A block of ice in the shape of a cube melts uniformly maintaining its shape. The volume of a cube given a side length is given by the formula V = S^3. At the moment S = 2 inches, the volume of the cube is decreasing at a rate of 5 cubic inches per minute. What is the rate of change of the side length of the cube with respect to time, in inches per minute, at the moment when S = 2 inches?

A. -5/12
B. 5/12
C. -12/5
D. 12/5

Answer:

$61.35

Step-by-step explanation:

95-33.65

The value of x that makes both triangles congruent is x = -1 and x = 5

An equation is an expression showing the relationship between numbers and variables.

Two triangles are congruent if their corresponding sides are equal to each other and their angles are also equal.

Since triangle ABC is congruent to DEF, hence:

BC = EF

Substituting:

4x - 2 = x² - 7

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1 and x = 5

The value of x is x = -1 and x = 5

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The value of x from the given equation is 3/4

Linear equations are equation that has a leading degree of 1. Given the expression below

-7/2(x+2/3)=5+2x

We are to determine the value of x as shown;

-7/2x -(7/2)(2/3) = 5 + 2x

-7/2x - 7/3 = 5 + 2x

Collect the like terms

-7/2x - 2x = 5 + 7/3

-7x-4x/2 = 5 + 7/3

-11x/2 = 22/3

Cross multiply

-33x = 44

-3x = 4

Divide both sides by -3

-3x/-3 = 4/-3

x = -3/4

Hence the value of x from the given equation is 3/4

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Quantitative data from census and survey data play a crucial role in providing information about changes in population composition and size in urban areas.

These data sources collect numerical information on various demographic characteristics of the population, such as age, gender, ethnicity, education level, income, occupation, and household size. By analyzing this quantitative data, researchers and policymakers can gain insights into the following aspects:

Population Size: Census and survey data provide accurate and comprehensive counts of the population in urban areas. They help determine the total number of individuals residing in specific geographic regions, allowing for the identification of population growth or decline over time.

Population Density: Quantitative data can reveal the concentration of population in urban areas by assessing the number of individuals per unit area. This information is crucial for urban planning, resource allocation, and infrastructure development.

Age Structure: Census and survey data provide information on the age distribution of the urban population. By examining age cohorts and changes over time, it is possible to identify trends such as population aging, shifts in generational composition, and potential implications for healthcare and social services.

Ethnic and Racial Composition: Quantitative data allow for the identification of ethnic and racial groups within urban areas. This information helps monitor changes in diversity and assess the impact of migration patterns, assimilation, and integration processes.

Socioeconomic Characteristics: Census and survey data capture information on income levels, educational attainment, employment status, and occupation. Analyzing these variables provides insights into the socioeconomic composition of urban populations, disparities, and potential social and economic challenges.

Housing and Household Characteristics: Quantitative data provide information on housing types, tenure, overcrowding, and household size in urban areas. This data is valuable for urban planning, housing policies, and understanding the dynamics of residential patterns.

By utilizing quantitative data from censuses and surveys, researchers and policymakers can monitor changes in population composition and size, identify social and economic trends, inform policy decisions, and address the specific needs and challenges of urban areas.

The complete question is:

Explain how quantitative data from census and survey data provide information about changes in Population composition and size in urban areas.

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Answer:

The polls were open for 9 hours on election day.

Step-by-step explanation:

10167 - 6504 = 3663

3663 / 407 = 9

Answer:

if I know the answer I will obviously tell you

sorry☹

The half life for this radioactive substance is 40.76 years

As we know that radioactive decay is a first order reaction

For first order reaction, we can write

N = \(N^{0}\)\(e^{-kt}\)

Where N = Amount of substance at time ‘t’

N0 = Initial amount of substance

K = rate constant for first order reaction

t = time in years

Now, as per the question,

This substance is decaying at a rate of 1.7% that means 98.3% will remain after decaying.

For time t = 1 years , N/\(N^{0}\) = 0.983

Therefore, we have

N/\(N^{0}\) = \(e^{-kt}\)

0.983 = \(e^{-k }\)

-k = ln(0.983)

-k = -0.017

K = 0.017 \(year^{-1}\)

Now for half life, We can write N/\(N^{0}\) = 0.5

Therefore, N/\(N^{0}\) = \(e^{-kt}\)

              0.5 = \(e^{-0.017t}\)

ln(0.5) = -0.017t

-0.693 = -0.017t

t = 0.693/0.017 = 40.76 years

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:

B. x ≤ 5

Step-by-step explanation:

This is an inequality problem. It can be solved by examining the arrow and the point it closes on. If the arrow is going left, then all values of x are going to be less than the point it closes on. If the arrow is going right, then all values of x are going to be greater than the point it closes on.
If the circle on the point the arrow is closed/shaded in, then that value will be included in the values of x, giving the inequality either a ≤ or ≥ sign depending on which way the arrow is pointing. If the circle on the point the arrow is open, then that value will not be included in the values of x. The sign will be either < or >.

---------------------------------------------------------------------------

For this problem, the arrow is going to the left of 5, which means all values of x are going to be less than 5. Because the circle is closed, that means that number 5 is included, or x can be equal to 5. If the circle was open, it wouldn't be included. So, the inequality is x ≤ 5.

hope this helps!

Step-by-step explanation:

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

C

Step-by-step explanation:

Slope can truly be anything as long as they're equal

Answer:

c.their slopes are equal

9514 1404 393

Answer:

  UW = 24

Step-by-step explanation:

Midsegment XY is half the length of base UW, so we can write ...

  UW = 2·XY

  73 -7x = 2(54 -6x) . . . . substitute the given expressions

  73 -7x = 108 -12x . . . . . eliminate parentheses

  5x = 35 . . . . . . . . . . . . . add 12x-73

  x = 7 . . . . . . . . . . . . . . . divide by 5

Now, we can find UW:

  UW = 73 -7x = 73 -7·7

  UW = 24

Step-by-step explanation:

I will assume the candle burns 1 inch per hour  ( you left that out of your post)

Length of candle remaining = 9 - 1 x      where 'x' = hours

     amount of candle remaining =   0   =  9 - x

                                           x = 9 hrs  

If it is NOT one inch per hour ....put that number where '1' is and solve for x

By adding both sides, the inequality system of equations for 3x + y -1 can be solved as x = 1/3 + y/3.

A relationship among two expresses or value that is not equal in mathematics is referred to as an inequality. Thus, disparity results from imbalance. In algebra, an inequality establishes the links between two non-equal numbers. Egality and injustice are not the same. Were using the not equal symbol most frequently when two quantities are not equal (). Values of any size can be contrasted using a variety of inequalities. By changing the two aspects until only the variables are left, some straightforward inequalities can be solved. However, a variety of factors support inequality: Both side' negative values are split or added. Exchange either left and the right.

given

3x + y < -1

Add y to both sides of the equation.

3x=1+y

Divide each term in 3x=1+y by 3 and simplify.

By adding both sides, the inequality system of equations for 3x + y -1 can be solved as x = 1/3 + y/3.

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Answer:

35.5 pounds or less

Step-by-step explanation:

99.7% is a z score of 2.75

(x - 30)/2 = 2.75

x - 30 = 5.5

x = 35.5

Answer: $9095.44

Step-by-step explanation:

Given:

P=7380

r=1.9% = .019

t= 11

V = P\(e^{rt}\)                               >substitute

V = 7380 \(e^{(.019)(11)}\)              >Plug into calculator

V= $9095.44

Answer: 3

Step-by-step explanation:

f(x)= -x + 4

Therefore f(-1)= -(-1)+4= 1+4= 5

h(x)= (3/2)x - 1

Therefore h(2)= (3/2)(2) -1= 3-1= 2

f(-1) - h(2)= 5 - 2= 3

Step-by-step explanation:

l = length

w = width

l = 3w

perimeter p = 2l + 2w = 56

using the identity of the first equation

p = 2(3w) + 2w = 56

6w + 2w = 56

8w = 56

w = 7 cm

l = 3w = 3×7 = 21 cm

so, the area is

l×w = 21×7 = 147 cm²

Answer:

Line A

Step-by-step explanation:

Any line facing towards the left side of the coordinate plane will have a negative slope.

Line C is facing towards the right

Line D and B doesn't have a slope

A is the only right answer

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

The distributive Property states in that it is necessary to multiply every one of the two numbers by the factor before performing the addition operation when a factor is multiplied by that of the sum or addition of two terms. The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive principle of binary operations.

The following generic form can be used to specify the distribution property:

a(b+c) = ab + bc

the following expression:

6(24)

We can observe the following by contrasting this to the general form:

a = 6

b + c = 24

Consequently, we must identify two integers from the options whose sum is 24.

These numbers, out of the options provided, are 20 and 4.

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

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Answer:

Assuming that 9x2 is \(9x^{2}\), the length would be x + 5.

Step-by-step explanation:

The area of a rectangle is length times width.

It's given that the width is 9x, so the length must be multiplied by 9x to get 9x^2 + 45x.

9x * x = 9x^2 and 9x * 5 = 45x

So, 9x(x + 5) = 9x^2 + 45x

The area of the rectangle can be denoted using the expression, (x + 5).

The area of a rectangle is represented by the product of its length and width.

ar RECTANGLE = length X width

to find out the Length of the rectangle, we need to put the following values in the formula:

area = 9x^2 + 45x

width = 9x

let us assume length = L

putting the above values in the formula we get:

9x^2 + 45x = 9x * L

simplifying the area by taking out the common factor, we can write the area to be:

9x * ( x+ 5)

now,

L = [9x * (x+ 5)] / 9x

L = ( x + 5)

Therefore the length of the rectangle can be represented by using the expression; x + 5.

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Answer:

In the graph we have y = other nuts and x = peanuts:

Now, looking at the table we can see that.

A = 9 peanuts and 7 other nuts, so this point is: A = (9,7)

we do the same to locate the other 4 points.

B = (6, 5)

C = (8, 9)

D = ( 5, 7)

E = (7, 4)

Now you need to see the graph and find those coordinates and select them.

where for example:

A = (9, 7) you need to find the point where the line number 9 in the horizontal axis crosses with the line 7 in the vertical axis (this is the bottom point on the far right)

..............................................................

Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

95.61 percent of pig pregnancies are longer than 109 days with 0.8413 probability.

A standard normal distribution or z-table can be used to approximate the probability of multiple ranges of values for a random normal variable X with a particular mean and standard deviation. This method entails changing X to a typical normal variable Z.

The normal, random variable X equals the length of pregnancy.

The mean and standard deviation are then calculated.

u, Mean = 114 days

σ, Standard deviation = 5 days

Then, as follows, transform X to its standard normal variable:

Z = (X - u) ÷ σ

Z = (X - 114) ÷ 5

To determine the likelihood of a pregnancy lasting more than 109 days,

P(X ≤ 109) = P(Z ≤ 114 - 109 ÷ 5)

P(X ≤ 109) = P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 when using a typical normal distribution or z-table.

The percentage of pig pregnancies that last more than 109 days,

P = (109 ÷ 114) × 100

P = 95.61%

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Answer:

57

Step-by-step explanation:

180-46-20=114 114/2=57

Answer:

57

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Your equation will be: 46+x+20+x=180

66+2x=180

x=57

The type of graph that represents a system of linear equations that has multiple common coordinate pairs as a solution is called a line of best fit.

A line of best fit is a line drawn through data points that are scattered on a graph in order to illustrate a relationship between the data.

This line helps identify patterns in the data, and when plotted, multiple points can exist on the same line, which in this case represents the multiple common coordinate pairs.

To create a line of best fit, you will need to calculate the slope and the intercept for the equation that models the data. Then, you can plot the points onto the graph and draw a line through them.

The resulting line will be the line of best fit, which represents the multiple common coordinate pairs that are solutions for the system of linear equations.

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