3. There are three scuba divers. Mr. Burnam is at 5 m below sea level. Mr. Loureiro and Mr. Desrivieres are both 3 m away from Mr. Burnam, but they are in different locations. Which of the following equations could show the depth of Mr. Loureiro or Mr. Desrivieres? Select all that apply. T a. -5+3=-2 b. -5+3 =-2 - 5+ 3 =-8 d. -5+-3 2-8

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

Answer:

12\(x^{3}\) - 14x² + 8x - 2

Step-by-step explanation:

1. Distribute the parentheses:

4x(3x²) + 4x(-2x) + 4x(1) + (-2)(3x²) + (-2)(-2x) + (-2)(1)

2. Multiply:

12\(x^{3}\) + (-8x²) + 4x + -6x² + 4x + (-2)

3. Combine like terms:

12\(x^{3}\) - 14x² + 8x -2

hope this helps!

Step-by-step explanation:

3÷5%=3÷5÷100

3÷5×1÷ 100

3÷5=3÷500

therefore 3÷5%=3÷500

At the end of 28years the neurosurgeon will have an amount of $115875.00

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

The amount earned or paid after compounded interest is given as A = P(1+r/100)^t

Where P is the principal saved

t is the time for saving

and r is the rate of interest

Here t = 28 years

P = 25,000

and r = 5.63% per annum

therefore A = P(1+r/100)^t

A = 25000(1+5.63/100)^28

A = 25000(1+0.0563)^28

A = 25000(1.0563)^28

A = 25000× 4.635

A= $115875.00

This means at the end of 28 years, the neurosurgeon will have a amount of $115875.00

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Answer:

C. It is not proportional because it is not a straight line.

Step-by-step explanation:

You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.

------> The Answer Is C <------

Hope this helps have a good day :D

Answer:

it will take 12 hours

Step-by-step expl

18 cm fkfkjdkdkfkdfnjdfjjrjdjr

Answer:

225 cm 2

Step-by-step explanation:

Answer:

Surface Area = 6* (5 inches) 2 = 6* (25 square inches)

Step-by-step explanation:

The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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Step-by-step explanation:

every student will get 7 slices ....I think si

Answer:

y=4x+3

Step-by-step explanation:

y=mx+b

y-7=4(x-1)

y-7=4x-4

y=4x+7-4

y=4x+3

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

Answer:

10/12

Step-by-step explanation:

Let's work backwards.

We decrease both 6 and 7 by one, then we get 5 and 6. So our new fraction is 5/6. We know that the denominator is two more than the numerator, so we have to pick numbers that are multiples of 5 and 6 and make it so the denominator is two more than the numerator.

Lucky for us we only have to multiply 5 and 6 by 2 to get an answer that works:

10/12

Answer:

a

Step-by-step explanation:

28/7=4

24/8=3

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

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9514 1404 393

Answer:

  A, E

Step-by-step explanation:

You are correct that the appropriate relationship is ...

  g = 0.4t . . . . choice A

You are also correct that an equivalent relationship is ...

  t = 2.5g . . . . choice D

However, when we say gallons are proportional to seconds, we usually expect that to be written ...

  g = kt . . . . for some value of k

__

We note that another equivalent is ...

  g = 2/5t . . . . choice E

The appropriate choices are probably A and E. Choice D might be argued to be correct, but you could very well lose that argument to someone who prefers a "g = " form of the relationship.

Answer:

Step-by-step explanation:

The numerical value of the given log expression is -73.

From definitions of logarithms, we know that :

\(log(a*b) = log(a) + log(b)\\log(a / b) = log(a) - log(b)\)

\(log(a^n) = n*log(a)\)

Therefore,

\(log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = \frac{4}{3}*log(b) - 8*log(a) - 5*log(c)\)

substituting the given values

\(log(a) = 10\\log(b) = 9\\log(c) = 1\\\)

we get the value of the given expression

\(log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = \frac{4}{3}*9 - 8*10 - 5*1\)

\(log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = 12 - 80 - 5\)

\(log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = -73\)

Therefore the numerical value of the given log expression is -73.

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Answer:

Option (2)

Step-by-step explanation:

Let the savings of Joel = $y

And the savings of Matt = $x

They jointly save at least $50 to buy a special present.

Therefore, equation for this condition will be,

x + y ≥ 50 --------(1)

Joel saves twice as much as Matt.

Equation for this condition will be,

y = 2x ------ (2)

By substituting the value of 'y' in the equation,

x + 2x ≥ 50

Therefore, Option (2) will be the answer.

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

1. Area of the figure = 702 square feet.

Perimeter = 114 feet

2. Area of the figure = 20 square inches.

Perimeter = 24 inches.

Area of a rectangle = length * width

Perimeter of a shape = length of all the surrounding of a figure.

1. Area = area of rectangle 1 + area of rectangle 2 = 27 * 24 + 9 * 6

= 702 square feet.

Perimeter = 30 + 27 + 24 + 18 + 6 + 9 = 114 feet

2. Area = area of rectangle 1 + area of rectangle 2 = 7 * 2 + 3 * 2

= 20 square inches.

Perimeter = 7 + 2 + 3 + 3 + 2 + 3 + 2 + 2

= 24 inches.

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The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

Simplifying this equation, we get:

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

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Answer:

Umm can you please rewrite that

Step-by-step explanation:

its not really anything to simplfy

I am pretty sure it is B. Sorry if I am wrong

Answer:

y=2/7x

Step-by-step explanation:

trust me pls

The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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