How many steps is in 3 minutes

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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Check the picture below.

Answer:

A-with tax) $181.20

B-total cost) $205.20

Step-by-step explanation:

A)

160x13.25% = 21.20

160+21.20 = 181.20

B)

160x15% = 24

160+24 = 184

184+21.20 = $205.20

Answer:

205.20

Step-by-step explanation:

Hope Dis Helps! :)

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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The farm produces 400,000 eggs and its tolerance is 35,000 eggs. It means that the production will be 35,000 more or less than the ideal production which is 400,000

The maximum will be :

400,000 + 35,000 = 435,000 eggs

and the minimum will be :

400,000 - 35,000 = 365,000 eggs

Answer:

To make it easier to display the answer, the answers are in the picture attached below!

I'm doing good this morning!

Answer:

y= 3/5x+5

Step-by-step explanation:

The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5

Answer:

1- 7cm × 7 cm - 49 cm squ.

13cm × 13 cm -169. cm square

19×19-361 cm square

The area of the shape 1 is 49 square cm, area of the shape 2 is 169 square cm and area of the shape 3 is 361 square cm.

We have to find the area of the shapes

(1) who's all dimensions are 7 cm.

(2) who's all dimensions are 13 cm.

(3) whose dimensions are 19 cm.

All the shapes will form a square because their both sides are equal.

We know the area of the square is "a x a" where 'a' is the side of the square.

Thus, the area for 1st figure is

a x a = 7 x 7

area = 49 square cm.

Area for the 2nd figure is

a x a = 13 x 13

area = 169 square cm.

Similarly, the area of 3rd figure is:

a x a = 19 x 19

area = 361 square cm.

Hence, the area of all the given shapes are 49square cm, 169 square cm and 361 square cm.

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Answer:

66.67

Step-by-step explanation:

So if 69 is 100 percentage then we need to know; x. so x% is 46 then you turn that information into this equation.  100%/x%=69/49 so then you can solve that x is 66.67. So It is 66.67%

Solution

Given series is \($5+11+17+\ldots .+95$.\)

Thus,

\($\mathrm{a}=5, \mathrm{~d}=11-5=6,1=95$$$\begin{aligned}& \mathrm{n}=\frac{1-a}{d}+1 \\& =\frac{95-5}{6}+1 \\& =\frac{90}{6}+1=15+1=16\end{aligned}\)

Therefore, \($\mathrm{S}_{\mathrm{n}}=\frac{\mathrm{n}}{2}(\mathrm{a}+1)$$$\begin{aligned}& =\frac{16}{2}(5+95) \\& =8(100) \\& =800\end{aligned}$$\)

What is arithmetic series?

The total of the terms in an arithmetic sequence with a predetermined number of terms is known as an arithmetic series. Here is a straightforward formula for calculating the sum: Formula 1: If the sum of an arithmetic series of terms is represented by S n, then The first and last terms' values, as well as the total number of terms, are needed for this formula.

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Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Answer:

\(C)\) \(1/32 ~yd^3\)

Step-by-step explanation:

\(l*b*h\)

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

hope it helps...

have a great day!!

Answer:

tan= 4

Step-by-step explanation:

This is actually very easy, basically u have 5 - 9.

So you have positive nine and a negative sign, which is used for subtraction, so in the integers rule, positive- negative= negative

so its 4.

I HOPE ITS RIGHT, IM 11

If tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.

Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle. The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

It discusses how triangle side lengths and angles relate to one another. Using trigonometric formulas and functions, it is mostly used to determine the unknown side lengths and angles of a right-angled triangle. Six different functions are frequently employed in trigonometry.

It is given that tan(A)=5 and tan(B)=9

As we know,

\(\rm tan(A -B) = \frac{tan A - tan B}{1- tan A tan B}\)

Substitute the given values we get,

tan(A -B) = (tan A - tan B)/(1 + tan A tan B)

tan(A -B)  = (5-9) / (1 + 5 × 9)

tan(A -B) = (-4) / (1 + 45)

tan(A -B) = -4 / 46

tan(A -B) = -2/23

tan(A -B) = - 0.086

Thus ,if tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.

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Answer:

B

Step-by-step explanation:

This is because to write a polynomial in standard form they are arranged from the highest degree to the lowest degree.

\( {x}^{3} \: carries \:the \: \: highest \: degree\: which \: is \: 3.\)

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

0.72secs

Step-by-step explanation:

Given the height of the ball in air modeled by the equation:

h=−16t²+23t+4

Required

Total time it spent in the air

To get this we need to calculate its time at the maximum height

At the maximum height,

v = dh/dt = 0

-32t + 23 = 0

-32t = -23

t = 23/32

t = 0.72secs

Hence the total time it spend in the air will be 0.72secs

The total time for which the ball is in the air is 0.72 seconds and this can be determined by differentiating the given function.

Given :

A boy throws a ball into the air. The equation \(\rm h = -16t^2+23t+4\) models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown.

Differentiate the given function of height with respect to 't' in order to determine the value of 't'.

\(\rm h = -16t^2+23t+4\)

\(\rm \dfrac{dh}{dt}=-32t+23\)

Now, equate the above differential equation to zero.

-32t + 23 = 0

23 = 32t

t = 0.72 seconds

So, the total time for which the ball is in the air is 0.72 seconds.

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Answer:polygon

Step-by-step explanatiopolygon

Answer:

Step-by-step explanation:

In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,

\(m=\frac{-7-5}{4-10}=\frac{-12}{-6}=2\) So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)

y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):

y - (-7) = 2(x - 4) and simplified:

y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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The surface area of the prism is 744 cm², the volume of the prism is 624 cm³.

Given:

- Height of the regular quadrilateral prism (h) = 13 cm

- Lateral area of the prism (AL) = 624 cm²

1. Surface Area:

To find the surface area, we need to calculate the area of the two bases and the lateral area of the prism.

The area of each base can be found by dividing the lateral area by the height: A = AL / h = 624 cm² / 13 cm = 48 cm².

Since there are two identical bases, the total base area is 2 times the area of one base, so the total base area is 2 * 48 cm² = 96 cm².

To calculate the surface area, we add the area of the two bases to the lateral area: Surface Area = 2A + AL = 2 * 48 cm² + 624 cm² = 120 cm² + 624 cm² = 744 cm².

Therefore, the surface area of the prism is 744 cm².

2. Volume:

The volume of the prism can be found by multiplying the base area by the height: Volume = A * h = 48 cm² * 13 cm = 624 cm³.

Therefore, the volume of the prism is 624 cm³.

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(a) The probability that a point chosen randomly inside the rectangle is in the square is 0.6.

(b) The probability that a point chosen randomly inside the rectangle is outside the square is 0.4.

The probability that a point chosen randomly inside the rectangle is in each given shape is calculated as follows;

The area of the triangle is calculated as follows;

area = ¹/₂ x base x height

area = ¹/₂ x 4 x 5

area = 10 sq.units

The area of the rectangle is calculated as follows;

area = 4 x 4

area = 16 sq.units

The probability that a point chosen randomly inside the rectangle is in the square is calculated as;

P = outcome / total possible outcome

P = ( 10 ) / 16

P = 0.625 ≈ 0.6

The probability that a point chosen randomly inside the rectangle is outside the square;

P = 1 - p(inside)

P = 1 - 0.6

P = 0.4

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The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

120 : 5 = 24 suy ra 24 x 7,5 = 180

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree​?

To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.

In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.

\(9,139-6,016=3,123\)

The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.

\(2010 \rightarrow2014 = 4 \text{ years}\)

That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.

\(\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75\)

That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.

Answer:

I Agree

Step-by-step explanation:

That seems like a fair advantage for people planning to go to college!

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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