Consider the expression 1/3bwh
Complete 2 of the description parts of the expression:
1. The entire expression is the product of ____.
2. In this context, 1/3 is a ____.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The algebraic expression for the verbal description:

The amount of acid in x liters of a 45% acid solution is

0.45x

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The amount of acid in x liters of a 45% acid solution.

This can be written as an expression as,

= 0.45x

We know that,

45% = 45/100 = 0.45

Thus,

The algebraic expression for the verbal description:

The amount of acid in x liters of a 45% acid solution is

0.45x

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Cesium would remain 10g after 2 years in 9.55 gram.

A process known as exponential decay is when a quantity diminishes over time at a pace that reduces proportionally as the quantity shrinks. The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

Given,

Cesium 134 decays exponentially. the half life of cesium-134 is 2 years.

The half-life of cesium is approximately 30 years.

The formula for half-life decay is A = P(1/2)t/d.

The half life is D. A Equals 9.55 gram when 10 gram and 2 years are entered into the equation.

Cesium would remain 10g after 2 years in 9.55 gram.

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Answer:

So, she should add 13 trees per acre for maximum harvesting

Step-by-step explanation:

a farmer finds that if she plants 80 trees per acre, each tree will yield 55 bushels of fruit. she estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. how many trees should she plant per acre to maximize her harvest? trees

Let x be the number of trees per acre she adds

Total trees per acre = 80+x

Yield per tree = 55-2x

F(x) = 4400−105x−2x2

Applying differentiation,

F1 (x) = -105 – 4x

Putting F1 (x) =0, gives x = -270/4

X= -67.5

F11 (x) = -4 < 0, hence maximum at x =-67.5

Trees

80-67.5 = 13

So, she should add 13 trees per acre for maximum harvesting

Answer:

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y).

Step-by-step explanation:

The number of mini hotdogs in the combination meal is 4.

The number of pizza rolls in the combination meal is 10.

The variables that you use to write the system are x and (x + 6).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation

We have,

Number of hot dogs = x

Number of pizza = x + 6

Hot dogs calories = 90

Pizza calories = 50

Now,

90x + 50(x + 6) = 860

Solve for x.

90x + 50x + 300 = 860

140x = 860 - 300

140x = 560

x = 560/140

x = 4

We can cross-check.

90 x 4 + 50 x 10 = 860

360 + 500 = 860

860 = 860

Thus,

The number of hot dogs is 4.

The number of pizzas is 10.

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According to the combination method, the number of elements in the sample space for this experiment is 3060

Combination method:

Basically, the mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter

Given,

A person eating at a cafeteria must choose 4 of the 18 vegetables on offer.

Here we have to calculate the number of elements in the sample space for this experiment.

While we looking into the given question, we have identified the following things,

They are

Total number of available vegetables = 18

Number of choices we have made = 4

Therefore, here the value of n = 18 and the value of x = 4,

Therefore, according to the ncx formula, it can be written as,

=> ¹⁸n₄ = 18! / 4! (18 - 4)!

=> ¹⁸n₄ = 18! / 4! (14)!

=> ¹⁸n₄ = 3060.

Therefore, there are 3060 number of elements in the sample space for this experiment.

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Cone A Has same height Twice radius of cone b what is ratio of volume of cone A to volume B therefore The ratio is 4:1

We know that,

[tex]volume of cone = \frac{1}{3}\pi (r)^{2}h[/tex]

From the question, we have

Cone A has same height of cone B

Cone A has twice radius of cone B

Ratio,

[tex]\frac{volume of cone A}{volume of cone B} = \frac{\frac{1}{3}\pi (2r)^{2}h }{\frac{1}{3}\pi (r)^{2}h} \\=\frac{4}{1}[/tex]

Divide:

Split is to divide into two or more equal sections, places, groupings, or divisions in its most basic form. To divide something simply means to provide it to a group in equal quantities or to cut it up into equal pieces. Let's imagine a diagonal divides a square into two triangles with equal areas. An integer may or may not be the result of a division operation. Sometimes the result will be expressed as decimal numbers.

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clinical prediction is not the fairest way to combine assessment information about job applicants, but the other methods (unit weighting, rational weighting, and multiple regression) are more fair

Clinical prediction appears to have a serious shortcoming in terms of overall fairness for applicants because it is a subjective process of bringing information and hence clinical prediction is not the fairest way to combine assessment information about job applicants .

unit weighting is the simple method which add scores of each candidate at each level of assessment in order to arrive at a total score

Thus the other methods (unit weighting, rational weighting, and multiple regression) are more fair

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The function is decreasing at the interval (-∞, -3) ∪ (-1, 1) ∪ (3, ∞), and the function is increasing at the interval (-3, -1) ∪ (1, 3), and the minima of the given function at the point (-3, -12), and maxima at point (3,2).

A graph can be defined as a pictorial representation or a diagram of any function that represents data or values.

According to the given graph,

We can see that the function is decreasing at the interval (-∞, -3), then the function is increasing at the interval (-3, -1), then the function is decreasing at the interval (-1, 1), the function is increasing at the interval (1, 3), and the function is decreasing at the interval (3, ∞).

The function is decreasing at the interval (-∞, -3) ∪ (-1, 1) ∪ (3, ∞), and the function is increasing at the interval (-3, -1) ∪ (1, 3).

Thus, the minima of the given function at the point (-3, -12), and maxima at point (3,2).

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Answer:

$1.2

Step-by-step explanation:

If the tax is 3% then we will have to multiply the price($40) by .03

40*.03= 1.2

The required solution is Option D.

sin 21 = x / 22

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sinθ

sec θ = 1/cosθ

cot θ = 1/tanθ

Given data ,

Let the triangle be ΔABC and ∠B = 90°

The angle ∠A = 21°

θ = 21°

The value of the hypotenuse = 22

The value adjacent to the right angle is BC = x

From the trigonometric functions , we know that

sin θ = opposite / hypotenuse

So ,

sin θ = x / 22

Hence , the required solution is sin 21 = x / 22

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Answer:

  C.  6 times as many as c is 72

Step-by-step explanation:

You want to know if c = 12, which statement is true.

We can substitute 12 for c in each expression and write it as a math equation. That makes it easier to see if it is true.

  12 = 5×4

  12 = 20 . . . . . false

  27 = 12×3

  27 = 36 . . . . . false

  6×12 = 72 . . . . . TRUE

  8 + 12 = 15

  20 = 15 . . . . . false

Step-by-step explanation:

y = 3

Step-by-step explanation:

Calculate the slope between the 2 points using the slope formula, then equate to - 3

m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

x

2

−x

1

y

2

−y

1

with (x₁, y₁ ) = (12, - 12 ) and (x₂, y₂ ) = (7, y )

m = \frac{y-(-12)}{7-12}

7−12

y−(−12)

= \frac{y+12}{-5}

−5

y+12

= - 3 ( multiply both sides by - 5 )

y + 12 = 15 ( subtract 12 from both sides )

y = 3

Answer:

Step-by-step explanation:

Answer:

Combine like terms.

Step-by-step explanation:

Subtract 0.02x from 0.05x

Then your equation should look like:

0.03x + 3 = 4

Answer: 4v so this would be the correct answer.

Answer:

Step-by-step explanation:

the question is about 15% tax equaling 19 cents.  So what amount of principle would be needed to make 19 cents worth of tax.

.19/.15=1.26666666

round up to $1.27 since we don't have parts of pennies for money.

8.25-1.27=$6.97 for the watermelon.  

Answer: 13x^6+3x^4+9x^3+2x^2+13

Step-by-step explanation:

The value of x is 51°

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given a right triangle with hypotenuse = 9 and perpendicular = 7

Using sine of angle, we get,

sinx = perpendicular/hypotenuse

sinx = 7/9

x = [tex]sin^{-1}[/tex]7/9

x = 51°

Hence, The value of x is 51°

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Answer:

a) y=4

b) x=8

Step-by-step explanation:

a) y will always be equal to 4 for this equation, so y=4

b) y will always be equal to 8 for this equation, so x=8

Each board must be within how many inches of 15 is l' actual = (15±0.03) inch, l" actual = (15±0.03) inch.

size is the quantification of attributes of an item or occasion, which can be used to evaluate other objects or occasions. In other words, measurement is a system of figuring out how massive or small a bodily amount is compared to a primary reference quantity of the identical kind.

size is the simple idea inside the have a look at of arithmetic and technology. measurement quantifies the traits of an object or occasion, which we can compare with other things or activities. measurement is the most commonly used word, on every occasion we address the department of an amount. dimension gear makes our lives higher and more secure, and they enhance the best and quantity of lifestyles. measurement is a contrast of an unknown quantity with a known fixed amount of the equal kind. The cost received on measuring a quantity is referred to as its value. The value of a quantity is expressed as numbers in its unit.

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Answer:

4.32 s (if you were asked to use 32.17 for g)

4.33 s (if you were asked to use 32 for g)

4.318 s (if you were asked to use 32.174 for g)

Step-by-step explanation:

This is an example of free fall! The free fall equation in terms of distance is as follows:

[tex]s=\frac{1}{2}gt^2[/tex]

Let's rearrange the equation so it's in terms of time.

[tex]t=\sqrt{\frac{2s}{g} }[/tex]

Plugging in [tex]300ft[/tex] for the distance and [tex]32.17\frac{ft}{s^2}[/tex] for the acceleration due to gravity,

[tex]t=\sqrt{\frac{2(300)}{32.17} }\\t=\sqrt{18.65}\\ t=4.32s[/tex]

The answer will vary based on what value you use for acceleration due to gravity. If you were asked to use 32, the answer will be 4.33s, if you were given a more specific value, like 32.174, the answer will be 4.318.

Answer:

B

Step-by-step explanation:

The rate of change is the slope.  See the picture.  The blue line (Function B) is steeper than the red line (Function A).

In the expression 8ab + 3b + 16 - 4a ,

(a) the number of terms are four .

(b) the factors of 8ab are  1 , 8 , a , b , 8a , 8b , ab , 2ab .

(c) the third term "16"is a constant .

In the question ,

the expression is given as 8ab + 3b + 16 - 4a .

Part(a)

the number of terms that are there in the expression is 4 ,

the terms are 8ab , 3b , 16 , 4a .

Part(b)

the first term is 8ab ,

the factors of 8ab is 1 , 8 , a , b , 8a , 8b , ab , 2ab .

Part(c)

the constant term is 16 , because there is no variable .

Therefore , In the expression 8ab + 3b + 16 - 4a ,

(a) the number of terms are four .

(b) the factors of 8ab are  1 , 8 , a , b , 8a , 8b , ab , 2ab .

(c) the third term "16"is a constant .

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Answer:

Please refer photo for answer

The number which when increased by 12 is two times its opposite. is

N = -4

final equation N + 12 = -2N

Additive inverse is the opposite of a number in terms of addition, this is the number that gives zero when added to the original number.

To get a result equal to 0, add the original number and the additive inverse or by simply changing the sign of the integer. On the basis of negation of the original number.

The problem says

N + 12 = -2N

N + 2N = -12

3N = -12

N = -4

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Binomial probability distribution = 0.0231

The following is the probability using the binomial distribution:

P(X = 24) = 0.0231.

In terms of the normal approximation to the binomial, it is discovered that:

Part 2: C. Yes, because np(1-p)≥10, the normal distribution can be used.

Part 3: The likelihood is: 0.0227.

Part 4: The distinction is: 0.0004.

Binomial probability distribution

The following is the mass function for the probability of exactly x successes:

P(X = x) = [tex]C_{n,x}[/tex].[tex]P^{x}[/tex].[tex](1-P)^{n-x}[/tex]

[tex]C_{n,x}[/tex] = [tex]\frac{n!}{x!(n-x)!}[/tex]

In which the following parameters are defined:

The number of trials in the experiment is n.

The probability of success on a single trial of the experiment is given by p.

The values of these parameters are given in the context of this problem as follows:

n = 59, p = 0.3, X = 24.

Hence the probability is:

P(X = x) = [tex]C_{n,x}[/tex].[tex]P^{x}[/tex].[tex](1-P)^{n-x}[/tex]

P(X=24) = [tex]C_{59,24}[/tex].[tex](0.3)^{24}[/tex].[tex](0.7)^{35}[/tex] = 0.0231

In the context of this problem, the condition for the approximation is verified as follows:

np = 59 x 0.3 = 17.7 ≥ 10.

n(1 - p) = 59 x 0.7 = 41.3 ≥ 10.

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The speed is 20/9 miles per hour.

From the question, we have

In 1/4 hour walked = 5/9 mile

In 1 hour walked = 5/9 *4 mile

=20/9 miles per hour

The speed is 20/9 miles per hour (MPH)

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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