Find s in the parallelogram

Given that the growth rate of the population is 20% .

Since the population starts at 320, the population an hour later will be:

This means that after an hour, the population will be 384

Answer: 4.5

Step-by-step explanation:

Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.

The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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The theoretical probability of exactly 4 students from your school being selected as contestants out of 10 possible contestant spots is approximately 0.009.

Assuming that each member of the audience has an equal chance of being selected as a contestant, the total number of possible ways to select 10 contestants from the audience is:

\(150 $ choose 10 = 150! / (10! \times (150 - 10)!) = 2,535,316,699,000\)

To calculate the probability of exactly 4 students from your school being selected as contestants, we need to count the number of ways this can happen and divide it by the total number of possible outcomes.

There are 30 students from your school and 120 students from other schools in the audience.

We need to choose 4 students from your school and 6 students from other schools for the contestant spots.

The number of ways to do this is:

\(30 $ choose 4 \times 120 $ choose 6 = (30! / (4! \times 26!)) \times (120! / (6! \times 114!)) = 23,400,140,040,000\)

Therefore, the probability of exactly 4 students from your school being selected as contestants is:

P(4 students selected) = (number of ways to select 4 students from your school and 6 students from other schools) / (total number of ways to select 10 contestants from the audience)

P(4 students selected) = 23,400,140,040,000 / 2,535,316,699,000.

P(4 students selected) ≈ 0.00923 (rounded to 3 decimal places).

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The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

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The height of Jim's house is needed.

The height of Jim's house is 5.8 m.

Jim's office building is 19 times the height of his house.

The height of the office building is 110.3 m

Let \(o\) be height of office

\(h\) be height of house

So,

\(o=19h\\\Rightarrow h=\dfrac{o}{19}\\\Rightarrow h=\dfrac{110.3}{19}\\\Rightarrow h=5.8\ \text{m}\)

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Answer:

A

Step-by-step explanation:

\( \frac{4x - 3}{7} \)

Replace y with x.

\(x = \frac{4y - 3}{7} \)

Solve for y.

\(7x = 4y - 3\)

\({7x + 3}{} =4 y\)

\( \frac{7x + 3}{4} = y\)

Answer:

109.6

Step-by-step explanation:

100+100×(4.8%×2)=100+ 100×9.6%=100+9.6=109.6

Answer:

The money account after two years will be 110.054

Step-by-step explanation:

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

A = final amount = required to know

P = initial principal balance = $100

r = interest rate = 4.8%=4.8/100 because compounded monthly

n = number of times interest applied per time period = 12

t = number of time periods elapsed = 2

\(A = P(1 + \frac{4.8}{1200})^{24}\)

\(A= 100(1+0.004)^{24}\)

A=   \(110.054\)

Thus, The money account after two years will be 110.054

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The Side-Angle-Side rule is the foundation for this query. The correct response is therefore option A, since ABC=DEF cannot be inferred from the additional statement that AB=EF.

According to this rule, the corresponding two angles of one triangle are congruent with the two angles of the other triangle. The side-angle-side postulate is the only congruence rule that can be applied as a result.

Here,

A=D and C=F in triangle ABC and triangle DEF.

We must choose a statement that prevents you from deducing that triangle ABC = triangle DEF.

The correct response is therefore option A, since ABC=DEF cannot be inferred from the additional statement that AB=EF.

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To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

0.

Step-by-step explanation:

The slope of the line is defined as the change of elevation of the line (\(\frac{rise}{run}\)).

In this case, there is no change in the slope as the line continues across (0 , 2), meaning that the slope of the line is 0.

If the slope of the line is 1, then the line will have (rise 1/run 1), meaning that it will have a linear slope. (See attached image).

Vertical lines have infinite slope, and so can also be called undefined as it moves neither left or right, giving it no run.

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Answer:

The answer is f^-1(x)=0^3\(\sqrt{x}\)+2

Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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The equivalent expression will be;

⇒ - 19 / 12t  - 2 / 9

⇒ Negative 19 over 12 times t minus 2 over 9

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''The quantity negative 7 over 6 times t plus 4 over 9 end quantity minus expression quantity negative 5 over 12 times t plus 2 over 3 end quantity''

Now,

Write the algebraic expression in mathematical form as;

⇒ {- 7 / 6t + 4/9} - {5 / 12t + 2 / 3}

Solve the expression as;

⇒ {- 7 / 6t + 4/9} - {5/12t + 2/3}

⇒ - 7 / 6t + 4/9 - 5/12t - 2/3

⇒ - 7 / 6t - 5/12t - 2/3 + 4/9

⇒ (-14 - 5) / 12t + (4 - 6) / 9

⇒ - 19 / 12t  - 2 / 9

Thus, The equivalent expression will be;

⇒ - 19 / 12t  - 2 / 9

⇒ Negative 19 over 12 times t minus 2 over 9

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One way Olivia might have moved ABCDE onto A"B"C"D"E" is by first reflecting ABCDE over the x-axis, and then translating it 4 units to the left and 6 units down.

1) This would map point A to A", B to B", C to C", D to D", and E to E", creating A"B"C"D"E".

2) Angelica's transformation does not result in a figure that matches A"B"C"D"E". Reflecting ABCDE over the y-axis would map point A to A", B to E", C to D", D to C", and E to B", so the shape would be flipped horizontally. Translating it up 8 units would then shift the shape up, but it would still be horizontally flipped, so it would not match A"B"C"D"E".

3) Michael's claim is not correct. Translating ABCDE diagonally 8 units up and 10 units right would move point A to point J, which is not on A"B"C"D"E". The other points would also not be in their correct positions, so the resulting shape would not match A"B"C"D"E". To get to A"B"C"D"E" with one transformation, Michael would need to use a combination of translation, rotation, and/or reflection.

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Answer:

1.5 miles

Step-by-step explanation:

There are 1760 yards in 1 mile, take 1760*3.5 to get the total yards in 3.5 miles. It’s =6,160. Take 6,160-3,520 and you get 2,640. Take 2,650/1760 to get 1.5 miles remaining.

1.5 miles is the value of  \(3\frac{1}{2}\) miles - 3,520 yards.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that 1 yard=0.000568 miles.

We need to convert 3520 yards to miles

3250 yards=3250(0.000568)miles

=1.846miles=2 miles

\(3\frac{1}{2}\) miles - 3,520 yards

Convert  \(3\frac{1}{2}\)  to improper fraction

7/2 miles-2 miles

3.5 miles - 2 miles

1.5 miles

Hence, 1.5 miles is the value of  \(3\frac{1}{2}\) miles - 3,520 yards.

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hope this sheet helps :)

Answer:

It would bounce at 78 centimeters height

Step-by-step explanation:

Answer:

Solution: an Experimenter whats to estimate the average water consumption per family in the city

if individual families are used as the sampling united, a frame could be using censes data or atelephone book

if dwelling are used as the sampli units, aframe could be using Address book or city directory

If city blocks are used as the sampling units, aframe could been using is city directory

Step-by-step explanation:

Answer:

1/2 x 3/4 = 1/8

Step-by-step explanation:

if you make a box

cut it into half

shade in 1/2

cut it into fourths

shade in one because it's only 1/2

count up all the boxes

count how many have both shaded in

and you get 1/8

Answer:

2.5

Step-by-step explanation:

I took the test :)

Given,

\(h(x) = {6x}^{2} + {4x}^{4} + 7x\)

\(g( x) = {6x}^{2} - 4x + {3x}^{4} \)

Therefore,

\(h(x) + g(x)\)

\(( {6x}^{2} + {4x}^{4} + 7x) + ({6x}^{2} - 4x + {3x}^{4})\)

\( {6x}^{2} + {4x}^{4} + 7x + {6x}^{2} - 4x + {3x}^{4}\)

\((4 {x}^{4} + 3 {x}^{4} ) + ( {6x}^{2} + {6x}^{2} ) + (7x - 4x)\)

\( {7x}^{4} + {12x}^{2} + 3x\)

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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2 3/4-(-1 1/2)=

2 3/4 + 1 1/2=

(2+1) (3/4 + 1/2)=

3 + 5/4=

3 + 1 1/4=

4 + 1/4=

4 1/4 or 17/4 or 4.25

Answer:

each friend will receive 2 oatmeal bars and their will be 2 leftover.

Step-by-step explanation:

Answer:

y=50

Step-by-step explanation:

look at photo attached

Answer:

y=50

Step-by-step explanation:

on edge2021

Answer:

The answer is 31

Step-by-step explanation:

ZTB= 31

The measure of angle ∠ZTB of triangle SRT is 31°.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

Let S R T be a triangle, and point Z is the in center of triangle S R T.

Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C as shown in the below figure.

Here, ∠ AZR = 35°, ∠ZRC = 35°, ∠ BSZ = 24°, ∠ZSA = 24°, ∠ZTB = ?

The in center of a triangle is the intersection point of all the three interior angle bisectors of the triangle. It can be defined as the point where the internal angle bisectors of the triangle cross.

According to the angle bisector theorem,

⇒ \(\angle ZRC = \angle ARZ\)

⇒ \(\angle ARZ = 35\degree\)

Let the unknown angle, ∠ZTB be x. Then ∠BTC = 2x

The sum of the interior angles of a triangle is equal to 180°,

So, \(24+24+35+35+2x=180\)

⇒ \(118+2x=180\)

⇒ \(2x=180-118\)

⇒ \(x=\frac{62}{2}\)

⇒ \(x=31\)

Hence we can conclude that the measure of angle ∠ZTB of triangle SRT is 31°.

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The points with possible solution to the system is (0, -1)

From the points;

(0, -1) represents (x, y)

x = 0

y= -1

y ⩽ 3x − 1

-1 ⩽ 3(0) - 1

-1 ⩽ -1

y ⩾ x− 1

-1 ⩾ 0 - 1

-1 ⩾ -1