A prairie dog left its burrow 5 feet underground and started digging deeper into the ground. It digs straight down at a constant rate of 2
feet per minute.
How long does it take the prairie dog to reach 13 feet underground?
Enter your answer in the box
min

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The amount that the taxpayer is owing in taxes is $2,691.05.

We have,

Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.

Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.

The tax payable will equals to:

= 15%*$11,757 + $927.50

= $1,763.55 + $927.50

= $2,691.05

Hence, The amount that the taxpayer is owing in taxes is $2,691.05.

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complete question:

Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?

Answer:

$22.50

Step-by-step explanation:

So if each topping cost 2.50 then just multiply by 9

The HCF of 560 and 729 is 1.

To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.

Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.

Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.

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Answer:

45

Step-by-step explanation:

Answer: 60 kilometers

Step-by-step explanation:

Plug in your hours:

y = 15(3) + 15

y = 45 + 15

y = 60 kilometers

Hope this helps!

Answer:

c

Step-by-step explanation:

Anwser would be -1

Hope this helps

answer

symbolic materials ?

Solution to the questions are: (1) 3.95      

                                                  (2)19.92      

                                                  (3) 5.45

                                                  (4) 42.18

                                                  (5) 21.77  

                                                  (6) 57.84

What is Simplify?

Simplify in mathematics is a simple way of bringing down a problem, fraction or word expression into an easier from

1. ( 1.8 + 3.44 ) x 0.75

Simplify the equation using

=(5.24) x 0.75

=3.95

2. (8.29 - 0.32) ÷ 0.4

Rewrite the equation and simplify

=\(\frac{8.29 -0.32}{0.4}\)

=\(\frac{7.97}{0.4}\)

=19.92

3. 7.58 (1.5 x 0.24) ÷ 0.5

Rewrite the equation and simplify

=\(\frac{7.58(1.5 * 0.24) }{0.5}\)

= \(\frac{7.58 (0.36)}{0.5}\)

= \(\frac{2.728}{0.5}\)

= 5.45

4. (16.45-5.05) x (2.46 + 1.24)

Simplify the equation

=(11.4)x (3.7)

=42.18

5. (7.1 x 2.3) ÷ (1.25 x 0.6)

Rewrite the equation and simplify

= \(\frac{7.1 * 2.3}{1.25 * 0.6}\)

= \(\frac{16.33}{0.75}\)

= 21.77

6. (4.19 + 6.8) ÷ (0.34-0.15)

Rewrite the equation and simplify

= \(\frac{4.19 + 6.8 }{0.34 - 0.15}\)

= \(\frac{10.99}{0.19}\)

= 57.84

Therefore, the solution to the equations are ;(1) 3.95      

                                                  (2)19.92      

                                                  (3) 5.45

                                                  (4) 42.18

                                                  (5) 21.77  

                                                  (6) 57.84

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The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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Answer:2.7 - 1.50 = 1.2(2-1)

Answer:

129.6 is the answer

Step-by-step explanation:

Answer: j-7

Step-by-step explanation:

So Jayson is J

Angelo is 7 years younger than him so j-7

Answer:

1 Monique has three sons who play football, two sons who 2 The accompanying diagram shows the results of a survey asking which sports the members of the Key 6 In Ms. Wright's English class, 16 students are in band ... are shown in the Venn diagram below. 11 A school district offers hockey and basketball. The

Step-by-step explanation:

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

1. parallel lines 2(c) . perpendicular lines intersect(D)  3. skew lines(A)  4. parallel planes (B) and 5. line perpendicular to a plane(E) these are the key word.

The key words with their definitions are:

1. Parallel lines (C): Two lines that lie in the same plane and do not intersect.

2. Perpendicular lines (D): Two lines that intersect to form a right angle.

3. Skew lines (A): Two lines that do not lie in the same plane and do not intersect.

4. Parallel planes (B): Two planes that do not intersect.

5. Line perpendicular to a plane (E): A line that intersects a plane in a point, and is perpendicular to every line in the

plane that intersects it.

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Polling companies survey 1060 individuals to estimate a population proportion with a margin of error of 3% with 95% confidence because it strikes a balance between cost and accuracy, and it is based on statistical calculations that aim to achieve a reasonable level of precision while minimizing the margin of error.

When a polling company selects a sample size of 1060 individuals, it is based on statistical calculations that aim to achieve a 3% margin of error with 95% confidence. The sample size needs to be large enough to reduce the margin of error and increase the level of confidence in the results.

The margin of error decreases as the sample size increases, and it is inversely proportional to the square root of the sample size. Therefore, a larger sample size leads to a smaller margin of error. However, increasing the sample size also increases the cost and time required to conduct the survey.

Polling companies aim to strike a balance between the cost and the desired level of accuracy, which is typically a margin of error of 3-5% with 95% confidence. A sample size of 1060 individuals is often considered a reasonable compromise between cost and accuracy, as it provides a small enough margin of error to be useful while being feasible to conduct within a reasonable time and budget.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The inverse function of f(x) is:

\(f^-1(x) = 4(x + 12)\)

The graph that shows a set of ordered pairs that represent a function is the first one:

On a coordinate plane, solid circles appear at the following points: (negative 2, 3), (negative 1, 2), (1, 1), (2, negative 1), (2, negative 3), (4, negative 5).

To determine if a set of ordered pairs represents a function, we need to check if each input value (x) is associated with only one output value (y). In the first graph, for each x-value, there is only one corresponding y-value, so it is a function.

As for the second question, to find the inverse of the function f(x) = 1/4x – 12, we first need to replace f(x) with y:

y = 1/4x – 12

Next, we swap the x and y variables and solve for y:

x = 1/4y – 12

x + 12 = 1/4y

4(x + 12) = y.

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The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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Using a system of equations, the height of the tree would be 12.80 meters.

Equating the height and shadows of the tree and pole :

Height of pole / shadow of pole = height of tree / shadow of tree

Representing the equation thus :

Let the height of the tree = h

3/4 = h/17

Cross multiply

4h = 17 × 3

4h = 51

Divide both sides by 4

h = 51/4

h = 12.75.

Hence, the height of the tree to the nearest tenth of a meter is 12.80 meters.

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Answer:

Step-by-step explanat

5.15=515/100

0.24=24/100

515/24=21.45

Answer:

see explanation

Step-by-step explanation:

(1)

Using the relationship

distance (d) = speed (s) × time (t)

The freight train leaves the station 1 hour earlier than the passenger train, so

d = 40(t + 1) ← Freight train

d = 50t ← Passenger train

We require to find when they are at the same distance from the station, then equating the 2 equations

50t = 40(t + 1) ← distribute

50t = 40t + 40 ( subtract 40t from both sides )

10t = 40 ( divide both sides by 10 )

t = 4

The passenger train will overtake the freight train after 4 hours

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

(2)

let l represent length, then width = l - 32

perimeter (P) = 2l + 2w = 290, that is

2l + 2(l - 32) = 290 ← distribute and simplify left side

2l + 2l - 64 = 290

4l - 64 = 290 ( add 64 to both sides )

4l = 354 ( divide both sides by 4 )

l = 88.5 and w = 88.5 - 32 = 56.5

Then dimensions are 88.5 yards by 56.5 yards

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

(3)

Plan A : 100 + 15n

Plan B : 25n

When is Plan A better than Plan B , that is

100 + 15n > 25n ( subtract 25n from both sides )

100 - 10n > 0 ( subtract 100 from both sides )

- 10n > - 100

Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.

n < 10

Plan A is better when number of hours (n) is less than 10

Answer:

3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?

Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.

The units-of-activity method is one of the depreciation methods in use.

Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.

The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.

Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)

Expected total miles for Bus #3 = 125,000

Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)

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Bus    Acquired    Cost    Salvage    Useful Life     Depreciation
                                          Value         in Years          Method

1          1/1/12      $99,100   $7,900           4             Straight-line

2         1/1/12      128,000     11,000          4             Declining- balance

3         1/1/13       66,350      8,800          5             Unit-of-activity

The value of y is 48.

To find the value of y in this scenario, we need to use the fact that the angle bisector of ∠JSL splits it into two congruent angles.

Let's denote one of these congruent angles as ∠HSL and the other as ∠LSJ. Since ∠JSL is bisected, we have:

m∠JSL = m∠HSL + m∠LSJ

Given that m∠JSL = (4y - 10)° and m∠HSL = m∠LSJ = ∠HSJ = (y + 43)°, we can substitute these values into the equation:

4y - 10 = (y + 43) + (y + 43)

Simplifying the equation:

4y - 10 = 2y + 86

Subtracting 2y from both sides:

2y - 10 = 86

Adding 10 to both sides:

2y = 96

Dividing both sides by 2:

y = 48

Therefore, the value of y is 48.

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Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°

When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.

The formula would therefore be:

C = -39 + 12

Making the Buffalo temperature the subject gives;

C - 12 = -39

The coldest temperature in Chicago is:

= -39 + 12

= -27°F

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If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.

A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.

Given that,

In general, 70 % of the values in a data set lie at or below the 70th percentile.

20 % of the values in a data set lie at or above the 20th percentile.

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of  600 which is mathematically represented as:

K = \(\frac{86}{100}\) × 600

K = 516 test scores

Given a sample of 600 test scores , the number number of test scores that will be above  the 62 th percentile is (100 - 62 = 38 )% of  600 which is mathematically represented as:

a = \(\frac{38}{100}\) × 600

a = 228 test scores.

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Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

<95141404393>

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

try to add the all up then divide by 3