a radioactive substance decays exponentially. a scientist begins with 180 milligrams of a radioactive substance. after 33 hours, 90 mg of the substance remains. how many milligrams will remain after 43 hours?

Answer:

Step-by-step explanation:

50% Syrup will have equal amount of sugar and water (50x50)

So required amount of water is also 0.5 lbs

Answer:

0.5 aka 0.50

Step-by-step explanation:

sugar = 0.5

water = 0.5

100 % = 1.0

0.5 + 0.5 = 1.0

Answer:

21:20

Step-by-step explanation:

Since there are 20 cars with sunroof

Subtract 20 from 41

and you get 21 which are the cars with no sunroof

making it 21:20

Answer: 21 : 20

Step-by-step explanation: Since the factory made 41 cars and 20 of them had a sunroof that means x = 41 -20. So 41 - 20 = 21 cars without sunroof. They ask to put the ratio with cars without sunroof first then cars with a sunroof so it would be 21 : 20.

(x = cars without sunroof)

Approximately 21.42% of the plants were above 8 inches in height. Approximately 38.20% of the plants were between 6 and 9 inches. The z-score of a 7-inch plant is -1.2. The height associated with the 67th percentile is 11.1 inches.



A) To find the percentage of plants above 8 inches in height, we calculate the z-score for a raw score of 8 using the formula z = (x - μ) / σ. Plugging in the values, we get z = (8 - 10) / 2.5 = -0.8. Using a standard normal distribution table or calculator, we find that the corresponding percentage is approximately 21.42%.

B) To determine the percentage of plants between 6 and 9 inches in height, we calculate the z-scores for raw scores of 6 and 9. The z-score for 6 is (6 - 10) / 2.5 = -1.6, and the z-score for 9 is (9 - 10) / 2.5 = -0.4. By finding the area under the standard normal distribution curve between these z-scores, we discover that the percentage is approximately 38.20%.

C) The z-score for a plant that is 7 inches tall can be calculated using the formula z = (x - μ) / σ. Plugging in the values, we find z = (7 - 10) / 2.5 = -1.2.

D) To find the height (raw score) associated with the 67th percentile, we first determine the z-score corresponding to this percentile. Using a standard normal distribution table or calculator, we find that the z-score is approximately 0.44. We then convert this z-score back to a raw score using the formula x = z * σ + μ, which yields x = 0.44 * 2.5 + 10 = 11.1 inches.

In summary, the percentage of plants above 8 inches is approximately 21.42%. The percentage of plants between 6 and 9 inches is approximately 38.20%. The z-score of a plant that is 7 inches tall is -1.2. The height associated with the 67th percentile is approximately 11.1 inches.

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In circle B, we are given that angle DBF measures 75 degrees and angle FCB measures 60 degrees. Additionally, we know that DE and AC are diameters of the circle.

We need to determine more specific information or solve a particular problem related to this configuration.  The given information provides the measures of two angles within circle B, but it does not specify the relationship between these angles or their positions relative to other elements in the circle. Without additional details or a specific problem to solve, it is challenging to provide a more specific explanation or answer.

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The president recommends legislation to Congress shows how branches of government interact with each other. The correct answer is C.

The interaction between the executive and legislative branches of government is essential in the process of making laws in the United States. The president has the power to recommend legislation to Congress, but Congress ultimately decides whether or not to pass the bill into law.

This interaction is an example of the system of checks and balances in the US government, which ensures that no one branch becomes too powerful.

Option A is an example of the judicial branch acting alone, as the Supreme Court has the power to interpret the law and make decisions on cases. Option B is an example of the legislative branch acting alone, as the House of Representatives has the power to draft and pass bills into law.

Option D is an example of the president acting alone in foreign affairs, as the president has the power to negotiate and sign treaties with foreign countries. While these actions may have an impact on the other branches, they do not represent an example of direct interaction between branches.

The correct answer is C.

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We need to draw all sides of the triangle equal in order to make a SSS triangle because we know that the SSS triangle has all 3 sides equal.

Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size.

We u can move, flip, twist, and turn these triangles to produce the same effect.

When relocated, they are parallel to one another.

Two triangles are deemed similar by the SSS test for triangle resemblance if their third sides are proportionate to one another.

Therefore, we need to draw all sides of the triangle equal in order to make a SSS triangle because we know that the SSS triangle has all 3 sides equal.

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The volume of the solid generated by rotating the region between y = x^3, y = 8, and x = 0 about the axis x = 7 needs to be determined using the method of cylindrical shells.

To find the volume using the method of cylindrical shells, we consider infinitesimally thin cylindrical shells with radius x - 7 (distance from the axis of rotation) and height dx (infinitesimal width along the x-axis).

The volume of each shell is given by the formula V_shell = 2π(x - 7)(f(x))dx, where f(x) represents the difference between the upper and lower curves (y = 8 - y = x^3).

To find the total volume, we integrate the volume of the shells over the range where the curves intersect: from x = 0 to x = 2.

Setting up the integral, we have V = ∫[0,2] 2π(x - 7)(8 - x^3)dx.

Evaluating the integral yields the volume V = 210 units cubed.

Therefore, the volume of the solid generated by rotating the given region about the axis x = 7 is 210 units cubed.


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Answer:

186 degrees Fahrenheit

Step-by-step explanation:

If you get rid of the - in -50 than it is 50 and 50+136=186

Answer:

186 Fahrenheit

Step-by-step explanation:

Difference= steam point-ice point

                 =136-(-50)

                =136+50

               =186F

Answer:

27 dollars

Step-by-step explanation:

Basically it's just 3 x 5 + 12 or if ya want it broken down, 15 + 12

Answer:

Well the answer is either $27 or 22

If he's buying the $12 then the 3 $5 ones then its 27.

If he's just buying the $12 one then 2 $5 ones then its 22.

Hope this helps please mark brainliest!

Step-by-step explanation:

12+5+5+5=27

12+5+5=22

Answer:

It makes sense that the solution is also what is listed because they added up how many bananas were purchased and how many grapes were purchased.  Then they totalled how much each person spent.

Step-by-step explanation:

The line was reflected about the line y = -x.

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

This question is solved using reflection concepts.

There are various kinds of reflections, 90º clockwise about the origin, 90º counterclockwise, among other, and each of them has a rule.

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

In this question:

From this, we have the following rule: (x,y) -> (-y,-x)

Checking the rules, it can be said that the line was reflected about the line y = -x.

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The area of the kitchen floor can be calculated using the formula: Area = Length x Width. Given that the floor measures 3m wide and 5m long, Area = 3m × 5mArea = 15 m²

The area of each tile is calculated as follows: Area of each tile = Length of tile x Width of tile. Each tile measures 20cm x 20cm which is equal to 0.2m x 0.2m = 0.04 m²Therefore, the total number of tiles needed can be calculated by dividing the area of the kitchen floor by the area of each tile.

Number of tiles needed = Total area of kitchen floor/Area of each tile = 15m²/0.04m² = 375Therefore, Mrs. Jones will need 375 tiles to tile her kitchen floor.

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The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

The statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the mean absolute deviation (MAD).

The MAD measures the dispersion or spread of the data points around the mean. It is calculated by taking the absolute value of the differences between each data point and the mean, summing these absolute differences, and dividing by the number of data points.

Unlike the standard deviation, the MAD does not square the differences, making it easier to interpret. The MAD provides a measure of the variability of the data and is useful in comparing the spread of different data sets.

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Answer:

its the first one

Step-by-step explanation:

Answer:

Yes it is absolutely right.

The Formula for finding C.P., when

S.P. = Rs. 500    and Loss% = 20%   is:

CP = ( SP * 100 ) / ( 100 – percentage loss )

Putting values in the formula we get,

CP = ( 500*100) / (100 - 20)

Ans = Rs 625.

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The cost price is Rs. 625.

Cost price = 100 × selling price/100 - loss%

CP = 100 × 500/100-20

     = 100 × 500/80

     = 5000/8 = 625

Thus, the cost price is Rs.625.

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The distance between the two vertices that the triangles do not have in common is 6√7 units.

To find the distance between the two vertices that the triangles do not have in common:

So, the vertex  at the top right of the figure has the coordinates as,

(12, √108).

And the distance between this vertex  and  (0, 0) is as follows:

Therefore, the distance between the two vertices that the triangles do not have in common is 6√7 units.

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The correct question is given below:

A 30-60-90 triangle is drawn on the exterior of an equilateral triangle so the hypotenuse of the right triangle is one side of the equilateral triangle. If the shorter leg of the right triangle is 6 units, what is the distance between the two vertices that the triangles do not have in common? Express your answer in the simplest radical form.

Answer:

36 is 30% of 120

Step-by-step explanation:

\(36=0.30x\\\\x=\frac{36}{0.30}=120\)

Answer:

The simplest form of \(\frac{14a^2}{24a}\)  is \(\mathbf{\frac{7a}{12}}\)

Step-by-step explanation:

We need to write \(\frac{14a^2}{24a}\) in simplest form.

We know the exponent rule: \(\frac{a^m}{a^n}=a^{m-n}\)

Applying the rule:

\(\frac{14a^2}{24a} \\=\frac{14a^{2-1}}{24}\\Since \ 14 \ and \ 24 \ are \ divisible\ by \ 2 \\=\frac{7a^1}{12} \\=\frac{7a}{12}\)

The simplest form of \(\frac{14a^2}{24a}\)  is \(\mathbf{\frac{7a}{12}}\)

A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.

A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.

A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.

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A kilometer is a metric unit of measurement equal to 1,000 meters 

to maximize the profit function, 14 vats of ice cream need to be sold.

the price to charge per vat to maximize profit is $45.

To find the profit function, we subtract the cost function from the price-demand function:

Profit function, P(x) = Revenue - Cost

P(x) = (Price per unit * Number of units sold) - Cost

P(x) = (87x - 3x^2) - (3x + 8)

Simplifying, we get:

P(x) = -3x^2 + 84x - 8

To maximize the profit function, we differentiate it with respect to x and equate it to zero:

dP(x)/dx = -6x + 84

Setting -6x + 84 = 0 and solving for x, we find:

x = 14

Therefore, to maximize the profit function, 14 vats of ice cream need to be sold.

Substituting x = 14 back into the profit function, we find the maximum profit:

P(14) = -3(14)^2 + 84(14) - 8

P(14) = 1344

The maximum profit that can be obtained is $1344.

To find the price to charge per vat to maximize profit, we substitute x = 14 into the price-demand function:

p(14) = 87 - 3(14)

Simplifying, we get:

p(14) = 45

Therefore, the price to charge per vat to maximize profit is $45.

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Answer:

25mL

Step-by-step explanation:

15/6=2.5ml/oz

10x2.5=25mL

The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.

The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.

The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.

For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.

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The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

Given that,

There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

Here, at each vertex there are two angles.

So, there must be 5 vertices and 5 sides.

Then, the measure of one exterior angle = 360°/5

= 72°

Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.

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"Your question is incomplete, probably the complete question/missing part is:"

Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.

The measurements associated with student life are categorized as follows: length of time to complete an exam is a ratio, time of first class is an interval, major field of study is nominal, course evaluation scale is ordinal, score on last exam is a ratio, and age of student is a ratio.

(a) Length of time to complete an exam - Ratio: This is measured on a scale of time, and can be expressed as a ratio (i.e. the amount of time spent on the exam divided by the total time allotted for the exam).

(b) Time of first class - Interval: The time of the first class is measured on a scale of minutes, hours, and days, and can be expressed as an interval (i.e. the amount of time between two classes).

(c) Major field of study - Nominal: This is a categorical measurement and can be expressed as a nominal variable (i.e. the student's major field of study is either engineering, business, etc).

(d) Course evaluation scale: poor, acceptable, good - Ordinal: This is a scale of quality and can be expressed as an ordinal variable (i.e. the quality of the course can be rated as poor, acceptable, or good).

(e) Score on last exam (based on 100 possible points) - Ratio: This is measured on a scale of points, and can be expressed as a ratio (i.e. the student's score on the exam divided by the total number of points possible).

(f) Age of student - Ratio: This is measured on a scale of years, and can be expressed as a ratio (i.e. the student's age divided by the total number of years they have been alive).

The measurements associated with student life are categorized as follows: length of time to complete an exam is a ratio, time of first class is an interval, major field of study is nominal, course evaluation scale is ordinal, score on last exam is a ratio, and age of student is a ratio.

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Step-by-step explanation:

6m+5-3m=7(m-1)

3m+5=7m-1

5+1=7m-3m

6=4m

6/4=m

3/2=m

I think it is correct .

Answer:

Q7: -4 ; Q8: 2.6x + 8

Step-by-step explanation:

For the first one, since they are like terms, you can just normally subtract:

3x - 7x = -4x

Its a negative since 3 - 7 = -4 not positive 4.

You did question 8 correctly.