A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle of oil weighs 400 grams.
The weight M of the bottle of oil, in grams, is a function of V, the volume, in milliliters, of oil Sophia has used.
Write the function's formula.

The correct equation that represents the value of the car after 2 years is: V = 28,800(1 - 0.066)².

In mathematics, an equation is a statement that two expressions are equal. An equation consists of two parts: the left-hand side (LHS), which is the expression on the left of the equals sign, and the right-hand side (RHS), which is the expression on the right of the equals sign. The two sides are connected by the equals sign (=). The solution to an equation is the value or set of values of the unknown quantity that makes the equation true. An equation can have one solution, multiple solutions, or no solutions at all. Equations are used extensively in many areas of mathematics, as well as in physics, engineering, economics, and other fields, to model relationships between variables and solve problems.

Here,

Here, OV represents the original value of the car after 2 years, which is the value we are trying to find.

The car depreciates at a rate of 6.6% per year, which means that the value of the car decreases by 6.6% each year. Therefore, the value of the car after 1 year is:

28,800(1 - 0.066) = 26,979.20

To find the value of the car after 2 years, we need to apply the same percentage decrease again to the value after 1 year. Therefore, we multiply the value after 1 year by (1 - 0.066) again:

OV = 26,979.20(1 - 0.066) = 25,334.51

Therefore, the value of the car after 2 years is approximately $25,334.51.

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A and B are subsets of S.

Set A = contains 27 elements

Set B = contains 91 elements

A y B have 9 elemts in common

Now, to find the total elements in (Aor B), we use:

Total elements in (AorB) = Elements in A + Elements in B - (Elements in A&B)

Replacing the values:

Total elements in (AorB) = 27 + 91 - 9

Total elements in (AorB) = 109

To find the total elements in S:

S (total elements) = (element in AorB) + (elements not in A or B)

Replacing the values:

S (total elements) = 109 + 28

S (total elements) = 137

Hence, there are 137 elements in the universal set S.

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

Alright so there are two ways

Step-by-step explanation:

If your radius is 16cm, then the diameter equals 32cm

If your diameter is 16cm, then your radius equals 8cm

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

Amount of $150,000 represents 42.86% of $350,000.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.

Assume that it represents [x%] percent of the total value. Then, we can write -

x = (150000/350000) x 100

x = 42.86%

Therefore, $150,000 represents 42.86% of $350,000.

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Answer:

1.85

Step-by-step explanation:

I think this is the answer your looking for ??

The logic diagram, characteristic table, and equation of the SR flip-flip are shown. (Refer to the images attached below)

A gated set-reset flip-flop is an SR flip-flop.

The flip-flop is controlled by the S and R inputs when the clock pulse changes from LOW to HIGH.

Till the clock pulse is on a rising edge, the flip-flop won't alter.

There is a chance that the outputs will be HIGH or LOW when S and R are both HIGH at the same time.

A global flip flop with two inputs, the JK flip flop has the letters "J" and "K."

While J and K are not the reduced abbreviated letters for Set and Reset in the SR flip flop, S and R are.

SR flip-flop equation: Qn+1 = S + QnR'

(Refer to the images attached below)

Therefore, the logic diagram, characteristic table, and equation of the SR flip-flip are shown. (Refer to the images attached below)

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Answer:

12q=1200

12q/12=1200/12

q=100

1 quintal has 100 kg. The equation above was to show how to solve it with a variable. Hope this helps!

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

300 x .005= $1.50

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

Answer:

2/6 or 1/3

Step-by-step explanation:

To find probability, we have to look at the favorable outcome (the outcome we're looking for - in this case, rolling greater than a 4) divided by the total outcomes (the total possible outcomes - in this case, 6).

There are 6 sides on a dice, as laid out in the question. How many numbers on a dice are greater than 4? Well, 5 and 6, of course. These are only two sides of the dice, so our probability would be 2/6, or simplified, 1/3, and that's our answer.

If you'd like a more in-depth explanation, please let me know and I'd be happy to help. :)

Answer:

12/4=3and3/4is 1/4 of the product of 12

and 3.

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

11.00

Step-by-step explanation:

1. Since he's trying to buy 2 pairs you can multiply 27.00 by 2 or you can just add 27.00+27.00 and will get 54.00

2. Subtract 65.00-54.00

3. and you'll get 11.00

Out of 150 days, for 47 days light will be red.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have every day a school bus driver passes the same traffic light twice, once before school and once after. Each time he passes the light, he records if it is red, green, or yellow. A summary of the data he got after 200 days is shown.

Total number of days the light is red out of 200 days is 63. Probability that the light will be red is

P[E] = (63/200)

Rewrite it as a proportional relationship -

63 = P[E] x 200

For 150 days, we can write -

x = P[E] x 150

So, we can write -

x/150 = 63/200

[x] = (63/200) x 150

[x] = 63 x 3/4

[x] = 47 (approx.)

Therefore, out of 150 days, for 47 days light will be red.

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Vector v can be written as the sum of two vector components, \(v_x = -5i\)  and \(v_y = 6j\)

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)

The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)

Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)

Now, we can write vector v as the sum of its components:

\(v = v_x + v_y = -5i + 6j\)

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

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\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\underline{y} is inversely proportional to the square root of \underline{x}}}{y = \cfrac{k}{\sqrt{x}}}~\hfill \stackrel{\textit{we also know that}}{ \begin{cases} y = 61\\ x = 9 \end{cases}}\)

\(61=\cfrac{k}{\sqrt{9}}\implies 61=\cfrac{k}{3}\implies 183=k~\hfill \boxed{y = \cfrac{183}{\sqrt{x}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{when x = 81, what is "y"?}}{ y = \cfrac{183}{\sqrt{81}}\implies y=\cfrac{183}{9}}\implies y = \cfrac{61}{3}\implies y = 20.\overline{3}\implies y = \stackrel{\textit{rounded up}}{20.33}\)

Answer:

x=2-y

Step-by-step explanation:

subtract y from both sides

x+y-y=z+y

x=2-y

Answer:

a. 12 cm

Step-by-step explanation:

Since the squares have a side length of 2 cm, all sides of the squares are 2cm(See 1st image).

Combine those two squares to form a rectangle(See 2nd image)

Now you can add the two sides that say 2 cm in order to make a

4 cm side(See 3rd image)

Now, add all sides up: 4 + 4 = 8  ==> the 2 long sides

2 + 2 = 4  ==> the 2 short sides

8 + 4 = 12 cm ==> total length

Answer:20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

She kills all 6 and takes the money and keeps it for her self.

The exponential growth formula is 3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet is  63.16 years.

The exponential growth formula usually has this form:

FV = P (1 + r)^n

3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet  = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years

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Answer:

38.48

Step-by-step explanation:

Answer

Mean = 85.6

Median = 90

Mode = 95

Range = 35

Explanation

We are given a data distribution and told to find the mean, median, mode and range.

So. we will take it one at a time.

Mean

The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.

Mean = (Σx)/N

x = each variable

Σx = Sum of the variables

N = number of variables

Σx = 75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770

N = 9 variables

Mean = (Σx)/N = (770/9) = 85.6

Median

The median is the variable that falls in the middle of the distribution when all the variables are arranged either in ascending or descending order.

So, to obtain the median for this, we have to arrange all the scores in data.

75,95,90,95,60,95,75,95,90​

Arranged, we have

60, 75, 75, 90, 90, 95, 95, 95, 95

After arranging, we can see that the fifth variable or the variable in the fifth position is the median.

Median = 90

Mode

The mode is the variable that occurs the most frequently in the distribution.

We can easily see that 95 is the score that occurs the most (four times), hence,

Mode = 95

​

Range

The range is the difference between the variable with the greatest value and the variable with the least value. Mathematically, that is,

Range = (Variable with the greatest value) - (Variable with the least value)

Variable with the greatest value = 95

Variable with the least value = 60

Range = 95 - 60 = 35

Hope this Helps!!!

Answer:

As the x=-2 does not satisfy the inequality.

Therefore, the solution is False!

Step-by-step explanation:

Given the expression

\(x-10x+1<\:20+\:5x\:\)

substituting the value x = -2

\(\left(-2\right)-10\left(-2\right)+1<20+5\left(-2\right)\)

\(-2+20+1 < 20-10\)

\(19 < 10\)

As the x=-2 does not satisfy the inequality.

Therefore, the solution is False!