tony is conducting a science experiment with water and oil if he purchase 10ml of oil at a health food store that charges $3.00 for 100 milliliters how much will he pay

If Nicole had painted half of the wall yellow, then the other half was not painted yet. When the park director told her to paint the wall red, she painted over half of the wall, which means she painted half of the unpainted portion of the wall. Therefore, at the end of the day, the entire wall has 1/2 + 1/2 - 56/(2 x 2) = 3/4 of it painted red.

So the fraction of the entire wall that is painted red at the end of the day is 3/4.

The interquartile range of the stem and leaf plot is 6.

The table given is a stem and leaf plot. A stem and leaf plot is a table that divides a number into a stem and a leaf. The stem is the tens digit and the leaf is the unit digit.

The interquartile range is the difference between the third quartile and the first quartile.

Third quartile = 3/4(n + 1) = 61

First quartile = 1/4 x (n + 1) = 55

Interquartile range = 61 - 55 = 6

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Answer:

3n+2

Step-by-step explanation:

The standard form of this expression is equal to 10 + 20i.

Complex numbers are those numbers that contain the imaginary and the real part.

Complex value z is written in a rectangular form as; z = x+iy where (x, y) is the rectangular coordinates.

r is the modulus of the complex number and θ is the argument

r =√x²+y² and θ = tan⁻¹y/x

We are given that the expression as (1+7i)(3-i)

Solving it;

(1+7i)(3-i)

3 - i + 21i - 7i^2

3 - i + 21i + 7

10 + 20i

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After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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the answer is going to be 6.0

Step-by-step explanation:

1.5 + 1.5 = 3

3 + 3 = 6

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

Step-by-step explanation:

All you need to simplify most expressions is basic arithmetic -- addition, subtraction, multiplication, and division -- and the order of operations.

Answer:

Amanda borrowed $1875 from her parents and $4125 from the credit union

Step-by-step explanation:

The total amount of interest Amanda paid after one year is $285.

Let P be the amount Amanda borrowed from her parents, and C be the amount she borrowed from the credit union.

The total amount Amanda borrowed was P + C = $6000.

The total interest Amanda paid was 2% * P + 6% * C = $285.

We can set up the following system of equations to represent these relationships:

P + C = $6000

0.02P + 0.06C = $285

To solve for P and C, we can first solve for P in terms of C.

Substituting the first equation into the second equation, we get:

0.02(6000 - C) + 0.06C = $285

0.02(6000) - 0.02C + 0.06C = $285

120 - 0.02C + 0.06C = $285

-0.04C = $165

C = -$165/-0.04 = $4125

Substituting this value for C back into the first equation, we get:

P + $4125 = $6000

P = $6000 - $4125 = $1875

Therefore, Amanda borrowed $1875 from her parents and $4125 from the credit union.

Answer:

100.48

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = 3.14 ( 2)^2 * 8

V = 3.14 (4)(8)

V = 100.48

Answer:

18 m^2

Step-by-step explanation:

area = length * width

6m * 3m

18m2

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Answer:

i dont think you can simplify it any more

Step-by-step explanation:

The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

\(P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}\)

where, \(P_e(E)\) is denoting experimental probability of occurrence of E.

For this case, the table is missing, the results recorded were:

Toss         Spin        Frequency

Head          1                 2

Head          2                6

Head          3                7

Tail             1                 7

Tail             2                5

Tail             3                13

That means total number of times experiment was done was: 2+6+7+7+5+13=40

Let we take E = event of  tossing a tail and spinning a 2

Thus, from the table, we see that E occurred 5 times.

Thus, based on this, the experimental probability of occurrence of E is:

\(P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}\) (option H)

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The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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Answer:

A, B, and C.

Step-by-step explanation:

We have the equation:

\(4(x-3)=4x-12\)

Let’s distribute the left. This yields:

\(4x-12=4x-12\)

Let’s add 12 to both sides:

\(4x=4x\)

And subtract 4x from both sides:

\(0=0\)

We get the true statement 0=0.

Hence, A is correct.

Because it is a true statement, any input will yield an equivalent output.

Hence, B is also correct.

We also have the form a=a, where a is 0.

Hence, C is also correct.

Therefore, our correct answers are A, B, and C.

Answer:

It is a true statement.

Any input will result in an equivalent equation.

It is equivalent to an equation of the form a = a.

Step-by-step explanation:

I cannot draw here, but I can explain things.

x = number of hours grading.

we have 2 functions for the grading progress : one for Prof. Maynard, one for her TA.

Maynard(x) = 8x + 20

as she can grade 8 assignments per hour and has already finished 20.

TA(x) = 10x

now, the description says that they will be finished, when they have graded the same number of assignments.

so,

8x + 20 = 10x

20 = 2x

x = 20/2 = 10 hours

after 10 hours they will each have graded 10×10 = 100 (or 8×10 + 20 = 100) assignments.

you graph each line by finding 2 points. one e.g. for x = 0, and one for e.g. x = 10. you calculate the y value for each of these x values. at each (x, y) you mark the point. and then you just connect the 2 points for every line (and extend the line beyond the points).

the solution is the point, where both lines intersect.

Answer:

Both will have graded 100 assignments. This would take 10 hours.

Step-by-step explanation:

P1                                 P2

H1: 28                         10

H2: 36                        20

H3: 44                        30

H4: 52                        40

H5: 60                        50

H6: 68                        60

H7: 76                        70

H8: 84                       80

H9: 92                      90

H10: 100                   100

Answer:

a) 27
b) 19

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: \(V = \pi r^{2} h\)

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches (\(in^3\)).
You're given diameter, so use equation \(d/2 = r\) to find radius.
Substituting these equations will give you: \(V = \pi (d/2)^2 h\)
However, the given volume of the sink is 3000/3\(\pi\) or 1000\(\pi\), meaning that you should modify your results to match this value. Do not substitute \(\pi\) for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 \(\pi\)
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
\(Vsink / V cup =\) # of cups.
Note the the \(\pi\) will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Answer:

5=x

Step-by-step explanation:

Q=2(2x-5)=3x+x-2x

SOLUTION:

4x-10=4x-2x

-10=2x-4x

-10= -2x

(-+-=+ so 10 and 2 are positive now)

10/2=x

5=x

Answer:

C

Step-by-step explanation:

We already know the triangles are congruent because all of the sides of one triangle correspond directly with another. Then, this is a problem of correct labling. GTA goes from point G (top) to T (bottom) to A (left). If we rotate the triangle MEQ, it is laid out in the same way: point Q (top) to point M (bottom) to point E (left or right).

Our correct answer is GTA = QME

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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The maximum allowable recurring debt for someone with a  monthly income of $54.875 is $4.39.

Using this formula

Maximum allowable recurring debt=Ratio×Monthly income

Where:

Ratio=28/36

Monthly income=$54.875

Let plug in the formula

Maximum allowable recurring debt=(36%×$54.875)-(28%×$54.875)

Maximum allowable recurring debt=$19.755-$15.365

Maximum allowable recurring debt=$4.39

Inconclusion the maximum allowable recurring debt for someone with a  monthly income of $54.875 is $4.39.

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Answer:

a. 341.902.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is \(n\mu\) and the standard deviation is \(s = \sigma\sqrt{n}\)

60 days, for each day, mean 6, variance of 12.

So

\(\mu = 60*6 = 360\)

\(s = \sqrt{12}\sqrt{60} = 26.8328\)

What is the 25th percentile of her total wait time over the course of 60 days?

X when Z has a p-value of 0.25, so X when Z = -0.675.

\(Z = \frac{X - \mu}{s}\)

\(-0.675 = \frac{X - 360}{26.8328}\)

\(X - 360 = -0.675*26.8328\)

\(X = 341.902\)

Thus, the correct answer is given by option A.

The statement that is a good definition is D. Parallel lines are lines that do not intersect.

A type of quadrilateral with all sides being equal and all angles being 90 degrees is a square.

Lines that do not cross each other but have a constant perpendicular distance are known as parallel lines. Right angles and skew lines are perpendicular to one another but not parallel. Therefore, a square is a type of rectangle in which all four sides are parallel to one another.

Therefore, based on the information, the correct option is D

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Answer: D

Step-by-step explanation:

Answer:

dont we all

Step-by-step explanation:

did u figure it out by now? comment down

Step-by-step explanation:

Here using the correct order of operations that is PEMDAS, we get the value to be 13.

PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.

The letters stand for:

P stands for parentheses.

Exponents are shown as E.

D stands for division.

The letter M stands for multiplication.

A stand for addition.

S stands for subtraction.

Now in the given question,

15 - (4-3)2

First the parentheses

15 - (1)2

Next is exponents.

15 - 2

At last, after subtracting, we get:

13

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Answer:

24 : 15 : 20

Step-by-step explanation:

express ratios in fractional form and express b and c in terms of a

\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )

8b = 5a ( divide both sides by 8 )

b = \(\frac{5}{8}\) a

also

\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )

3c = 4b ( divide both sides by 3 )

c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a

Then

a : b : c

= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )

= 24a : 15a : 20a ( divide each part by a )

= 24 : 15 : 20 ← in simplest form

Answer:p + n = 175

1p + 5n = 475

------------------ Subtract

Step-by-step explanation:

when the piggy bank was opened, it yielded $4.75 in nickels and pennies. If there were 175 coins in all, how many were nickels and how many were pennies?