When 3.99 g of a certain molecular compound X are dissolved in 80.0 g of formamide (NH_2COH), the freezing point of the solution is measured to be 1.9 ' C. Calculate the molar mass of X. If you need any additional information on formamide, use only what you find in the ALEKS Data resource. Also, be sure your answer has a unit symbol, and is rounded to 1 significant digit.

Answer:

$3.52

Step-by-step explanation:

Lavender oil: $18.75/oz

Lemon oil: $15.90/oz

0.2 × $18.75 + 0.3 × $15.90 - 5 = $3.75 + $4.77 - $5 = $3.52

The work done in stretching the spring from its natural length to 0.9 feet beyond its natural length is 3 foot-pounds.

This can be calculated using the equation W = F * d, where W is the work done, F is the force applied, and d is the distance the spring is stretched. In this case, F is 6 pounds and d is 0.5 feet (0.9 feet - 0.4 feet). Thus, W = 6 * 0.5 = 3 foot-pounds.

Force is a concept in physics that describes the influence that can change the motion of an object. Work done is the amount of energy transferred to or from an object when a force acts on it and causes it to move through a distance.

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Correct question:

A force of 6 pounds is required to hold a spring stretched 0.4 feet beyond its natural length.

How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?

Problem 1

r = radius

A(r) = circular area function in terms of radius

A(r) = pi*r^2

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

Problem 2

t = number of minutes that have elapsed

r(t) = radius function at time t

r(t) = 0.1t

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

Optional Section:

Apply function composition to find the area in terms of elapsed time.

A(r) = pi*r^2

A( r(t) ) = pi * ( r(t) )^2

A(t) = pi*(0.1t)^2

A(t) = pi*0.01t^2

A(t) = 0.01pi*t^2

This gives the area of the circular puddle at any time t

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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9. a+b=17

b=3+a

17=a+3+a

14=2a

7=a

b=3+7

b=10

10. 156.25/6.25= 25 hrs

Answer:

9. x = 7, y = 10

Step-by-step explanation:

9. I first set up an equation x+y=17

then I set up a second equation y = x+3

I substitute y for x+3 and get x+x+3=17 or 2x+3=17

then I just evaluate the equation x=7

I then use my first equation x+y = 17 and substitute the value 7+y= 17 and get y = 10

10. Just divide 156.25 with 6.25 to get the number of hours she had to work to get 156.25 dollars. The answer would be 156.25/ 6.25 = 25

Answer:

y² + 18y + 81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

(y + 9)(y + 9)

Step 2: Expand

Answer:

Está bien. ¿Que quieres que haga?

Answer:

Two lines intersect at right angles. Conclusion: The two lines are

perpendicular.

Step-by-step explanation:

Answer:

The answer is C x=15

Step-by-step explanation:

Simplify both sides of the equation.

2(x−2)=26

(2)(x)+(2)(−2)=26(Distribute)

2x+−4=26

2x−4=26

Add 4 to both sides.

2x−4+4=26+4

2x=30

Divide both sides by 2.

2x /2  =  30/ 2

x=15

Answer:

x= 15

In linear equation, The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

What in mathematics is a linear equation?

5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5

Since there are 15 values,

           their mean is 111.5/15=7.43 which is very close to the mean.

A)A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes

D)The shape of the histogram can be approximated with a normal curve.

E)The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

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The percentage that will restore it to its original price is 100% decrease.

The percentage increase of a material implies that it's price doubles so that its new price is twice of its original price. While percentage price decrease means that the price of a commodity reduces by its original price.

In the given question, the price of the desk lamp is $60. So that;

100% increase in price = 60/100 * 100

                                      = $60

New price = 60 + 60

                 = $120

Thus the percentage decrease that will restore it to its original price of $60 is 100% decrease of its new price.

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Given the expression:

You need to remember the order of operations PEMDAS. This is:

- P: Parentheses.

- E: Exponents.

- M and D: Multiplication and Division.

- A and S: Addition and Subtraction.

Therefore, you can conclude that the operations inside the parentheses should be solved first. In this case, the operation inside the parentheses is the Addition of 8 and 2.

Hence, the answer is: Option A.

Answer:

\(26 * 26^8 = 5.4295037e+12.\)

Step-by-step explanation:

\(26^8 = 208,827,064,576.\\26 * 208,827,064,576 = 5.42950373e+12.\)

hope this helps.

Answer:

you have to break it into 3 shapes tge first is 5×3=15. tge second is 4×2=8, tge 3rd is 1/2 (4)×3=6, 15+8+6=20 units

The area of the prism in the graph is A = 29 units²

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

Let the measure of each unit of the prism be = 1 unit

Now , the prism can be split into 3 figures

Area of prism = Area of square + area of rectangle + area of triangle

Now , area of square = ( 3 units )² = 9 units²

Now , the area of rectangle = 2 units x 7 units = 14 units²

And , the area of triangle is = ( 1/2 ) x 3 units x ( 4 units ) =6 units²

So , the area of prism A = 9 + 14 + 6

A = 29 units²

Hence , the area of prism is A = 29 units²

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Answer:

Mixed Number: 11 1/5

Improper Fraction: 56/5

Step-by-step explanation:

Given:

It takes 3/7 tonnes of sand to make a tonne of concrete.

Mason has 4 4/5 tonnes of sand.

To Find:

How much concrete, in tonnes, can he make?

Give your answer as a fraction in its simplest form.

Solve:

By the given , takes 3/7 tonnes of sand = tonne of concrete.

Thus, we divide the total of tonnes of sand Mason have by how many it takes to make a tonne of concrete.

Hence, we have;

\(4\frac{4}{5}\div \frac{3}{7}\)

Convert to improper fraction;

\(=\frac{24}{5}\div \frac{3}{7}\)

Using the fraction rule;

\(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

\(=\frac{24}{5}\times \frac{7}{3}\)

Cross-cancel common factor - 3

\(=\frac{8}{5}\times \frac{7}{1}\)

Multiply fraction:

\(=\frac{56}{5}\)

Convert improper to mixed number:

\(=11\frac{1}{5}\)

Hence, the answer is \(\mathrm{11\frac{1}{5}\;or\;\frac{56}{5} }\)

RevyBreeze

Answer:

\(\rm Improper \ fraction : \sf \sf \dfrac{56}{5} \ of \ concrete\)

\(\rm Mixed \ fraction: \sf 11\dfrac{1}{5} \ of \ concrete\)

Explanation:

\(\sf concrete = total \ tones \ of \ sand \ \div \ unit \ rate \ of \ sands \ required \ to \ make \ concrete\)

Here given:

Concrete:

\(\sf \rightarrow 4\dfrac{4}{5} \div \dfrac{3}{7}\)

\(\rightarrow \sf \dfrac{24}{5}\div \dfrac{3}{7}\)

\(\rightarrow \sf \dfrac{24}{5}\times \dfrac{7}{3}\)

\(\rightarrow \sf \dfrac{56}{5}\)

\(\rightarrow \sf 11\dfrac{1}{5}\)

Answer: D is incorrect

Step-by-step explanation:

a. if we take any x ∈ , T(x) will also be in , and therefore, is invariant under T. b. in linear algebra, where understanding the behavior of linear transformations on subspaces is crucial.

(a) If ⊆ null T, then is invariant under T.

To prove that is invariant under T, we need to show that for any x ∈ , T(x) is also in . Since ⊆ null T, we know that T(x) = 0 for all x ∈ . Thus, if we take any x ∈ , T(x) will also be in , and therefore, is invariant under T.

(b) If range T ⊆ , then is invariant under T.

To prove that is invariant under T, we need to show that for any x ∈ , T(x) is also in . Since range T ⊆ , we know that T(x) ∈ for all x ∈ . Thus, if we take any x ∈ , T(x) will also be in , and therefore, is invariant under T.

In summary, if ⊆ null T, then is invariant under T, and if range T ⊆ , then is invariant under T. These results are important in linear algebra, where understanding the behavior of linear transformations on subspaces is crucial.

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Answer:

D

Step-by-step explanation:

The zeros are the x-intercepts.

The parabola intercepts the graph at (0,0) and (4,0)

Answer:

D

Step-by-step explanation:

its the x intercepts

Answer:

None

Step-by-step explanation:

A rational number can never be changed into irrational

Answer:

The answer to your question is None

Step-by-step explanation:

A rational number can never be changed into irrational.

In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

I hope this helps and have a wonderful day!

The correct statement regarding the linear function is given as follows:

a) The slope of the function is 85, and it represents the change in net profit per product sold.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The function for this problem is given as follows:

P(x) = 125x - (40x + 1200).

In slope-intercept format, it is obtained as follows:

P(x) = 125x - 40x - 1200

P(x) = 85x - 1200.

Hence the slope is of 85, representing the rate of change, and option a is the correct option.

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The final amount of the compound interest after 6 years would be $ 294, 122, 500

The formula for the final amount is given as;

\(A = P( 1 + \frac{r}{n}) ^n^t\)

Where

A = final amount

P = principal interest

r = interest rate

n = number of times

t = time of periods

We have,

A = \(2500\) \(( 1 + \frac{6}{1}) ^1^*^6\)

A = \(2500 ( 7)^6\)

A = \(2500\) × \(117, 649\)

A =$ \(294, 122, 500\)

Thus, the final amount of the compound interest after 6 years would be $ 294, 122, 500

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A scatter plot would be useful for showing the trend of sales, over time, of five different brands of blank DVDs. So, the correct answer is B).

A scatter plot is a type of graph that represents the relationship between two variables. It is particularly useful for showing the trend or pattern in data over time.

In this case, option B is the most appropriate because it involves plotting the sales data of different brands of blank DVDs over time. The scatter plot would allow for visualizing how the sales of each brand vary over different time periods, enabling the identification of any trends or patterns in the sales data.

So, the correct option is B).

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--The given question is incomplete, the complete question is given below " A scatter plot would be useful for

A. Showing the relative number of sales of four different brands of blank DVDs

B. Showing the trend of sales, over time, of five different brands of blank DVDs

C. Showing the relationship between the sales of blank CDs and blank DVDs

D. Showing the top selling brands of blank DVDs"--

Answer:

Answer D

Step-by-step explanation:

Solve for b:

\(\frac{1}{2}b \geq 4\)

Divide both sides by a half

\(b\geq 8\)

We see that its a greater than or equal too sign, which means the number line has to be facing to the right with a closed circle. Therefore, D is our answer.

Answer:

pounds?

Step-by-step explanation:

Answer:

ounces

Step-by-step explanation:

Hamsters are quite light, so it would make sense that the answer is in ounces

The probability of getting 1 on two of the dice, given that the sum of the numbers on the three dice is 7, is:

P(A|B) = P(A and B) / P(B) = 3/3 = 1

To solve this problem, we need to use conditional probability.

We are given that the sum of the numbers on the three dice is 7, so let's first find the number of ways that we can obtain a sum of 7.

There are six possible outcomes when rolling a single die, so the total number of outcomes when rolling three dice is 6 x 6 x 6 = 216.

To get a sum of 7, we can have the following combinations:

- 1, 2, 4
- 1, 3, 3
- 2, 2, 3

So there are three possible outcomes that give us a sum of 7.

Now let's find the number of ways that we can obtain 1 on two of the dice.

There are three ways that this can happen:
- 1, 1, x
- 1, x, 1
- x, 1, 1

where x represents any number other than 1.

We need to find the probability of getting 1 on two of the dice, given that the sum of the numbers on the three dice is 7. This is a conditional probability, which is given by:
P(A|B) = P(A and B) / P(B)

where A is the event of getting 1 on two of the dice, and B is the event of getting a sum of 7.

The probability of getting 1 on two of the dice and a sum of 7 is the number of outcomes that satisfy both conditions divided by the total number of outcomes:

- 1, 1, 5
- 1, 5, 1
- 5, 1, 1

So there are three outcomes that satisfy both conditions.

Therefore, the probability of getting 1 on two of the dice, given that the sum of the numbers on the three dice is 7, is:
P(A|B) = P(A and B) / P(B) = 3/3 = 1

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In the formula =if(a1=b1, c1, c2), the result will be c2 if; A does not equal B

The IF function is probably one of the most famous functions in Microsoft Excel. The "IF Function" normally allows us to make logical comparisons between a value and what we expect. This means that an IF statement can possibly have two results. The first result would be if your comparison is True, while the second result will be if your comparison is False.

Now, this means hat the IF function has 3 arguments namely;

From the above definitions when they are applied to the question, since a1 = b1, then we can say that the result can be c2 if A is not equal to B.

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Key takeaways of Cross Tab and Scatter plots (Reflecting on visual models):

We can develop insights and knowledge about our world by manipulating and visualizing data, in particular by finding patterns. Cross Tab is a powerful method of data analysis that helps to compare the relationship between two or more variables. The scatter plot is one of the most effective tools to visualize two-variable data.

The main takeaways from cross-tabulation and scatter plots include:

In conclusion, both cross-tabulation and scatter plots are effective tools for data analysis that can help to identify patterns and relationships between variables. When investigating two columns of data we can observe patterns of different values that move together (are correlated). We cannot know for certain the cause of the correlation.

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