When you answer, could you just put the letter of the number you have? Thank you.

The scientist will take 23 seconds to get back to the sea level.

Let us calculate the distance covered by the scientist at the given speeds and at the specified times.

She travels down for 41 seconds at speed of 4.9 feet per second.

Distance travelled = 41 × 4.9 = 200.9 feet

Elevation = -200.9 feet

She then goes up for 49 seconds at speed of 3.2 feet per second.

Distance travelled = 49 × 3.2 = 156.8 feet

Elevation = -222.9 + 156.8 = -44.1

So she is at a depth of 44.1 feet below the sea level.

Time taken = 44.1 / 3.6 = 12.25 seconds

Therefore it will take her about 12.25 seconds to go back to the sea level.

The average surface level of one or more of the Earth's coastal bodies of water is known as mean sea level (MSL), which can be used to calculate heights like elevation.

There are several terminologies that describe the ebb and flow of the relationship between sea level and dry land.

Top learn more about sea level visit:

https://brainly.com/question/13905480

#SPJ1

The solution to the variable x is 12 and the measure of ∠B is 48°.

∠A = 5x−12°

∠B = 2x+24°

Angle A and Angle B are congruent angles.

Congruent angles are angles with the same or equal measures.

So,

∠A = ∠B

5x - 12 = 2x + 24

5x - 2x = 24 + 12

3x = 36

divide both sides by 3

x = 36/3

x = 12

So therefore,

∠A = 5x−12°

= 5(12) - 12

= 60 - 12

= 48°

∠B = 2x+24°

= 2(12) + 24

= 24 + 24

= 48°

Therefore, since ∠A and ∠B are congruent, the measure of ∠A and ∠B is 48° respectively.

Read more on congruent angle:

https://brainly.com/question/15443192

#SPJ1

The relation that is a function in the option is graph C.  

A function relates an input to an output.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

In a simpler term, a function relates each element of a set with exactly one element of another set (possibly the same set).

In a function, the x value is exactly related to a single y value,  exactly, means that a function is single valued. It will not give back 2 or more results for the same input.

Therefore, the only graph that follows the rule of a function is graph C.

learn more on function here: https://brainly.com/question/6241820

#SPJ1

Answer:

1

Step-by-step explanation:

7-6=1

Answer:

c-a

replace x with 7 and a with 6

rewrite: 7-6

7-6 = 1

Answer: 1

Answer:

the mistake was in subtracting 21.6 from 13.8

Step-by-step explanation:

the answer was suppose to be -7.8 and not 35.4

Answer:

the mistake was in subtracting 21.6 from 13.8

Step-by-step explanation

the answer was suppose to be -7.8 and not 35.4

Answer:

Two negatives, positive answer:

-3 - (-4) = 1

Two negatives, negative answer:

-45 - (-1) = -44

The linear equation to represent the total cost c =  2.25s + 1,347.85.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Using slope

slope= ( 5847. 75 - 4074 . 85)/( 2000- 1200)

slope= 1800 - 800

slope= 2.25

and, slope- intercept form

c - 4047.85 = 2.25 ( s- 1200)

c - 4047.85 = 2.25s - 2700

c = 2.25s - 2700 + 4047.85

c =  2.25s + 1,347.85

Hence,  linear equation to represent the total cost c =  2.25s + 1,347.85.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

When there is 580 feet of fencing available to complete the job, the largest possible total area of the 5 pens is 7008.33 feet.

The quantity area expresses the extent of a region on a plane or curved surface.

STEP 1: We know that,

A=x y

The perimeter equals 580feet.

The equation is,

580=6x+2y

Step 2: Solving y terns with x,

y=-3x+290

This information will assist us in obtaining our Area equation in terms of a single variable (just in terms of x).

Step 3: Using the x-y relationship discovered in Step 2, write your Area equation in terms of x only. You should obtain

A=x y

A=x(-3x+290)

A=-3x²+290x

Step 4: Derive the area equation,  A' = -6x+290

Step 5: Set A' = 0

-6x+290=0

x=290/6

x=48.33

Step 6: Find y by substituting 48.33 in x in the perimeter equation then,

y=-3(48.33)+290

y=145.01

Step 7:  A=x y

A=(48.33)(145.01)

A=7008.33 feet

The largest possible total area of the 5 pens is 7008.33 feet

To know more about area, visit:

https://brainly.com/question/27683633

#SPJ4

Answer:

2.5 × 10^-1

step-by-step explanation:

To get to standard form, you must move the decimal to the right one place so the number before it is not a 0. Because you move the decimal, you must add the second part of the equation so that the value does not change.

Answer:

02.5 but the 0 at the beginning isn't significant so 2.5

Step-by-step explanation:

because to find the standard form you move the decimal point so that there is only one non-zero digit in front of the decimal point.

The function that will standardize a multivariate normal sample is

Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))

According to a multivariate normal distribution with mean vector m and variance-covariance matrix M, then this random vector, X , will have the joint density function as shown:

Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))

where, |M| denotes the determinant of the variance-covariance matrix M and M^(-1) is just the inverse of the variance-covariance matrix M.

Hence, the function that will standardize a multivariate normal sample is

Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))

Learn more about Statistics here https://brainly.com/question/15525560

#SPJ4

Equation -15x + 4x + 2-x= -12x+3 has no solution.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. The x + 4 = 12 equation states that the left and right sides of the equation are equal. A assertion that "this equals that" is what constitutes an equation.

Given,

Equation:

-15x + 4x + 2 - x = _x +3

For no solution, value of x on both sides should be equal,

So,

-15x + 4x - x

-12x

Value of x will be -12.

Equation -15x + 4x + 2-x= -12x+3 has no solution.

To learn more about equation, visit:

https://brainly.com/question/10413253

#SPJ13

In linear equation, 57 cents per cubic foot  should clint charge for a cubic foot .

What are a definition and an example of a linear equation?

cubic meter =  [3.28 ft ]^3  ≈ 35.29 cubic feet

So,

 price [ in cents] / 35.29  cubic feet  = 2000 / 35.29  ≈  57 cents per cubic foot

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

Answer:11

Step-by-step explanation: 44 divided into 4 is 11.

Answer:

The answer would be 11

Step-by-step explanation:

Because, 44 divided by 4 = 11

Answer: 431 664.685 m2

Step-by-step explanation:

The relationship between the data, the line and the unit price of apples of $1.50 per pound is best represented by option C Graph.

What is the slope of a line?

The slope of a line is the tangent of the angle that the line makes with the positive direction of the x-axis. It signifies the rise in the y-variable for a unit change in the x-variable.

If the line passes through the points (x, y) and (x, y), then the slope of the line, m = (y - y)/(x - x).

(2, 3) representing the purchase by Logan,

(5, 7.5) representing the purchase by Lin,

(3, 4.5) representing the purchase by Chita.

The unit price can be calculated by the slope of the line;

m = (7.5 - 4.5)/(5 - 3) = 3/2 = 1.5.

Hence, The relationship between the data, the line and the unit price of apples of $1.50 per pound is best represented by option C Graph.

Learn more about the graph and the slope of graphs at

brainly.com/question/7040405

The absolute value equation representing all numbers x whose distance from 5 is equal to 5 units is written as:

|x - 5| = 5

An absolute value equation where the variable is x can be written as:

|x - a| = b

This means that the distance between x and a is equal to b.

So if we want to write an equation where the distance between x and 5 is equal to 5, then we can replace:

a = 5

b = 5

And the absolute value equation will be:

|x - 5| = 5

This is what we wanted to get.

Learn more about absolute value equations:

https://brainly.com/question/5012769

#SPJ1

Answer:

22.479411764705882352941176470588

Step-by-step explanation:

76.43/3.4

=22.479411764705882352941176470588

Answer:

Bracelets: 7 Necklaces: 9

Step-by-step explanation:

b+n=16

6n+24n=258

b=-n+16

6(-n+16)+24n=258

-6n+96+24n=258

18n=162

n=9

6n+24(9)=258

6n+216=258

6n=42

n=7

B stands for bracelets

N stands for necklaces

The similar pairs of triangles are given as follows:

Similar triangles are two triangles that have the same angle measures.

For these triangles, considering the relations between angles such as sine/cosine/tangent, or the law of sines, the side lengths have to be proportional.

Considering the need for proportional side lengths, the similar triangles in this problem are given as follows:

The other triangles are not similar as there are no proportional relationships that can be established from the side lengths of these triangles.

The problem is given by the image at the end of the answer.

More can be learned about similar triangles at https://brainly.com/question/11920446

#SPJ1

Step-by-step explanation:

the sum of all angles in a triangle is ALWAYS 180°.

and by using the word "congruent" : for angles that only means they are equally large.

we know the third angle.

so,

180 = P + Q + R = 2×P + 28.45

(because P = Q)

2×P = 151.55

P = Q = 151.55 / 2 = 75.775°

If a train leaves a station heading east. after traveling east for 33 miles, the train leaves 56 miles south. The distance of the train from the station is C. 65.

Using Pythagoreans theorem formula to find the distance

d² =  a² + b²

Where:

d = distance =?

a= east for 33 miles

b = 56 miles south

Let plug in the formula

d = √33² + 56²

d = √ 1089 + 3136

d = √4225

d = 65 miles

Therefore the correct option is C.

Learn more about distance here: https://brainly.com/question/23848540

#SPJ1

Answer:

38%

Step-by-step explanation:

22 ÷ 58 = 0.3793...

Ans × 100 = 37.93%

As a whole number = 38%

Answer:

£3,774

Step-by-step explanation:

629 students at a school each pay £6 to go on a school trip. How much money do they pay in total?

629 * £6 = £3,774

Answer:

no of students= 629

amount paid each =£6

amount paid by all the students =no of students × amount paid each

:: 629

× 6

£3774

[tex] = 2x(x - 3) - 5(x - 3) \\ = 2 {x}^{2} - 6x - 5x + 15 \\ = 2 {x}^{2} - 11x + 15 [/tex]

ATTACHED IS THE SOLUTION

The equation of the parabola that similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5

The equation of the parabola

f(x) = [tex]7x^2[/tex]

The standard vertex form of a parabola is

y = [tex]a(x-h)^2[/tex] + k

The coordinates of the vertex of a parabola = (3, 5)

Where (h, k)  is the coordinates

From the given function of the parabola f(x) =  [tex]7x^2[/tex]

The value of a = 7

Substitute the values in the vertex form of a parabola

y = [tex]7(x-3)^2[/tex] + 5

Hence, the equation of the parabola that is similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5

Learn more about vertex form here

brainly.com/question/21500885

#SPJ1

Step-by-step explanation:

at first multiply the factors

[tex] ({x}^{2 } + x \: - 3x \: - 3)(x - 1) = 0[/tex]

[tex] {x}^{3} - {x}^{2} - 3 {x}^{2} - \: 3x - {x}^{2} - x \: + 3x + 3 = 0[/tex]

[tex] {x}^{3} - 5 {x}^{2} - x + 3 = 0[/tex]

Here we see the highest power is 3 so the degree of the equation is 3

As for the real roots, the factors each as in (x-1), (x-3) & (x+1) can be considered zero each to find the real roots because for the value of x to be zero any of the multiplied factors must be zero.

either, x-1=0

=> x = 1

or, x+1=0

=> x = -1

or, x-3=0

=> x = 3

real roots of x are: 1, -1 and 3