After swimming 60 feet below the surface of water, a whale swims up 30 feet. Use a number line to help you create an equation that shows the new location of the whale in relation to the water service.

A. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.
B. The equation is -60 + (-30) = -30. The whale is 30 feet below the water surface.
C. The equation is -60 + 30 = -30. The whale is 30 feet below the water surface.
D. The equation is -60 + 30 = -90. The whale is 90 feet below the water surface.​

Answers

Answer 1

Answer:

C. The equation is -60 + 30 = -30. The whale is 30 feet below the water surface

Step-by-step explanation:

At the surface of the water in the swimming pool, the height of elevation is 0.

Thus, if you swim 60 ft below the surface, it means you are going in the negative direction when we consider a number line. Thus, distance = -60 ft

Now, when you swim back up by 30 ft, it is in the positive direction. Thus, total distance is now; -60 + 30 = -30 ft

Thus value denotes a negative direction and it means you are 30 ft below the surface of the water.


Related Questions

Simplify expression below (7 + i)-(6-4)

Answers

Answer:

5 + i

Step-by-step explanation:

Answer:

5+i is the answer

Step-by-step explanation:

cause 6-4=2-7=5+i

Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and a half centimeters and three and a half centimeters. The altitude of the trapezoid is 4 centimeters.

Answers

Answer:

[tex]10cm^2[/tex]

Step-by-step explanation:

We are given that

Two parallel sides of trapezoid are

[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]

[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

Area of trapezoid=[tex]\frac{1}{2}(a+b)h[/tex]

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]

Area of trapezoid=[tex]10cm^2[/tex]

explain how to find cot, sec, csc

Answers

Answer:

The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4

plz give brainliest

Step-by-step explanation:

The person on top is right

A farm lets you pick 2 pounds of blueberries for 5 dollars.

1. the unit rate of dollars to pounds is ___ dollars per 1 pound

2. the unit rate of pounds to dollars is ___ pounds per 1 dollar

Answers

I understand but I don’t know the right answer

Very much struggling with geometry right now, would appreciate the help ❤️

Answers

Answer: x= 30

Step-by-step explanation:

These are corresponding angles which means they are equal. (2x+25) = (3x-5). Subtract 2x from both sides. 25 = x-5. Add 5 to both sides. 30 = x

Plz help due tomorrow

Answers

Answer:

4n+2=15

Step-by-step explanation:

If you count 4 n's and then add 2, the bar is the same length as the 15 bar. ~logic~

Porqué el valor del coeficiente de la variable al cuadrado de una función cuadratica no puede ser cero?

Answers

Answer:

Ver respuesta abajo

Step-by-step explanation:

Una ecuación cuadrática es una ecuación que tiene la siguiente forma:

ax² + bx + c = 0

Donde:

a, b y c: coeficientes numéricos que acompañan a la incógnita.

Ahora bien, una función cuadrática es basicamente la misma ecuación cuadrática pero representada graficamente en un plano cartesiano.

Para que una ecuación o función sea cuadrática es absolutamente necesario y obligatorio que su expresión en forma de ecuación tenga el elemento "ax²", pues el "cuadrado" que es el exponente 2 que eleva la incógnita es lo que le da la característica de ecuación o función cuadrática.

Si el coeficiente que acompaña al x², es decir, el valor de a es cero, automaticamente pierde la condición de ser una función o ecuación cuadrática pues dicho término se hace cero su valor. En otras palabras, si x es un número cualquiera y está representado como incógnita, ¿qué sucede cuando multiplicas cualquier número por cero?, en este caso, el resultado es igual a cero:

Ejemplo:

0x² = 0 * x² = 0.

Por tanto, si el término cuadrático se hace cero, ya pierde la condición de cuadraticidad, y su gráfico no sería de forma parabólica, solo quedaría los términos bx + c, pero eso ya pertenece a una ecuación lineal o función afín.

Espero esto te sirva.

Please solve needed as soon as possible thank you I really appreciate it

Answers

Answer:

143

Step-by-step explanation:

Substitute n=3 into the problem

6([tex]3^{3}[/tex])-2([tex]3^{2}[/tex]) +3-4

Then figure out squared and power by 3

6(27)-2(9)+3-4

Next multiply

162-18+3-4

Finally, add and subtract

144+3=147

147-4=143

PLEASE HELP
1. Horizontal streets are parallel to each other. The angle measure of the two streets that intersect at Cathy’s Coffee is 95 degrees.

(a) Suppose you are traveling northeast from Ivan’s Ice Cream and turns West at Isabel’s Ice Cream. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(b) Suppose you are traveling southwest from Beverly’s Burgers and turn East at Bob’s Burgers. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(c) Suppose you are traveling southwest from Beverly’s Burgers and turn West at Connie’s Coffee. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
Answer:

Answers

A)

45 degrees, and it is congruent.

90/2 = 45

Since it is an Alternate Interior, it is congruent.

B)

45 degrees. It is also congruent since it is an Alternate Exterior.

C)

135 degrees. It is a linear angle/linear pair.

180-45=135

I actually worked really hard for this so please consider that. I couldn't find help anywhere.

Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9

Answers

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

[tex]x=9[/tex]

Now,

[tex]CD=2x[/tex]

[tex]CD=2(9)[/tex]

[tex]CD=18[/tex]

And,

[tex]CE=CD+DE[/tex]

[tex]CE=18+9[/tex]

[tex]CE=27[/tex]

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

The measure of CD and CE are 18 and 27 respectively

From the given diagram, the following are true:

CD = 2DE

Given that DE = 9

CD = 2(9)

CD = 18

Similarly;

CE = CD + DE

CE = 18 + 9

CE = 27

Hence the measure of CD and CE are 18 and 27 respectively

Learn more on centroid here: https://brainly.com/question/25845737

Can someone please help me solve these?

Answers

9514 1404 393

Answer:

  (c)  h(x) = (3x +4)(2x +1)

Step-by-step explanation:

The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.

The middle term (11x) is only created by the third choice:

  (3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)

  = 6x^2 +3x +8x +4

  = 6x^2 +11x +4 . . . . matches the given h(x)

Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123

Answers

Answer:

A) $87.5

B) $164

Step-by-step explanation:

A) Marked Price (Original Price)

= [tex]\frac{Sale Price}{1 -Discount}[/tex]

=[tex]\frac{77}{1-0.12}[/tex]

=87.5

B) Marked Price (Original Price)

=[tex]\frac{Sale Price}{1 -Discount}[/tex]

=[tex]\frac{123}{1-0.25}[/tex]

=164

HElppppppppppp
I don’t get it

Answers

Answer:

You have to use a cacolator. 5 boxes and its 9 pounds of beans in each. 5x9 is 45 pounds. Rice should be the 80 pounds hope that helps

Step-by-step explanation:

2.5( 2 + 2) x (2^2 + 2^2) =

Answers

Answer:

80

Step-by-step explanation:

2.5(2+2) x (2^2+2^2)

2.5(4) x (4+4)

10 x 8

80

your answer is 80 :)

Answer:

80

Hope this helps :3

PLEASE I NEED THE ANSWER NOW 11 POINTS FOR CORRECT ANSWER BRAINLIEST TOO

Answers

Answer:

I believe its 3.3m

Step-by-step explanation:

I haven't taken geometry in a few years so sorry if its wrong

2.2/0.3= 7.3

This means that the shadow of the tree is x7.3 bigger than the cat’s shadow.

So you do 0.45x7.3=3.28m (you can round it to 3.3m)

This means the height of the tree is 3.3m!

Please help! Will mark brainliest when I get the results back ;)

Answers

Answer:

13.7ft^2

Step-by-step explanation:

Area for triangle:

The formula for the area of a triangle in this scenario is area=(b*h)/2

The base length is 3.6ft and the height is 4.8ft. We can now substitute these values into the equation. So:

area=(3.6*4.8)/2

area=8.64ft^2 for the triangle

Area for semi-circle:

The formula for the area of a circle is area=pi*r^2. To find the area of the semi-circle, we can half the area of the circle at the end.

The question says to use 3.14 for the value of pi.

The diameter is given as 3.6ft, so to find the radius, we simply divide the diameter by 2; so 3.6/2=1.8ft for the radius

Now, we can just substitute these values into the equation above. So:

area=3.14*(1.8)^2

area=3.14*3.24

area=10.1736ft^2 (DO NOT ROUND THIS ANSWER!!).

However, this area is for the COMPLETE circle. We want the area for the semicircle shown above. Therefore, divide the circle area by 2. So:

10.1736/2=5.0868ft^2 for the semicircle.

Total area of shape

Now we have the area of the two separate shapes, we can simply add them together. So:

8.64ft^2 + 5.0868ft^2 = 13.7268ft^2 altogether (unrounded)

Now, finally we must round to 1/10, or to 1 decimal place. Therefore, the final value for the area would be 13.7ft^2.

Hope this helped!!

In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.

Answers

9514 1404 393

Answer:

  4.3 in

Step-by-step explanation:

The Law of Cosines is applicable when you have two sides and the angle between them. The third side satisfies ...

  f² = d² + e² -2de·cos(F)

  f² = 6.4² + 7.8² -2·6.4·7.8·cos(33°) ≈ 18.0671

  f ≈ √18.0671 ≈ 4.2505

The length of f is about 4.3 inches.

Which statement about rational numbers is false?
O A. They can be written as terminating decimals.
B. They can be written as ratios of two integers.
O C. They can be written as fractions whose equivalen decimals repeat.
O
D. They can be written as fractions with a denominator of 0.

Answers

I believe it’s D because any fraction with 0 in the denominator is undefined

Can someone please answer my question Geometric Sequence:
3, 6, 12, 24, …

Answers

Answer:

48

Step-by-step explanation:

You multiply by 2 each time

I believe it is multiplying by 2 each time.

3 x 2 = 6

6 x 2 = 12

12 x 2 = 24

So if this was true to continue we would just multiply by 2....

24 x 2 = 48

48 x 2 = 96

96 x 2 = 192

192 x 2 = 384

384 x 2 = 768

and continue for as long as you need to go....

Hope this helped!

In rectangle LONG, LN = 40 and ON=24. Find LO.​

Answers

Answer: LN 40

Step-by-step explanation: Because thin of the answers and how to do it

Answer: LN 40

Step-by-step explanation:

How to tell the difference between multiplication and division word problems?

Answers

Answer:

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication

multiplication word problems would usually have- by, product, times, triple, double, groups of

division word problems what are usually have- equal parts, divide, Half of, ratio, quotient, out of



hope this helps :)

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?


16



17.5



20.5



22



35

Answers

Answer:

16 million

Step-by-step explanation:

see the explanation attached above

The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain

Answers

Answer:

P = 4(2x + 5)

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Step-by-step explanation:

Given that:

Perimeter of square = 4 * s

Where s = side length

If perimeter, P = 8x + 20

Then,

4s = 8x + 20

Divide both sides by 4

4s / 4 = (8x + 20) / 4

s = 2x + 5

P = 4s

P = 4(2x + 5)

Or

P = 2x + 5 in 4 places

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Please answer ASAP i need this immediately

Answers

Answer:

2/3 is less than 1 1/15

Step-by-step explanation:

2/3 * 1 3/5 = 1 1/15

2/3 < 1 1/15

Answer:

>

Step-by-step explanation:

2 over 3 is less than 1 and 3 over 5

Using The graph below identify the axis of symmetry for the parabola below 

Answers

Answer:

x=-3

Step-by-step explanation:

The axis of symmetry is the line that separates a parabola directly in half. It is measure on x axis because it is being split in terms of that number. Next, you identify the origin and find exactly where the parabola is in half and that is your answer. Another way to do this would be to identify the vertex of the parabola. The answer is the x coordinate of the location of the vertex. (The highest point of a parabola.)

Roger jarred 15 liters of jam after 2 days. How much jam did Roger jar if he spent 6 days making jam?​

Answers

Answer: 45 liters

Step-by-step explanation:

If Roger jars 15 liters of jam in 2 days, we can divide to see how much liters of jam Roger can jar in 1 day. We can divide 15 by 2 to find how much jam can be jarred in one day.

15 / 2 = 7.5.

Roger can jar 7.5 liters of jam every day.

Now we can multiply 7.5 by 6 to find how much jam Roger can jar at the end of 6 days.

7.5 x 6 = 45.

Therefore, Roger can jar 45 liters of jam in 6 days.

Question 7 of 10
The radius of Saturn is 60,268 kilometers. What is its diameter?
A. 30,134 kilometers
B. 120,536 kilometers
C. 60,500 kilometers
D. 30,528 kilometers

Answers

Answer:

I would believe the diameter would be B, if not A

Step-by-step explanation:

Answer:

the answer for this problem should be 120,536

For what value of x does f(x) = -3? *
.

Answers

Answer:

3

Step-by-step explanation:

1 Find the x-intercept as a point (x,y).
I'm not quite sure what to do can someome please help me quick. I'll make brainliest​

Answers

Answer:

x,0

Step-by-step explanation:

x-intercept just means where the line crosses the x axis. the x-intercept is x,0

Answer:

X intercept is ( -1 , 2)

Step-by-step explanation:

Follow the steps below to create an expression:

Start with the variable x
. Multiply by 4
. Add 3
. Multiply by 2
Subtract 7
Please help me out

Answers

Answer:

4x+3(2)-7

Step-by-step explanation:

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