Elijah is snorkeling above a shipwreck. The ship has an elevation of -105 feet. Elijah is snorkeling at 2/15 of the ship's elevation. What is Elijah's elevation?

Answers

Answer 1

Elijah's elevation when Elijah is snorkeling above a shipwreck is -14.

What is elevation?

Elevation simply has to do with the height above sea level.

In this case, Elijah is snorkeling above a shipwreck and the ship has an elevation of -105 feet. Elijah is snorkeling at 2/15 of the ship's elevation.

Elijah's elevation will be:

= Fraction of his snorkeling × Ship's elevation

= 2/15 × (-105)

= -14

This shows the elevation of Elijah.

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Related Questions

what property is used to solve this?

4x-3

x=2

4(2)-3

Answers

commutative property

I need help with this question... it's about special triangles and I need to find y and z.. it should also not be a decimal.

Answers

To find z, consider the right-angled triangle at the botton in the diagram showm

[tex]\begin{gathered} \sin 45\text{ = }\frac{z}{20} \\ z\text{ = 20 }\sin 45 \\ z\text{ = }20\text{ }\times\frac{1}{\sqrt[]{2}} \\ z\text{ = }\frac{20}{\sqrt[]{2}} \\ z\text{ = }\frac{20}{\sqrt[]{2}}\times\frac{\sqrt[]{2}}{\sqrt[]{2}} \\ z\text{ = }\frac{20\sqrt[]{2}}{2} \\ z\text{ = 10}\sqrt[]{2} \end{gathered}[/tex]

Let the common base of both triangles be m

[tex]\begin{gathered} \cos 45\text{ = }\frac{m}{20} \\ m\text{ = 20 }\cos 45 \\ m\text{ = }\frac{20}{\sqrt[]{2}} \\ m\text{ = }\frac{20}{\sqrt[]{2}}\times\frac{\sqrt[]{2}}{\sqrt[]{2}} \\ m\text{ = 10}\sqrt[]{2} \end{gathered}[/tex]

To find y:

[tex]\begin{gathered} \tan 30\text{ = }\frac{y}{m} \\ \tan 30\text{ = }\frac{y}{10\sqrt[]{2}} \\ \frac{1}{\sqrt[]{3}}=\text{ }\frac{y}{10\sqrt[]{2}} \\ y\text{ = }\frac{10\sqrt[]{2}}{\sqrt[]{3}} \\ y\text{ = }\frac{10\sqrt[]{6}}{3} \end{gathered}[/tex]

To find x:

[tex]\begin{gathered} \sin 30=\frac{y}{x} \\ \frac{1}{2}=\frac{10\sqrt[]{6}}{3}\div x \\ \frac{1}{2}=\frac{10\sqrt[]{6}}{3}\times\frac{1}{x} \\ x\text{ = }\frac{20\sqrt[]{6}}{3} \end{gathered}[/tex]

In an arithmetic sequence with a1=-5 and d=-3, which term is -24?The term -24 is the ___th term of the sequence

Answers

Given:

[tex]\begin{gathered} a_1=-15 \\ d=-3 \\ a_n=-24 \end{gathered}[/tex]

To find:

The value of n.

Explanation:

The nth term formula for the arithmetic sequence is,

[tex]a_n=a_1+(n-1)d[/tex]

Substituting the given values we get,

[tex]\begin{gathered} -24=-15+(n-1)(-3) \\ -24=-15-3n+3 \\ -24=-3n-12 \\ -3n=-24+12 \\ -3n=-12 \\ n=4 \end{gathered}[/tex]

Thus, -24 is the 4th term of the sequence.

Final answer:

The term -24 is the 4th term of the sequence.

I will show you a pic

Answers

GIven the table above :

We have that

x y

2 8

4 4

6 0

8 4

The table represents a Non - Linear Function

Reason: It is because there is no constant ratio or proportion between x and y.

write an equation of each parabola in vertex form. Vertex (3,-2) Point (2,3)

Answers

The equation of Parabola in the vertex form with vertex (3,-2) and point(2,3) is y = 5(x-3)² - 2 .

The equation of parabola with vertex (h,k) is denoted by the equation

y = a(x-h)² + k

In the question ,

it is given that

the vertex of the Parabola is (3,-2) and the point is (2,3)

So, the equation of the parabola with vertex (3,-2) will be

y = a(x-3)² - 2

Since the point (2,3) lies on the parabola ,

So, 3 = a(2-3)² - 2

3 + 2 = a*(-1)²

5 = a

Substituting a in the equation  y = a(x-3)² - 2 ,

we get

y = 5(x-3)² - 2

Therefore , The equation of Parabola in the vertex form with vertex (3,-2) and point(2,3) is y = 5(x-3)² - 2 .

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Fill in the missing statements and reasons in each proof shown below. You must mark the diagram forcredit.15.Given: g | h and 21 22Prove: p | r3рStatementReason2.ghgh21 2 2321 2222 223pllr

Answers

To prove that p || r, we will complete the data in the given table

[tex]\begin{gathered} \text{Statement: g}\mleft\Vert h\mright? \\ R\text{eason : Given} \end{gathered}[/tex]

[tex]\begin{gathered} \text{Statement: <1}\cong<3 \\ \operatorname{Re}\text{ason: Corresponding angles} \end{gathered}[/tex]

[tex]\begin{gathered} \text{Statement: <1}\cong<2 \\ \operatorname{Re}\text{ason:Given} \end{gathered}[/tex]

[tex]\begin{gathered} Statement\colon\text{ <2}\cong<3 \\ Re\text{ason: Alternate exterior angle} \end{gathered}[/tex]

[tex]\begin{gathered} \text{Statement: P}\mleft\Vert r\mright? \\ \operatorname{Re}\text{ason:<2}\cong<3 \end{gathered}[/tex]

8. Anna withdrew $50 from her checking account. She spent $28 on a pair of shoes. What fraction of her money does Anna have left?

Answers

Explanation:

If she spent $28 of the $50 she withdrew, she now has:

[tex]50-28=22[/tex]

$22

The fraction is:

[tex]\frac{22}{50}=\frac{11}{25}[/tex]

Answer:

Anna has 11/25 of her money left.

Hello, I really need help on this assignment I don't understand what to do.

Answers

Answer:

-2 and -10

Explanation:

There are two numbers at a distance of 4 units from -6, the number that is 4 units to the right and the number that is 4 units to the left.

So, the number that is 4 units to the right is equal to

-6 + 4 = -2

And the number that is 4 units to the left is equal to

-6 - 4 = -10

Therefore, the numbers are -2 and -10 and they are represented as

Four points are labeled on the number line. M K L zo 0.5 1 Which point best represents 3? F. Point K G. H. Point 2 Point M Point N J.

Answers

The point that best represents 1/3 is point M .

The number line ranges from 0 to 0.5 with 10 divi

22The value of the hypotenuse in the right triangle shown isinches.14 in48 inFigure not drawn to scale

Answers

SOL

Step 1 :

In this question, we are meant to find the value of

the hypotenuse in the right angle below:

Before, we proceed, we still need to remind ourselves of Pythagoras' theorem,

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Step 2 :

From the above theorem, we can see that that the two adjacent sides are :

14 inches and 48 inches.

From the principle of Pythagoras' Theorem,

[tex]\begin{gathered} c^2=a^2+b^2 \\ \text{where a = 14 inches} \\ b\text{ = 48 inches} \\ c^2=14^2+48^2 \\ c^2\text{ = ( 14 x 14 ) + ( 48 x 48 )} \\ c^2\text{ = 196 + 2304} \\ c^2\text{ = 2500} \\ \text{square root both sides, we have that :} \\ c\text{ = 50 inches} \end{gathered}[/tex]

CONCLUSION :

The value of the hypotenuse in the Right angle, c = 50 inches.

compare and contrast the graphs y=2x+1 with the domain {1,2,3,4} and y=2x+1 with the domain of all real numbers

Answers

Comparison of both the graphs y=2x+1 with domain {1,2,3,4} and set of all real numbers is :

Slope =2 , y-intercept =1 and x-intercept = -1/2 is same.

Contrast is range is different:

Range = { 3, 5, 7, 9} for domain {1,2,3,4}

Range = set of all real numbers for domain all real numbers.

As given in the question,

Given function for the graphs are:

y =2x+1

Different domains

Domain ={1,2,3,4}

Domain =All real numbers

Compare with y=mx +c

Slope m =2

For y-intercept put x=0

y=2(0) +1

 =1

For x-intercept put y=0

0 =2x+1

⇒x=-1/2

Contrast:

For domain ={1,2,3,4}

Range is :

y = 2(1)+1

  =3

y=2(2)+1

 =5

y=2(3) +1

 =7

y=2(4)+1

 =9

Range ={ 3, 5, 7,9}

For domain= all real numbers

Range = set of all real numbers

Therefore, comparison of both the graphs y=2x+1 with domain {1,2,3,4} and set of all real numbers is :

Slope =2 , y-intercept =1 and x-intercept = -1/2 is same.

Contrast is range is different:

Range = { 3, 5, 7, 9} for domain {1,2,3,4}

Range = set of all real numbers for domain all real numbers.

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A toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 32 feet
per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t)=1612 +32t+5. How long will it take the rocket to reach its maximum height? What is the maximum height?

Answers

You have to find the vertex.

Find X of the vertex by using -b/2a

Then take X and plug back into equation for y.

X= time
Y= height

Equation makes a parabola that opens down.

Send me Answers for Questions A, B, and C

Answers

Answer: A) 4 B) 30 C) 6

Step-by-step explanation:

For question A, you subtract the highest number and the lowest number (10-6)

For question B, you add all the frequency numbers together

For question C, you use your answer on B and divide it by 5

Given ΔABC with m∠B = 62°, a = 14, and c = 16, what is the measure of A?

Answers

1) Let's sketch this out to better grasp it

2) We can see that there are two legs and two angles (one of them is missing) so let's solve it using the Law of Sines:

[tex]undefined[/tex]

J(-6-2)3-*NWMark this and return2--9-8-7-6-5-4-3-2-3₁ 1 2 3 4 5 61-5737-2-cd-6--7--8-2 do-9--10--11--12--13-8 9 10 11 xK(8,-9)What is the x-coordinate of the point that divides thedirected line segment from J to K into a ratio of 2:5?X == (m²²7 m )(x₂ − ×₁) + X₁m+n0 000-22Save and ExitNextSubmit

Answers

Use the given formula:

[tex]x=(\frac{m}{m+n})(x_2-x_1)+x_1[/tex]

Being m: 2 and n: 5

x1: -6

x2: 8

[tex]\begin{gathered} x=(\frac{2}{2+5})(8-(-6))+(-6) \\ \\ x=\frac{2}{7}*(14)-6 \\ \\ x=4-6 \\ \\ x=-2 \end{gathered}[/tex]Then, the x-coordinate of th point that divides the directed line segment from J to K into a ratio 2:5 is -2Answer: -2

Polynomial Functions:Find P(-1) and p(2) for each function.“P(x) = 4-3x”

Answers

[tex]P(x)=4-3x[/tex]

P(-1):

[tex]\begin{gathered} P(-1)=4-3(-1) \\ P(-1)=4+3 \\ P(x)=7 \end{gathered}[/tex]

P(2):

[tex]\begin{gathered} P(2)=4-3(2) \\ P(2)=4-6 \\ P(2)=-2 \end{gathered}[/tex]

On a particular day, the amount of untreated water coming into the plant can be modeled by f(t) = 100 + 30cos(t/6) where t is in hours since midnight and f(t) represents thousands of gallons of water. The amount of treated water at any given time, t, can be modeled by g(t) = 30e^cos(t/2)a) Define a new function, a′(t), that would represent the amount of untreated water inside the plant, at any given time, t.b) Find a′ (t).c) Determine the critical values of this function over the interval [0, 24).

Answers

a)The amount of untreated water inside the plant will be the difference between the difference f(t) - g(t), then, a(t) can be defined as follows:

[tex]a(t)=100+30cos(\frac{t}{6})-30e^{cos(\frac{t}{2})}[/tex]

b) the derivative of a(t) is the following:

[tex]a^{\prime}(t)=-5sin(\frac{t}{6})+15sin(\frac{t}{2})e^{cos(\frac{t}{2})}[/tex]

c) the critical values of a(t) over the interval [0, 24) are:

[tex]\begin{gathered} t=0 \\ t=6\pi \end{gathered}[/tex]

work out sues total pay

Answers

Sue's total pay for the year given the salary, bonus and share of profit is  £38,110.

What is the total pay?

Sue's total pay for the year is a function of the salary, the share of the profit that she earns and the bonus.

Salary for the year = monthly salary x number of months in a year

£1410 x 12 = £16,920

The next step is to determine the profit last year

Profit = total revenue - total cost

£549,000 - £473,500 = £75,500

Now determine the share of profit that Sue would earn.

Share of profit = 26% x  £75,500

0.26 x  £75,500 = £19,630

Now determine the total bonus she would earn : 4 x £390 = £1560

Total salary = £1560 +  £19,630 +  £16,920 = £38,110

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We have seen the isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use information to the right to help the measure of angles 1, 2, 3, 4, and 5.

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

triangle diagram

Step 02:

angles:

we must analyze the diagram to find the solution

angle 1:

angle 1 = 180° - 155° = 25°

angle 2:

angle 2 = angle 1 = 25°

angle 3:

angle 3 = 180° - 25° - 25° = 130°

angle 4:

angle 4 = 155°

angle 5:

angle 5 = 180° - 25° = 155°

That is the full solution.

help meeeeeeeeee pleaseee !!!!!

Answers

The value of the composite function is determined as: (g o f)(5) = 6.

How to Determine the Value of a Composite Function?

To determine the value of a composite function, first evaluate the inner function by plugging in the value of x given, then use the output of the inner function as an input to evaluate the outer function.

Given the following:

f(x) = x² - 6x + 2

g(x) = -2x

Therefore:

(g o f)(5) = g(f(5))

Find f(5):

f(5) = (5)² - 6(5) + 2

f(5) = 25 - 30 + 2

f(5) = -3

Find g(f(5)) by substituting x = -3 into g(x) = -2x:

g(f(5)) = -2(-3)

g(f(5)) = 6

Therefore, (g o f)(5) = 6.

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what is the y intercept of y = 250 + 15x

Answers

The y-intercept of y = 250 + 15x is (0,250)

What is y-intercept?

A line's y-intercept is the distance in y coordinates from the line's intersection with the y-axis at its origin. A location on the graph where x is 0 is known as the y-intercept. The y-intercept of a line that is perpendicular to the x-axis is undefined.

This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

Here to determine the y-intercept put x=0,

Given, y = 250 + 15x

Replacing x by 0 in the above equation we get,

y = 250 + 15×0

y=250 +0

y=250

Therefore, the y-intercept of y = 250 + 15x is (0,250)

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(a) Teresa owns 9 shares of a certain stock. Yesterday the total value of her shares went down by90 dollars. What was the change in value for each share?dollarsHelp ASAP PLEASE

Answers

we have that

Divide $90 by the number of shares

so

90/9=$10

the answer is $10

Hello! I need a little bit of help with this question please. (This information is not from an open test, it is a book as I'm studying for the ASVAB I am going to take later on.)

Answers

Given:

[tex]\sqrt{100}-\sqrt{64}[/tex]

To find:

We need to solve this sum and find the final answer

Step-by-step solution:

To solve this problem, we need to know the square root of 100 and 64.

√100 = 10

√64 = 8

[tex]\begin{gathered} =\sqrt{100}-\sqrt{64} \\ \\ =10\text{ - 8} \\ \\ =2 \end{gathered}[/tex]

Final answer:

Thus 2 (Option A) is the correct answer.

I am struggling with this question. could you help me please??

Answers

Problem

Solution

Let x = age, W= weight the two variables of interest

We have the following probabilities given:

P(x<37) =0.142

P(W< 2500) = 0.051

P(x <37 AND W<2500)= 0.031

And we want the following probability and we can use the total probability rule:

P(x < 37 OR W< 2500) = P(x<37) +P(W< 2500) -P(x<37 AND W<2500)

If we replace we got:

P(x < 37 OR W< 2500)= 0.142+ 0.051- 0.031= 0.162

Which values are solutions to the inequality below?Check all that apply.√x ≤ 5A. 1B. 18C. -5D. 25E. 24F. 625

Answers

Given the inequality:

[tex]\sqrt[]{x}<5[/tex]

We need to solve the inequality to get a range of values for x.

This we can do by finding the square of both sides:

[tex]\begin{gathered} (\sqrt[]{x})^2<5^2 \\ x<25 \end{gathered}[/tex]

On checking the options given, we will pick the numbers that are strictly less than 25.

Therefore, the correct options are:

OPTION A

OPTION B

OPTION C

OPTION F

SOMEONE PLEASE HELP ME QUICKLY WITH THIS,ITS AN EMERGENCY!!!!! pls explain how you get the solution as well, sorry!

Thank you <3

Answers

The statement that reflects the running rates is Pepe ran 9/8  mile in 1/2 hour and Paul ran 19/24 mile in 1/3 of an hour.

What is the speed?

Speed is the total distance run per time. It can be determined by dividing the total distance travelled by the total time.

Speed = distance / time

Speed if Paul ran 1/5 mile in 4/15 hour

Speed = 1/5 ÷ 4/15

1/5 x 15/4 = 3/4 miles per hour

Speed if Pepe ran 8/10 mile in 1/4 of an hour

Speed = 8/10 ÷ 1/4

8/10 x 4 = 16/5 = 3 1/5 mile per hour

Difference in speeds =

[tex]3\frac{1}{5}[/tex] - [tex]\frac{3}{4}[/tex]

[tex]3\frac{4 - 15}{20}[/tex] = [tex]2\frac{9}{20}[/tex]

Speed if Paul ran 4/15 mile in 1/5 hour

Speed = 4/15 ÷ 1/5

4/15 x 5 = 4/3 = 1 1/3 miles per hour

Speed if Pepe ran 1/4 mile in of 8/10 an hour

Speed = 1/4 ÷ 8/10

1/4 x 10/8 = 5 / 16

Difference in speeds = [tex]1\frac{1}{3} - \frac{5}{16}[/tex] = [tex]1\frac{1}{48}[/tex]

Speed if Paul ran 1/3 mile in 19/24 hour

Speed = 1/3 ÷ 19 / 24

1/3 x 24/19 = 8/19 miles per hour

Speed if Pepe ran 1/2 mile in of 9/8 an hour

Speed = 1/2  ÷ 9/8

1/2 x 8/9 = 4/9 mile per hour

Difference = 4/9 - 8/19 = 4/171

Speed if Pepe ran 9/8  mile in 1/2 hour

Speed = 9/8 ÷ 1/2

9/8 x 2 = 2 1/4  miles per hour

Speed if Paul ran 19 / 24 mile in of 1/3 an hour

Speed =  19 / 24  ÷ 1/3

19 / 24 x 3 = 2 3/8 miles per hour

Difference =

[tex]2\frac{3}{8} - 2\frac{1}{4}[/tex]

[tex]\frac{3 - 2}{8}[/tex] =  [tex]\frac{1}{8}[/tex] miles per hour

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Please help! I have 3 questions that I'm not sure what to do about :( if you could answer them that would be great

Answers

The resultant matrix for the given expressions are as follows -

[A]  → 2B - C = [tex]\begin{pmatrix}7.5&2.4\\ -16.4&-8.8\end{pmatrix}[/tex]

[B] → C + 2A = [tex]\begin{pmatrix}18.5&-8.4\\ 16.4&6.8\end{pmatrix}[/tex]

[C] → 2B - 10C + A = [tex]\begin{pmatrix}12&-36\\ -31&25\end{pmatrix}[/tex]

What is a Matrix?

Matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. A matrix has [n] rows and [m] columns. The order of a matrix is given by - [m] x [n].

Given are the three different matrices as -

A = [tex]\left[\begin{array}{ccc}9&-6\\7&5\\\end{array}\right][/tex]

B = [tex]\left[\begin{array}{ccc}4&3\\-7&-6\\\end{array}\right][/tex]

C = [tex]\left[\begin{array}{ccc}0.5&3.6\\2.4&-3.2\\\end{array}\right][/tex]

We can solve the given expressions as follows.

[A]  → 2B - C = [tex]\begin{pmatrix}7.5&2.4\\ -16.4&-8.8\end{pmatrix}[/tex]

[B] → C + 2A = [tex]\begin{pmatrix}18.5&-8.4\\ 16.4&6.8\end{pmatrix}[/tex]

[C] → 2B - 10C + A = [tex]\begin{pmatrix}12&-36\\ -31&25\end{pmatrix}[/tex]

Therefore, the resultant matrix for the given expressions are as follows -

[A]  → 2B - C = [tex]\begin{pmatrix}7.5&2.4\\ -16.4&-8.8\end{pmatrix}[/tex]

[B] → C + 2A = [tex]\begin{pmatrix}18.5&-8.4\\ 16.4&6.8\end{pmatrix}[/tex]

[C] → 2B - 10C + A = [tex]\begin{pmatrix}12&-36\\ -31&25\end{pmatrix}[/tex]

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An envelope is 15 centimeters wide, and it measures 17 centimeters along the diagonal. The envelope is __ centimeters tall.

Answers

An envelope is rectangular in shape.

Given the width = 15cm, and diagonal = 17cm

Let h represent the tall length of the envelope

Applying Pythagoras theorem, we have

[tex]\begin{gathered} 17^2=15^2+h^2 \\ 289=225+h^2 \\ h^2=289-225 \\ h^2=64 \\ h=\sqrt[]{64} \\ h=8\operatorname{cm} \end{gathered}[/tex]

The envelope is 8cm tall

The fraction models below represent two fractions of the same whole: How much of the8음을16

Answers

[tex]\begin{gathered} \frac{5}{8}x=\frac{1}{2} \\ x=\frac{1}{2}\times\frac{8}{5}=\frac{4}{5} \end{gathered}[/tex]

So 4/5 times 5/8 is 1/2.

what would be an equation for a decrease of 75% using the y=kx format?

Answers

Input data

75% = 0.75

format

y = kx

Procedure

The k factor would be equal to 0.25

The answer would be

[tex]y=0.25x[/tex]

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