One cubic foot of a chemical weighs 50 pounds. How many pounds of the chemical can a container with the dimensions shown hold?

Answer:

381.25 or 381 1/4 feet

Step-by-step explanation:

Area is a rectangle is length times width. so,

30.5*12.5 = 381.25

Answer:

step 3: he should have divided both sides by -7

By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

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Answer:

0.44 meters a second

Answer:

The answer is 0.43

Step-by-step explanation:

The process of counting the number of observations is knowns as Tabulation.

The logical representation of the numerical data written in rows and columns is known as tabulation. It helps in to facilitate the statistical analysis. The data that can be organized in the form of table is termed as tabulation. The data in the table can be represented in a systematic manner. The main objective of tabulation is to present the systematic data in a brief manner.

There are two types of tabulation. They are:

1.Simple tabulation

2.Complex tabulation

A simple example for the tabulation is, The population of the people is divided into religion, caste, gender, age etc.

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The new number in the sequence is found to be 7.

In mathematics, a sequence is a list of components, usually numbers, where the components' order is important. Here, everything fits into a predetermined pattern.

A sequence can be arranged in either ascending or descending order.

There are certain unique sequences, including the triangular number series, square number sequence, cube number sequence, geometric sequence, Fibonacci sequence, and harmonic sequence.

According to the question, the sequence follows the pattern:

Next number=2(Previous number)-2

On substituting the values,

48=2(Previous number)-2

50=2(Previous number)

Previous number=\(\frac{50}{2}\)=25

New number=sum of digits of the previous number in the sequence

                     =2+5

                     =7

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The statement and reasons which completes the two column table to prove that ∠BAC ≅ ∠CDB and ∠ACD ≅ ∠ABD, in the parallelogram ABCD can be presented as follows;

Statement \({}\)                                        Reasons

6. ΔACB ≅ ΔDCB \({}\)                            ASA congruence

7. ∠BAC ≅ ∠CDB\({}\)                             CPCTC

8. m∠ACD = m∠ACB + m∠DCB \({}\)     Angle addition postulate

12. m∠ACD = m∠ABD \({}\)                     Substitution

A parallelogram is a quadrilateral that has a pair of parallel and congruent facing sides.

The details of the reasons used to prove the congruence of the angles are presented as follows;

4. Reflexive property of congruence; The reflexive property states that a part or figure is congruent to itself

5. Alternate interior angles theorem; The alternate interior angles theorem states that alternate interior angles formed by parallel lines and a transversal are congruent.

6. Angle addition postulate; The angle addition postulate states that the sum of two adjacent angles is equivalent to the measure of the larger angle that they form together

7. Definition of congruent angles; Congruent angles are angles that have the same angular measurement

8. Substitution property; The substitution property states that if a = b, then b can substitute a in an equation and the equation remains correct or true.

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the given expression is'

y = 13x - 5

compare this equation with the standard equation

y = mx + c

here m is slope

so m = 13

thus, the slope of the equation is m = 13

===================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 500*(1+0.05/4)^(4*3)

A = 580.3772588615

A = 580.38

Answer:

6x + 2 m

Step-by-step explanation:

Given:

A (area) = (24x^2 + 8x) m^2

l (side length) = 4x m

Find: b (base) - ?

In order to find the base of the rectangle, you have to divide its area by the side length:

\(b = \frac{24 {x}^{2} + 8x}{4x} = \frac{4x(6x + 2)}{4x} = 6x + 2\)

Answer:

base = 6x + 2 m

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = base × width

given A = 24x² + 8x and width = 4x , then

24x² + 8x = base × 4x (divide both sides by 4x )

\(\frac{24x^2+8x}{4x}\) = base

\(\frac{24x^2}{4x}\) + \(\frac{8x}{4x}\) = base , then

base = 6x + 2 m

In summary, it takes approximately 4.92 hours for 2 milligrams to be left in the body and the half-life of the drug is approximately 2.29 hours.

To determine when 2 milligrams is left in the body, we can substitute A = 2 into the equation given: 2 = 10(0.8)^t. Then, we can solve for t by dividing both sides by 10 and taking the natural logarithm of both sides to isolate t: t = ln(2/10) / ln(0.8). Using a calculator, we find that t is approximately 4.92 hours.

To find the half-life of the drug, we need to determine the time it takes for half of the initial dose (10 milligrams) to be eliminated from the body. This occurs when A = 5 milligrams. We can use the same equation and substitute A = 5: 5 = 10(0.8)^t. Then, we can solve for t using the same method as before: t = ln(0.5) / ln(0.8). Using a calculator, we find that t is approximately 2.29 hours.

In summary, it takes approximately 4.92 hours for 2 milligrams to be left in the body and the half-life of the drug is approximately 2.29 hours.

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Answer: i and lll

Step-by-step explanation:

Answer:

X>-4

Y>-18

X>-7

I hope this helps

Answer:

It’s C

Step-by-step explanation:

Answer:

C.  

Step-by-step explanation:

2/3÷4/21=3½

Plzzzz give me Brainliest!!!!!  

Answer:

your answer is:

b must equal 7 and a second solution to the system must be located at the point (2, 5).

Step-by-step explanation:

Answer: A

Step-by-step explanation:

To multiply mixed numbers, convert to improper fractions, cancel factors, multiply the remaining factors, and simplify if possible.

Increasing blended numbers can be tedious, yet there is an easy route that can work on the interaction. To duplicate blended numbers, convert them to ill-advised portions, then drop any elements that show up in both the numerator and denominator of the divisions. At long last, duplicate the leftover elements in the numerator and denominator and work on the subsequent division if conceivable. For instance, to duplicate 2 1/2 by 3 2/3, first proselyte them to inappropriate divisions, which are 5/2 and 11/3. Then, drop the variable of 2 in the numerator of the principal portion and the denominator of the subsequent division. The outcome is 55/3, which can be improved to 18 1/3. This alternate way can save time and assist understudies with taking care of augmentation issues all the more proficiently.

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Negative bases are not often used in logarithms because they produce complex results. For example, if the base is negative and the exponent is positive, the result will be a complex number.

Logarithms are generally used to solve equations or simplify complex problems. Having a negative base would complicate this process, as it would introduce complex numbers or even imaginary numbers into the equation. Consequently, it is not feasible to use negative bases with logarithms. Furthermore, if both the base and the exponent are negative, the result is undefined. This means that it is not possible to evaluate the expression. Therefore, for these reasons, it is usually not practical to use negative bases when working with logarithms.

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The mirror's focal length is 3.00 m. The image distance is 2.77 m. The image is virtual and inverted.

(a)To determine the mirror's focal length, we can use the mirror equation:

1/f = 1/di + 1/do,

where f is the focal length, di is the image distance, and do is the object distance.

Given:

Object distance, do = 8.80 m

Radius of curvature, R = 6.00 m

Using the relationship between the radius of curvature and focal length, f = R/2, we find:

f = 6.00 m / 2 = 3.00 m

(b) Next, we can use the mirror equation to find the image distance, di. Rearranging the equation:

1/di = 1/f - 1/do,

1/di = 1/3.00 - 1/8.80,

di = 2.77 m.

(c)The magnification, M, can be determined using the formula:

M = -di/do = -2.77/8.80 = -0.315.

(e)Since the magnification is negative, the image is inverted.

(d)Since the image is formed on the same side as the object (in front of the mirror), the image is virtual.

In summary:

(a) The mirror's focal length is 3.00 m.

(b) The image distance is 2.77 m.

(c) The magnification is -0.315.

(d) The image is virtual.

(e) The image is inverted.

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Answer:

(X+1) (x - 4) (x+2)

Step-by-step explanation:

All the coefficients are integers so apply the rational zeros theorem.

The coefficient of x^3 is 1.

Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0

The remainder is 0. (x+1) is a factor.

(x + 1) ( x^2 - 2x - 8)

x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)

= (x -4) (x+2)

Answer:

28.26

Step-by-step explanation:

A=3.14 r^2

3.14x3x3

3.14x9

28.26

Hope this helps! :)

(Please don't hate on me if its wrong)

Answer:

it doesn't help with word problems tho :( i dont think at least.

Step-by-step explanation:

Answer:

0.5 as a fraction is written as 1/2.

Step-by-step explanation:

There are 3,360 ways a 16-person club can select a president, vice-president, and secretary from among its membership.

The number of ways a 16-person club can select a president, vice-president, and secretary from among its membership can be calculated using permutations.

First, there are 16 options for selecting the president. Once the president is selected, there are 15 remaining options for selecting the vice-president (since the same person cannot hold both positions).

Finally, there are 14 remaining options for selecting the secretary.

Therefore, the total number of ways to select a president, vice-president, and secretary is:

16 x 15 x 14 = 3,360

There are 3,360 ways a 16-person club can select a president, vice-president, and secretary from among its membership.

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Answer:

Step-by-step explanation:

( (625)^(1/2)  )^1/2

The safest and best way to do this is one set of brackets at a time using 1 exponent at a time.

The next best way is to combine the exponents and find the 1/4 root once. Both answers should be the same.

(625)^1/2 = sqrt(625) = 25

(25)^1/2 = 5

((625)^(1/2))^1/2 = 625^1/4 = 5

Answer:

The second one is your answer!!

Step-by-step explanation:

The equation of the parabola is \($\dfrac{(x - 4)^2}{8(y - 1)} = 1$\)

The equation of a parabola with focus (h, k + p) and directrix y = k - p can be written as:

\($\dfrac{(x - h)^2}{4p(y - k)} = 1$\)

In this case, the focus is (4, 3) and the directrix is y = -1. Comparing this with the general equation of a parabola, we can determine the value of p.

k + p = 3 (since the y-coordinate of the focus is 3)

k - p = -1 (since the equation of the directrix is y = -1)

Adding these two equations, we get:

2k = 2

Dividing by 2, we find:

k = 1

Substituting this value back into one of the equations, we can solve for p:

1 + p = 3

p = 2

So, the value of p for this parabola is 2.

The equation of the parabola can be written as:

\($\dfrac{(x - 4)^2}{8(y - 1)} = 1$\)

This represents a parabola with focus at (4, 3) and directrix y = -1.

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Answer:

the width is 76 M

Step-by-step explanation:

dont really know how to explain it. did this math in my head.

Answer:

$4.25

Step-by-step explanation:

4 quarters is 1 dollar

1 nickel is 5 cent

14 divided by 4 = 3.5

3.5 + 5 times 5 =  $4.25

Step-by-step explanation:

1 dollar = 4 quarters

1 dollar = 20 nickel

1 nickel = 0.2 quarter

5 nickel = 0.2 x 5 = 1 quarter

14+ 1 = 15 quarter

15 quarter = 3.75$