A submarine descended 32 feet below the surface of the ocean. It then rose 15 feet o look at a shark. Write a solution using integers and solve to find the current depth of the submarine. (Answer should be negative)

Solution and Answer:

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression when simplified is equal to 2.3684.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As per the PEMDAS, we will first solve the parenthesis. Since the round parenthesis is solved first, therefore, we can write,

90 ÷ [10 + ( 32 − 4 )]

= 90 ÷ [10 + (28)]

= 90 ÷ [10 + 28]

Solving the next parenthesis, therefore, the square brackets,

= 90 ÷ [10 + 28]

=  90 ÷ 38

At last, we will solve the division, therefore, we can write,

= 90 ÷ 38

= 2.3684

Hence, the value of the expression when simplified is equal to 2.3684.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

Step-by-step explanation:

310 is the answer.

C IS YOUR ANSWER.

All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form). Alternatively, a linear function can be expressed in the form y – y0 = m(x – x0), where m is the slope and (x0, y0) is a point on the line (point-slope form

PLEASE MARK BRAINLIEST

Answer:

Step-by-step explanation:

f(x) = 2x2 − 12x + 24

      = 2(x^2 - 6x) + 24

      = 2[(x - 3)^2 - 9) + 24

      = 2(x - 3)^2 - 18 + 24

      = 2(x - 3)^2 + 6

- so the minimum cost is 6

Answer:

2/3 1/5 6/8

Step-by-step explanation:

Answer:

b.Testing a claim about a single population mean.

Step-by-step explanation:

Hello!

The researcher wants to test the claim that corporation employees work more than 40 hours per week.

The variable of interest is "The number of hours a corporate employee works per week"

The parameter of study, for her to make a valid conclusion about the weekly working hours of the population of corporation employees is the population mean μ.

If the claim is correct, she would expect the population mean of weekly hours the corporate employees work to be greater than 40.

This is an example of a single population mean test.

Answer:

5 sec

Step-by-step explanation:

Hit the water, means h = 0

Solve -16t^2 + 68t +60 =0

4t^2 - 17t - 15 = 0

(4t + 3)(t - 5) = 0

so t = 5 sec

Answer:

The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.

An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.

Answer:

If the perimeter of the rectangle is 30cm , find its area. W=5 FOR THE WIDTH. 5*10=50 FOR THE AREA.

Step-by-step explanation:

The area of the Rectangle is 50 sq.m

The area of rectangle for a rectangle of length L and width W is given by

                                              A =  L* W

It is measured in square units.

Let the length of the rectangle be L

The width of the rectangle is W

The length of a rectangle is twice its width

L = 2W

Perimeter of the Rectangle is 2( Length + Width)

30 = 2 (L +W)

15 = L + W

15 = 2W +W

15 = 3W

W = 5m

L = 10m

The area of the rectangle is Length * Width

Area = 10 *5

Area = 50 sq.m

To know more about Area of Rectangle

brainly.com/question/20693059

#SPJ2

Answer:

∠s = ∠v

Step-by-step explanation:

Supplementary angles add up to 180°

∠s + ∠v = 180

90 + ∠v = 180

     ∠v = 180 - 90

      ∠v = 90°

⇒∠s ≅ ∠v

Answer:

the answer is the a affects the width

Step-by-step explanation:

the answer is a not the choice A, the third one

(i hope this help)

Answer:

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

We need to find the distance between line L and point A(6, -1).

To find the distance d between the point and the line, we'll use the point-to-line distance formula, which is given by:

      \(d = \dfrac{ |Ax + By + C| }{\sqrt{A^2 + B^2} }\)

where, A, B, and C are the coefficients of the line Ax + By + C = 0.

For line L, we have the equation y = - x - 2, which can be rewritten as:

The coordinates of point A are x = 6, y = - 1.

Now we can plug these values into the formula:

   \(d = \dfrac{ |1*6 + 1*(-1) + 2| }{\sqrt{1^2 + 1^2} }=\dfrac{|7|}{\sqrt{2} } =\dfrac{7}{\sqrt{2} } =5.0\)

So, the distance between line L and point A(6, -1) is approximately 5.0 units, rounded to the nearest tenth.

Perimeter of the parallelogram = 210 in.

Area of parallelogram = 2,484 in.²

Perimeter of parallelogram = 2(a + b), where a and b are its sides.

Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.

Given:

a = 51 in.

b = 54 in.

h = 46 in.

Perimeter of the parallelogram = 2(54 + 51) = 210 in.

Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²

Learn more about parallelogram on:

https://brainly.com/question/3050890

#SPJ1

Answer:

Hello! answer: 70

These are vertical angles meaning they Will have the same measurements Hope that helps!

Answer:

The silver will cost $1908.5125 to make one solid sphere

Step-by-step explanation:

The formula for the volume of a sphere is:

V = (4/3)πr^3

where r is the radius of the sphere.

Substituting the given value for the radius:

V = (4/3)π(4.5 cm)^3

= (4/3)(3.14)(91.125 cm^3)

= 381.7025 cm^3

The cost of the silver can be calculated by multiplying the volume by the cost per cm^3:

Cost = 381.7025 cm^3 × $5.00/cm^3

= $1908.5125

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

Read more about distance from angle of elevation at: https://brainly.com/question/25748640

#SPJ1

Answer:

the probability of a client owning stocks OR bonds is 0.825

Step-by-step explanation:

The computation of the probability of a client owning stocks OR bonds is given below:

= P(stocks) + P(bonds) - P(stocks and bonds)

= 0.60 + 0.50 - (0.55 × 0.50)

= 0.60 + 0.50 - 0.275

= 0.825

Hence, the probability of a client owning stocks OR bonds is 0.825

Answer:

x=-2

Step-by-step explanation:

\(125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2\)

Answer:

3.5/1

Step-by-step explanation:

y/x

3.5/1

Step-by-step explanation:

remember, a parallelogram is a quadrilateral with 2 pairs of parallel and equal sides, and 2 pairs of correspondingly equal angles. and its diagonals are intersecting each other in their midpoint.

with that in mind

(i)

because ABCD is a parallelogram, AD = BC, and AB = CD.

and angle A = angle C (and angle B = angle D).

therefore, as AE = FC, this also means that ED = BF.

via SAS (side angle side) it is clear that the triangles ABE and CDF are congruent.

therefore, EB = DF.

as ED is part of AD, and BF is part of BC, it is also clear that ED || BF.

together with ED = BF this means that EB || DF.

so, we have with BEDF 2 pairs of parallel and equal sides. and that is a parallelogram.

(j)

BCDE and ABCG are parallelograms.

so, BC = DE = AG, CD = BE, AB = CG.

due to the midpoint intersection rule of the diagonals of parallelograms, we also know

GE = CG = AB, DG = BG.

and as CG || AB, then also GE || AB.

together with AB = GE that means that AE = BG and AE || BG.

so, we have with ABGE again 2 pairs of parallel and equal sides. and that is a parallelogram.

Answer:

x = 13

Step-by-step explanation:

2(x + 18) and (3x + 79) are a linear pair and sum to 180° , that is

2(x + 18) + 3x + 79 = 180

2x + 36 + 3x + 79 = 180

5x + 115 = 180 ( subtract 115 from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

Answer:

x = 13

Step-by-step explanation:

Given angles are,

→ 3x + 79°

→ 2(x + 18)° = 2x + 36°

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of all angles in a line is 180°.

Forming the equation,

→ (3x + 79°) + (2x + 36°) = 180°

Then the value of x will be,

→ (3x + 79°) + (2x + 36°) = 180°

→ 3x + 79° + 2x + 36° = 180°

→ (3x + 2x) + (79 + 36)° = 180°

→ 5x + 115° = 180°

→ 5x = 180° - 115°

→ 5x = 65

→ x = 65/5

→ [ x = 13 ]

Hence, the value of x is 13.

3x+7+4=44|-4

3x+7=40|-7

3x=33|÷3

x=11

The area of the shaded region is  104 cm²

First, we need to know that the area of a circle is calculated using the formula;

A = πr²

Such that the parameters of the formula are;

First, let us find the area of the small circle

Area = 3.14 × 4²

Find the square value and multiply, we have;

Area = 50.24cm²

Area of the large circle = 3.14 × 7²

Find the square value and multiply

Area = 153. 86cm²

Area of the shaded region = Area of large circle - area of small circle

= 153.86 - 50.24

= 104 cm²

Learn more about area at: https://brainly.com/question/25292087

#SPJ1