1. (10 pts) The formula for calculating the distance, d, in miles that one can see to the horizon on aclear day is approximated by d = 1.22√x, where x, is the elevation in feet of a person's eyes.a. Approximate how far in miles can a person whose eyes are 5' 6" from the ground see tothe horizon when they are at sea-level. (Hint: Height is often measured with two units,feet and inches, but this formula does not allow for two units.) Figure out if you need toconvert to feet or inches and then do the conversion out as a multiplication problembefore you answer the question Round to the nearest hundredth if necessary.b. How far does the same person see when they are standing on top of an 8,000 footmountain? (Hint: Consider where are their eyes if the mountain is the given height)Round to the nearest hundredth if necessary.

Given,

The speed of first train is 175km/h.

The speed of second train is 225 km/h.

Consider, the time taken by first train to meet is x h.

The time taken by the second train to meet is (x-2) h.

The distance is calculated as,

At the meeting point the distance covered by both train is same,

So, taking the distance equation of both trains in equal,

The first train meet to second train after distance,

The second train meet to first train after distance,

Hence, both train meet after 1575 km from the station.

Given

Client takes 1 1/2 of medication one time

Find

how many tablets will client have been taken at the end of 4 days.

Explanation

Client takes medication one time = 1 1/2

Client takes medication three times =

medication for 4 days =

Final Answer

The client takes 18 tablets at the end of four days.

The volume of 2.78 g of copper is 0.626 [tex]cm^{3}[/tex].

According to the question,

We have the following information:

Density of cooper = 4.44 [tex]g/cm^{3}[/tex]

Mass of copper = 2.78 g

We know that the following formula is used to find the density of any material:

Density = Mass/volume

Let's denote the volume of copper be V.

Now, putting the values of mass and density here:

4.44 = 2.78/V

V = 2.78/4.44

V = 0.626 [tex]cm^{3}[/tex]

(Note that the units if mass, volume and density are written with the numbers. For example, in this case, the unit of mass is grams, the unit of volume is [tex]cm^{3}[/tex].)

Hence, the volume of the copper is 0.626 [tex]cm^{3}[/tex].

To know more about volume here

https://brainly.com/question/1578538

#SPJ1

The given system is

First, we multiply the first equation by 5.

Then, we combine the equations

Given that the result is not true (75 is not equal to 12), we can deduct that the system has no solutions.

From the graph, the solution of the graph is given by the area of intersection of the two functions. The are under the area of the two functions are (-4, 1), (-5, 0), (-4, 4)

Answer:

C. Infinite Solutions

Explanation:

Given the equation

First, open the bracket

Since the left-hand side equals the right-hand side, the system has Infinite Solutions.

Answer:

Explanation:

• The ,cost price ,of the pair of skis = $700

• The ,selling price ,of the pair of skis = $1020

To calculate the percentage of profit, use the formula below:

Substitute the given values:

The percentage profit is % (correct to the nearest hundredth).

The given statement is the product of 2 groups of 7.

This statement can be expressed as

Where each seven represent one group.

The ratio of a quarterback's completed passes to attempted passes is 5 to 8. If he attempted 16 passes, find how many passes he completed. Round to the nearest whole number if necessary.

Let

x -----> number of quarterback's completed passes

y -----> number of quarterback's attempted passes

so

x/y=5/8 -----> x=(5/8)*y -----> equation A

y=16 -----> equation B

substitute equation B in equation A

x=(5/8)*16

x=10

therefore

The measure of < JKL = 25+25 = 50 degrees.

Angle JOK = 360 -230 = 130 degrees , (where O is the center of the circle)

< OLK = < OJK = 90 degrees ( tangent to a circle)

< LOK = < JOK = 180 - (90+65) = 180 - 155 = 25 degrees

The solution is: < JKL = 25 +25 = 50 degrees

By CPCTC this is the only valid answer:

CB ≅ AB

Another statement should be AD≅ CD

SOLUTION

Let the total number of cards in Ketin's card collection be k

Let the number of baseball cards be b, and

the number of football cards be f

Now, the ratio of baseball cards to football cards is 6 to 7, that is

Also, he has 120 baseball cards.

This means

So, the total number of cards in Ketin's card collection is

Hence the answer is 260

Given:

The Radius of the circle: 2.5 inch

To find:

The area of the circle

Step-by-step solution:

We know that:

The Area of the circle = π(r)²

The Area of the circle = π(2.5)²

The Area of the circle = 3.14 × (2.5)²

The Area of the circle =

1/2 hour playing -- 1/9 battery

1 hour playing -- 2/9 battery

1 1/2 hours playing --- 3/9 battery

2 hours playing ------ 4/9 battery

2 1/2 hours playing ---- 5/9 battery

3 hours playing ----- 6/9 battery

3 1/2 hours playing --- 7/9 battery

4 hours playing -----8/9 battery

4 1/2 hours playing ---- 9/9 battery

9/9 represent the entire battery so che can play 4.5 hours on her phone

it can be represented into a fraction as

To determine the lateral area of the prism;

To determine total area of the prism;

To determine the volume of the prism;

Hence

Step-by-step explanation:

what is the problem ?

first you need to put "1" in place of the x and calculate, and then you need to put "2" in place of the x and calculate.

just simple calculation !

(a)

R(1) = 1000×1² / (1² + 4) = 1000 / 5 = 200

$200 million

(b)

R(2) = 1000×2² / (2² + 4) = 4000 / 8 = 500

$500 million

there ! that's all that was needed.

Express the fraction in terms of decimal.

The numbers are,

2.3, 2.4, 2.5, 2.2, 2.1.

Now we arrange the number from least to greatest.

So answer is,

We are given the following equation

Let us solve the equation for variable y

Our goal is to separate out the variable y

Subtract 7/8 from both sides of the equation.

Since the denominators of the two fractions are the same, simply add the numerators.

Therefore, the value of y is -1

To fins the rate in feet/year we must change first the measurements to the units required

inches to feat

minutes to years

to find the rate divide the distance over the time

Explanation:

The test contains 10 questions, each one can be answered either with 'true' or with 'false' which means that for each question there are only 2 options.

We need to find the number of ways in which the test can be completed.

To answer the question we use the fundamental counting principle:

In this case, there are 2 ways to complete each question, therefore, we multiply that by the 10 questions that we have:

This can be simplified to

which is equal to:

Answer:

1024

The probability of landing in any colour is:

so if we want to get a red, both times, we to multiply 1/5 twice

so, the probability of getting red twice is 1/25

Using the y axis, we want to find when it goes below 16

The x value when y is less than 16 for the first time is 2002

Answer:

(f o g) = 464

Step-by-step explanation:

f(x) = x² - 3x + 4; g(x) = -5x

(f o g)(4) = f(g(4))

f(g(4)) = -5(4) = -20

f(g(4)) = (-20)² - 3(-20) + 4

f(g(4)) = 464

I hope this helps!

Solution

- The solution steps to solve the system of equations by elimination is given below:

Final Answer

The answer is:

Pizza diameter D is given in mixed form:

Now, me must compare D with the lenght of the square box.

Since the lenght of the box is L=6.38 in. Hence, the box is big enough to

fit the pizza.

We have the following:

let x cost of a box of candy

let y cost of a box of peanuts

resolving the system of equations:

now, for y

Therefore the cost of the box of candy is $ 2 and the cost of the box of peanuts is $ 25

Jimmy is paid $14.50 per hour for a regular forty-hour work week and 5 point time and a half for any hour worked over 40. This pas week, Jimmy earned $754.00 in total pay. How many hours of overtime did Jimmy work? ​

Let

x -----> the total hours worked

we have that

$14.50 --------> 40 hours

5.5($14.50) -------> > 40 hours

so

754=14.50*40+5.5(14.50)x

solve for x

754=580+79.75x

79.75x=754-580

79.75x=174

x=2.2 hours

The row echelon form of the matrix is presented as follows;

[tex]\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}[/tex]

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

[tex]\begin{bmatrix}-3 &6 &15 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}[/tex]

The conditions of a matrix in the row echelon form are as follows;

Dividing Row 1 by -3 gives:

[tex]\begin{bmatrix}1 &-2 &-5 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}[/tex]

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

[tex]\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 1&0 &-1 \\\end{bmatrix}[/tex]

Subtracting Row 1 from Row 3 gives;

[tex]\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 0&2 &4 \\\end{bmatrix}[/tex]

Adding Row 2 to Row 3 gives;

[tex]\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 0&0 &18 \\\end{bmatrix}[/tex]

Dividing Row 2 by -2, and Row 3 by 18 gives;

[tex]\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}[/tex]

The above matrix is in the row echelon form

Learn more about the row echelon form here:

https://brainly.com/question/14721322

#SPJ1

Let x be the side opposite to angle 62 degrees

Let y be the adjacent angle.

The sine of the angle is given as follows:

The cosine is given as: