Paul runs 4.8 km every morning. How many feet are in 4.8 km?

Answer:

Step-by-step explanation:

On your calculator go to stat-edit and enter the table. Press stat and go over to calc then press 4 and hit calculate it will give you the answer.

The slope of the line that is these data is 0.03 or 3/100

The correct option is (B).

The slope of a line is a measure of its steepness.

Given that:

Time              Distance

50                       1.5

200                      6

350                    10.5

400                      12

650                    19.5

Let us take,

\(x_1\)=1.5, \(x_2\)= 6, \(y_1\)= 50, \(y_2\)= 200

Slope of line, m= Δy/Δx

                       m=  \(x_2\)- \(x_1\)/ \(y_2\)-  \(y_1\)

                       m=6-1.5 /200-50

                       m=4.5 /150

                       m= 45/1500= 3/100

                      m=0.03

Hence, slope of line is= 0.03

Learn more about slope of line here:

https://brainly.com/question/16180119

#SPJ2

For this problem we use the arcs and chords theorem we know that

Solving for x we get:

Finally, we substitute x for mDH=(11x+7) degrees=(11*15+7) degrees=172 degrees.

mDH=172 degrees.

Therefore , the solution of the given problem of triangle comes out to be x = Tan⁻¹(15/8) .

Because a triangle has two or so more extra parts, it is a polygon. It has a straightforward rectangular shape. Only two of a triangle's three sides—A and B—can differentiate it from a regular triangle. Euclidean geometry produces a single area rather than a cube when boundaries are still not perfectly collinear. Triangles are defined by their three sides and three angles. Angles are formed when a quadrilateral's three sides meet. There are 180 degrees of sides on a triangle.

Here,

Given :

=> AS =15 and AN = 8

So,

We have to find m∠N = x

=> Tanx = 15/8

=> x = Tan⁻¹(15/8)

Therefore , the solution of the given problem of triangle comes out to be  x = Tan⁻¹(15/8) .

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

The steps for  locating an external cause code in order, with the first step on top are given below.

The steps are as follows

Learn more about external cause code  at:

https://brainly.com/question/32966011

#SPJ4

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

More on Linnaean class system: https://brainly.com/question/2548027

#SPJ11

Answer:

-1,-6

Step-by-step explanation:

The reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

In mathematics, reflection is a transformation that flips a shape, point, or object over a line, plane, or point. Reflection is also known as flipping, mirroring, or symmetry.

In two-dimensional geometry, the most common type of reflection is a mirror reflection, which involves flipping a shape or point over a line (known as the line of reflection) to create a mirror image. The line of reflection acts as a mirror, and the shape or point is reflected in the mirror as if it were a real reflection.

To find the reflection of the point P=(-1,6) across the x-axis, we can use the following formula:

Rx-axis(P) = (x, -y)

where x is the x-coordinate of P, and y is the y-coordinate of P.

In this case, the x-coordinate of P is -1, and the y-coordinate of P is 6. Therefore, the reflection of P across the x-axis, Rx-axis(P), is:

Rx-axis(P) = (-1, -6)

So the reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

To know more about reflection follow

https://brainly.com/question/20750065

#SPJ2

Answer:

800

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use this formula:

y - y1 = m ( x - x1 )

We are told m = -3 and given the point (12 , 5) ---- > so x1 = 12 and y1= 5

Put these values into the formula above and you get:

y - y1 = m ( x - x1 )

y - 5 = -3 ( x - 12 )

y - 5 = -3x + 36

y = -3x + 36 + 5

y = -3x + 41

The given sequence is defined recursively, where the first term is \(a_1\) = 4, and each subsequent term is obtained by multiplying the previous term by 5 and subtracting 6.

To find the first five terms of the sequence, we can apply the recursive definition:

\(a_1 = 4\)

To find \(a_2\), we substitute n = 1 into the recursive formula:

\(a_2 = 5a_1 - 6 = 5(4) - 6 \\\\= 14\)

To find \(a_3\), we substitute n = 2 into the recursive formula:

\(a_3 = 5a_2 - 6 = 5(14) - 6 \\\\= 64\)

To find \(a_4\), we substitute n = 3 into the recursive formula:

\(a_4 = 5a_3 - 6 = 5(64) - 6 = 314\)

To find \(a_5\), we substitute n = 4 into the recursive formula:

\(a_5 = 5a_4 - 6 = 5(314) - 6 = 1574\)

Therefore, the first five terms of the sequence are:

\(a_1 = 4,\\\\\a_2 = 14,\\\\\a_3 = 64,\\\\\a_4 = 314,\\\\\a_5 = 1574.\)

In conclusion, the first five terms of the sequence are obtained by applying the recursive formula, starting with \(a_1 = 4\) and using the relationship \(a_n+1 = 5a_n - 6\).

To know more about Recursive Formula visit-

brainly.com/question/31268951

#SPJ11

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

\(\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx \)

Here 5 is a constant so it can come out . So that,

\(\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx \)

Now we can write √x as ,

\(\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx \)

Simplify ,

\(\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx \)

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

\(\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) \)

On simplifying we will get ,

\(\longrightarrow \underline{\underline{ I = 2 }}\)

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\( \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx\)

use constant integration rule which yields:

\( \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx\)

notice that we can rewrite √x using Law of exponent therefore we obtain:

\( \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx\)

once again use law of exponent which yields:

\( \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx\)

use exponent integration rule which yields;

\( \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} \)

simplify which yields:

\( \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} \)

recall fundamental theorem:

\( \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} \)

simplify:

\( \displaystyle 2 \)

hence

our answer is A

The line graphed with the y-intercept 3 and slope -4/3 is shown in the graph added in the attachments.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

m=(y₂-y₁) / (x₂-x₁)

It is given that,  the line is having the y-intercept 3 and slope -4/3.

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

The equation with the y-intercept 3 and slope -4/3 is,

y=mx+c

y= -4/3x+3

3y= -4x+9

Thus, the line graph with the y-intercept 3 and slope -4/3 is shown in the graph added in the attachments.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

Step-by-step explanation:

According to the base of similarity, then

12÷6=8÷x

12x=48

=4

6+4=

10

Answer:

23 + 2v

Step-by-step explanation:

23 increased means 23 +

twice vidya's savings is 2v

Expressions = 23 +2v

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

Learn more about conditional probability here: brainly.com/question/10739997

#SPJ4

The tree grows a 2.2 feet per year and have an initial height 6.6. So the equation of the height will be 6.6+2.2t.

Let the increase in height be a linear equation,

Let H be the height of the tree, t represent number of years.

We do not know the coefficients.

So, let H = a + b t

When t=o, H = 6.6 , So a= 6.6

When t= 1 , H = 6.6 + 2.2t

So the equation for the height of the tree with respect to years will be

H = 6.6 + 2.2t

For more information regarding algebraic equations, kindly refer

https://brainly.com/question/29131718

#SPJ4

First

Eight avocados cost $4.

How much do 16 avocados cost?

How much do 20 avocados cost?

How much do 9 avocados cost?

Explanation/Answer:

My man take it easy so 16 x 4 is 64

20x 4 is 80

9x4 is 36

THERE YOU GO THAT WAS EASY RIGHT?

Answer:

113.04

Step-by-step explanation:

The side lengths of the triangle are:

Longer side= 36m, shorter side= 27m and hypotenuse=45m

Here, we have,

Let x be the longer leg of the triangle

According to the problem, the shorter leg of the triangle is 9 shorter than the longer leg, so the length of the shorter leg is x - 9

The hypotenuse is 9 longer than the longer leg, so the length of the hypotenuse is x + 9

We know that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So we can use the Pythagorean theorem:

(x + 9)² = x² + (x - 9)²

Expanding and simplifying the equation:

x² + 18x + 81 = x² + x² - 18x + 81

x²-36x=0

x=0 or, x=36

Since, x=0 is not possible in this case, we consider x=36 as the solution.

Thus, x=36, x-9=27 and x+9=45.

Read more about right angle triangles:

brainly.com/question/12381687

#SPJ4

Answer:

I’d say false

Step-by-step explanation:

Answer:

Your answer is <, Hope it helps.

Answer:

Substitution ( even though I prefer Common sense)

Answer:

  $15.75

Step-by-step explanation:

You can do this a couple of ways.

(1) Compute the tax, and add it to the price to find the total.

  5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax

Then the total cost is $15 + $0.75 = $15.75.

__

(2) Add the percentage to 100% and use that to multiply the cost.

  total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05

  total cost = $15.75

1 ball and 3 board games can be chosen by Amanda in option E. 60 ways.

Here it is given that Amanda needs 1 ball and 3 board games.

The toy store only has 3 kinds of balls and 6 types of board games. Hence we will use combinations to determine the no. of ways she can choose the items

ⁿCₓ = n! / (n - r)! X r!

The ball can be chosen in

³C₁ ways

= 3! / 2! X 1!

= 6/2

= 3 ways

The board game can be chosen in  ⁶C₃ ways

= 6! / 3! X 3!

= 720 / 36

= 20 ways

Hence the total number of ways the items can be chosen is

3 X 20 ways

= E. 60 ways.

Complete Question

Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9

B. 12

C. 14

D. 15

E. 60

To learn more about Combinations visit

https://brainly.com/question/13970288

#SPJ4

Answer:

43

Step-by-step explanation:

You divide it into 2 rectangles.

3*1=3

8*5=40

40+3+43

43!!!

Answer:

43 m².

Step-by-step explanation:

First split the shape into two rectangles.

The rectangle on top has dimensions of 1 m x 3 m.

8 m - 5 m = 3 m (that's how I got 3*)

So,

A = l x w

A = 3 x 1

A = 3 m²

The second rectangle has dimensions of 5 m x 8 m.

So,

A = l x w

A = 8 x 5

A = 40m²

Then, add the two areas together to get the total area of the shape.

40 + 3 = 43 m²

The given series is convergent. The sum of the series is approximately 6.096. The given series can be written as Σ(1/(7eⁿ)) from n = 1 to infinity. To determine convergence, we can analyze the behavior of the terms as n approaches infinity.

The general term of the series is 1/(7eⁿ), where e is the mathematical constant approximately equal to 2.71828. As n increases, the exponential term eⁿ grows rapidly, causing the denominator to become very large. As a result, each term of the series approaches zero. This suggests that the series is convergent.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series. In this case, the first term (a) is 1/(7e), and the common ratio (r) is 1/e. The sum (S) can be calculated as S = a / (1 - r).

Plugging in the values, we get S = (1/(7e)) / (1 - 1/e). Evaluating this expression gives us the approximate sum of 6.096.

Therefore, the given series is convergent, and its sum is approximately 6.096.

Learn more about denominator here: https://brainly.com/question/15007690

#SPJ11

Answer:

no

Step-by-step explanation:

Answer:

r 5mmm

d 10mm

Step-by-step explanation:

radius is 5mm

diameter is twice the radius so the diameter would be 10mm

Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

Answer:

Total ticket expenses = $24

Step-by-step explanation:

Given:

Each way cost = $4

Total ways = 3 x 2 = 6 times

Find:

Total ticket expenses

Computation:

Total ticket expenses = Each way cost x Total ways

Total ticket expenses = 4 x 6

Total ticket expenses = $24

Linda contributed $3,355.56 to social security in 2003.

The Social Security tax is a payroll tax that is deducted from employees' paychecks to help fund the Social Security program, which provides retirement, disability, and survivor benefits to eligible individuals.

The Social Security tax rate is typically 6.2% for employees and employers, and the maximum amount of taxable earnings is determined each year by the Social Security Administration (SSA).

In 2003, the maximum taxable earnings was $87,000. This means that any earnings above $87,000 were not subject to Social Security taxes.

To calculate Linda's contribution to social security in 2003, we will use the given social security tax rate of 6.2% and her income of $54,122.

Convert the tax rate percentage to a decimal by dividing by 100.
6.2% / 100 = 0.062

Multiply Linda's income by the decimal tax rate.
$54,122 * 0.062 = $3,355.56

Linda contributed $3,355.56 to social security in 2003.

Learn more about "percentage": https://brainly.com/question/24877689

#SPJ11