Mathematics High School

Starting at sea level, a turtle descends at a constant rate to a depth of -yard relative to sea level in minute.
The turtle continues descending at this same rate.
What is the turtle's depth relative to sea level after the first minute?
Enter your answer as a simplified mixed number in the box

Answers

Answer 1

The turtle's depth relative to sea level after the first minute is 1.2 yards.

Given,

The depth where the turtle descends, d = -3/4 yards

The speed of turtle relative to sea level, t = 5/8 minutes.

We have to find the turtle's depth relative to sea level after the first minute.

The rate at which the turtle descends, r = d/t

r = d/t

r = (-3/4) / (5/8)

r = -3/4 × 8/5

r = -6/5 yards/minute

r = -1.2 yards/min

Now, the depth of turtle after the one minute, D = rt

Where, r = -1.2 yards/min and t = 1 min

Then,

D = -1.2 × 1 = -1.2 yards

That is,

The turtle's depth relative to sea level after the first minute is 1.2 yards

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Related Questions

What is the y-intercept?

Answers

Please provide a picture, I'm not seeing one.

The y-intercept is when the x-value equals zero. (0, y)

You can find the y intercept if you plus in 0 for the c value

PLEASE HELP!!!!!! It’s algebra

Answers

Answer:

Y=3X-4

Step-by-step explanation:

1. Find the slope using matching (x,y) values. (5,11) and (2,2) for example. (Change in Y)/(Change in X) [tex]\frac{11-2}{5-2}[/tex] = [tex]\frac{9}{3}[/tex] = 3

2. Use the point-slope form to find the equation. Pick a matching (x,y) value. (2,2) for example. and plug it in for Y₁ and X₁ in the equation Y-Y₁=M(X-X₁)

with M as the slope. Y-2=3(X-2).

3. Simplify

Y-2=3X-6

Y=3X-4

The graph below represents the number
of containers and liters of water contained
in the containers. What is the constant of
proportionality?

Answers

The answer is: 4
Show work: 40-20/10-5

Write an equation that represents the line.
Use exact
numbers.

Answers

Answer:

y = -1/3x -3.5

Step-by-step explanation:

line interesects y axis at -3.5, distance between dots is down 1 and forward 3

3.123=9.369.1/3 is is true or false

Answers

This answer is false

The temperature of a day at the end of winter starts in the morning at -2 degrees Fahrenheit. The weather report notes that the temperature increases 10 degrees
by midday. At 5:00 pm, the temperature has doubled since midday. What was the temperature at 5:00 pm?

A 24 degrees

B16 degrees

C-16 degrees

D10 degrees

Answers

Answer:

B. 16 degrees

Step-by-step explanation:

First, we find temperature at miday:

- 2 (Temperature at morning) + 10 (Increase in temperature by midday) = 8 degrees (Temperature at midday)

Now, for temperature at 5:00 pm:

8 x 2 (At 5 pm temperature is double since midday) = 16 degrees (Temperature at 5:00 pm)

Answer:

B 16 degrees

Step-by-step explanation:

Find the temperature

We start at -2

We increase 10 degrees by noon

-2 + 10 = 8

at 5pm the temperature doubles

8*2 = 16

2- x+2/x-3 - x-6/x+3

A=
B=

It can be written in the form is like ax+b/x^2-9
so we only need the A and B.

Please reply to this ASAP

Answers

Step-by-step explanation:

so, if I understand your text correctly, we need to bring

2 - (x+2)/(x-3) - (x-6)/(x+3)

into a form

(ax + b)/(x² - 9)

what we notice immediately is

(x+3)(x-3) = x² - 9

that makes sense, as we want to transform all terms into fractions with the same denominator.

and the necessary "criss-cross" multiplication leads to (x² -9) as denominator.

so, let's transform every term to a fraction with that denominator, and then we add or subtract them all up as per the original expression.

2 :

multiply by (x²-9)/(x²-9)

2(x²-9)/(x²-9) = (2x²-18)/(x²-9)

(x+2)/(x-3) :

multiply by (x+3)/(x+3)

(x+2)(x+3)/(x²-9) = (x²+3x+2x+6)/(x²-9) =

= (x²+5x+6)/(x²-9)

(x-6)/(x+3) :

multiply by (x-3)/(x-3)

(x-6)(x-3)/(x²-9) = (x²-3x-6x+18)/(x²-9) =

= (x²-9x+18)/(x²-9)

for the whole expression we get then

(2x²-18)/(x²-9) - (x²+5x+6)/(x²-9) - (x²-9x+18)/(x²-9) =

= (2x²-x²-x² -5x+9x -18-6-18)/(x²-9) =

= ( 0 + 4x - 42 )/(x²-9)

a = 4

b = -42

Sarah invests £400 at 3%
interest for 6 years
Circle the correct calculation to
work out how much she has now.

Answers

Answer: £900

Step-by-step explanation:

Evaluate the following equation when x = {1, 2, 3, 4, 5} by filling in the table with the correct values for the function f (x) = (-3)^x

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Step-by-step explanation:

In x you can put the value which can given in question.

PLEASE HELP ME!!! *correct answer will get brainlist*

Answers

I think y=4 and x=(-2)

wo horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain or show your reasoning.

Answers

Answer:

Step-by-step explanation:

Multiply 32 by 5 = 160

Multiply 28 by 5 =140

subtract 140 from 160

Answer Horse A would have traveled 20 feet farther the Horse B

It's possible to build a triangle with side lengths of 3, 3, and 9.
O A. True
O B. False

Answers

it is possible to make a triangle with the sides 3, 3 and 9

true

At one store Roberto bought 10 packages of batteries. Each package had 24 batteries. At another store, he bought 10 packages of batteries, but each

Answers

The answer is 240 trust me I got it correct

1.if the m∠7 = 115° , find the measure of ∠2
Show your work

Answers

Answer: The measure of is 115°.

Step-by-step explanation:

Now, assuming those angles are supplementary, then

m<7 + m<2 + 180

Because, supplementary angles sum 180\°, due to their position on a straight angle.

We know by given that m<7 = 115 , replacing this value, we have

115 + m<2 + 180

m<2 = 180 - 115

m<2 + 65

Step-by-step explanation:

Which 3 measurements could be the dimensions of a right triangle?
(a² + b² = c²)

Answers

Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

1/2 + 1/4= write as a fraction and as a decimal.

Answers

1/2 + 1/4 =

2/4 + 1/4 = = 3/4 = 0.75

which measurements are equivalent to 3 yards

Answers

The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

Danielle earns $36.80 for 4 hours of yardwork. How much does Danielle earn for 10 hours of yardwork

Answers

Firstly he earns 36.8 dollars in 4 hours
So how much does he earn per hour?
Decide 36.8 by 4 => 9.2 dollars
Now he earns 9.2 dollars for every he so he’ll earn 9.2(10) I.e. 92 dollars in 10 hours

$36.80 x 2 = $73.60

$36.80 / 2 = $18.40

4hr + 4hr + 2hr = 10hr

$73.60 + $73.60 + $18.40 = $165.60

Write the plural form of the noun. 1. menu 2. speech 3. theory 4. era Math Write the given number in word form. 9. standard form: 290.1 word form: 10. standard form: 7,035.486 word form: 5. lady 6. mailbox 7. patio 8. apostrophe

Answers

Menus, speeches, theories, eras, ladies, mailboxes, patios, apostrophes are the plural forms of all the specified nouns as provided in the question.

What is Word form?

The written format or the word format of any number provided is called as its word form.

In this question, we are asked to find out the word form of 290.1 and 7,035.486.

290.1 in word form can be written as Two Hundred and ninety point one.

7,035.486 in word form can be written as Seven thousand and thirty-five point four eight six.

What is Plural form?

Any word or noun that has to be described such that it is present more than one in number is represented by its plural form. Almost all of the noun words have their plural forms.

The plural forms of the asked nouns have been specified as above already.

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PLEASE HELP ME I DON'T UNDERSTAND

Answers

Answer:

(0, 3)

Step-by-step explanation:

-x+2y=6
-x=6+2y
x=-6+2y

-6+2y+2y=6
-6+4y=6
4y=12
y=3

-x+2(3) = 6
-x+6=6
-x=0
x=0

Answer: 0, 3

1 (a). Determine if each of the following is true or false. Explain your reasoning.i. There are 12 cubic inches in a cubic foot.ii. There are 144 squares inches in a square foot. iii. If I triple the length and width of a rectangle, then the area increase by a factor of 3.iv. If I triple the length and width and height of a cube, then the volume increases by a factor of 27.

Answers

(i)

1 cubic foot is equivalent to 1728 cubic inches, this is why the statement is false.

(ii)

1 square foot is equivalent to 144 square inches, so the second statement is also false.

(iii)

The third statement is also false because if we triple both dimensions of a rectangle, the area will be increased by a factor of 9.

[tex]A=3w\times3l=9wl[/tex](iv)

This statement is true because when we multiply 3x3x3 we actually get a factor of 27

[tex]V=3w\times3l\times3h=27\text{wlh}[/tex]

4y+3z=19
-x+z=27
x-3y=-19

Solve the system of equations

Answers

4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
divide
4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
by
2
2
.
4
y
+
3
z
=
19
−
x
+
z
=
7
x
−
3
y
=
−
19

Answer:

x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

Solve the following system:

{3 z + 4 y = 19 | (equation 1)

z - x = 27 | (equation 2)

-3 y + x = -19 | (equation 3)

Swap equation 1 with equation 2: