2 people are evenly sharing 15 milliliters of perfume. How much perfume should each person get? ( as a fraction/mixed number)

Answer: The correct answers are B, C, and D.

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

congruent.. because they are opposite another..

Answer:

Parallel

Step-by-step explanation:

Parallel means they don't touch. So, when they are going straight they will never curve or touch each other in the process.

The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Answer:

Step-by-step explanation:

To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.

For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).

You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).

I hope this helps! Let me know if you have any questions.

Answer:

<1=62

<2=83

<3=35 this is the answer of this question

Answer:I would but I’m clueless sorry

Step-by-step explanation:

Step-by-step explanation:

\({:}\longrightarrow\)\(\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right]\)

\({:}\longrightarrow\)\(\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right] \)

\({:}\longrightarrow\)\(\sf 50.5×1248 \)

\({:}\longrightarrow\)\(\sf S_101=63504\)

\({:}\longrightarrow\)\(\sf a_101=13+(101-1)-4 \)

\({:}\longrightarrow\)\(\sf a_101=13+100(-4)\)

\({:}\longrightarrow\)\(\sf 13-400 \)

\({:}\longrightarrow\)\(\sf a_101=-387 \)

Yes, there is statistical evidence that the drug is effective in reducing infarct size because p-value is less than the significance value.

Let us first define the hypotheses;

Null Hypothesis; H₀: µ = 25

Alternative Hypothesis; H₁: µ < 25

Standard Deviation; σ = 10

Sample mean; x' = 16

Sample size; n = 8

z-score is;

z = (16 - 25)/(10/√8)

z = -2.55

From online z-score table, the p-value is 0.005

Since p-value is less than the significance value, then we reject the null hypothesis and conclude that the drug is effective in reducing infarct size.

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Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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Step-by-step explanation:

11×35

11 necklaces and 35 beads per necklace

385

or 385 beads for all 11 necklaces

b=385

the slope is -14/6 or the simplified version is -7/3

The probability that the student chosen at random was male OR got an "A" is 31/58.

To find the probability that the student was male OR got an "A," we need to calculate the probability of each event separately and then add them together.

Let's calculate the probability of the student being male:

Total number of males = 11

Total number of students = 58

Probability of the student being male = Number of males / Total number of students = 11/58

Now, let's calculate the probability of the student getting an "A":

Total number of students who got an "A" = 20

Probability of the student getting an "A" = Number of students who got an "A" / Total number of students = 20/58

To find the probability of the student being male OR getting an "A," we add the two probabilities together:

Probability (Male OR A) = Probability (Male) + Probability (A) = 11/58 + 20/58 = 31/58

Therefore, the probability that the student chosen at random was male OR got an "A" is 31/58.

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Answer:

2nd one is a

Step-by-step explanation:

The solution or the value of x = 14 (Option C). See the explanation below.

Where x (bar) is the mean.

x = (12 + 13 + 14 + 15 + 16)/5

= 14

Hence option C is correct.

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The probability of roll outcome:

1st 2 = 1/6

2nd prime = 1/2, and

3rd more than 4 = 1/3.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

In a fair die, considering the outcomes from the question:

probability of the 1st roll to be 2 = 1/6

probability of 2nd roll to be prime = 3/6

probability of 2nd roll to be prime = 1/2

probability of 3rd roll to be more than 4 = 2/6

probability of 3rd roll to be more than 4 = 1/3

Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.

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Answer:

0.09, 0.9, 0.91, 0.99

Step-by-step explanation:

Well I'm in 7th grade so I already know this stuff

If a is a zero of the polynomial P(x), then (x-a) must be a factor of P(x) and \((x-a)^m\) be a factor of P(x) when we factor P completely.

The values of x that fulfil the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.

The locations when a polynomial equals 0 overall are known as its zeros. In layman's terms, we may state that a polynomial's zeros are variable values at which the polynomial equals 0. The zeros of a polynomial are often referred to as the equation's roots and are frequently written as,, and. A few techniques for locating polynomial zeros include grouping, factoring, and employing algebraic expressions.

(a) if we have zero at x=a of polynomial P(x)

then,  (x-a)  must be factor of P(x).

(b) if we have zero at x=a of polynomial P(x)

with multiplicity=m

then,  \((x-a)^m\)  must be factor of P(x).

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Answer:

+4.5B+0.5B-1.5B+0.5‐0.5+0.5

The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

The graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.

If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.

In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

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A contradiction in the given clues and it is not possible to find a valid code with the given information.

The code to open the treasure chest can be determined using a few simple steps.
Firstly, we know that the last digit is half of 18, which is 9.

This means that the code ends with the number 9.
Next, we are given the information that the sum of the two middle digits is 10.

This tells us that the two middle digits must be 4 and 6, as they add up to 10.
Thirdly, we know that the third and fourth digits are the same.

Since we already know that the last digit is 9, this means that the third digit must also be 9.
Finally, we are told that the first digit is double the second digit.

Since we know that the second digit is 4, we can determine that the first digit must be 8.
Therefore, the code to open the treasure chest is 8469.

Mr Brainiac can now use this code to unlock the chest and discover the treasures inside.
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Answer:

Step-by-step explanation:

the cost is $111

Answer:

Step-by-step explanation:

You want to know the cost of each type of dinner when 12 steak dinners and 15 salmon dinners were sold for $599.82, and 26 steak dinners and 5 salmon dinners were sold for $582.96.

The two sales can be written as equations, where x is the cost of a steak dinner and y is the cost of a salmon dinner:

  12x +15y = 599.82

  26x +5y = 582.96

We can solve this system of equations by elimination. Subtracting the first equation from 3 times the second gives ...

  3(26x +5y) -(12x +15y) = 3(582.96) -(599.82)

  66x = 1149.06 . . . . simplify

  x = 17.41 . . . . . . . . . divide by 66

Substituting for x in the first equation, we have ...

  12(17.41) +15y = 599.82

  15y = 390.90 . . . . . . . . . subtract 208.92

  y = 26.06 . . . . . . . . . . . divide by 15

A ribeye steak dinner costs $17.41, and a grilled salmon dinner costs $26.06.

__

Additional comment

The problem statement here gives the second dinner value as $582.98. We believe that is a typo, as the resulting individual dinner costs do not come out to whole cents that way. That is why we have used the value $582.96 instead.

Answer:

\(\dfrac{5}{7}\)

Step-by-step explanation:

Given numbers are :

0.30 cm and 0.42 cm

We need to find the ratio of the above whole numbers.

Taking 0.3 cm on the numerator and 0.42 cm on the denominator. So,

\(\dfrac{0.3}{0.42}=\dfrac{\dfrac{3}{10}}{\dfrac{42}{100}}\\\\=\dfrac{3}{10}\times \dfrac{100}{42}\\\\=\dfrac{10\times 3}{42}\\\\=\dfrac{10}{14}\\\\=\dfrac{5}{7}\)

So, the required fraction is equal to \(\dfrac{5}{7}\).

Answer:

\(C = 2\pi r\\\)

Step-by-step explanation:

\(Circumference = 2\times \pi \times r\)