A tortoise and hare are competing in a 1000 meter race. The function f and g are such that f(t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g(t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race. If we want to compute the number of seconds needed for the hare to finish the race, which procedures should be used?

Answers

Answer 1

Answer:

[tex]g(t) = 0[/tex]

Step-by-step explanation:

Given

[tex]d = 1000m[/tex]

[tex]f(t) \to[/tex] Tortoise

[tex]g(t) \to[/tex] Hare

Required

Time needed by the Hare to complete the race

The function [tex]g(t)[/tex] implies that the Hare is t seconds from completing the race.

When g(t) = 0, it means that the Hare has completed the race

So, to calculate the time needed by the Hare;

We simply equate g(t) to 0, then solve for t

A Tortoise And Hare Are Competing In A 1000 Meter Race. The Function F And G Are Such That F(t) Represents

Related Questions

42.
A toy store's percent of markup is 45%. A model train costs the store $100. Find the markaup.
(First gets brainliest)

Answers

Answer:

$68.97

Step-by-step explanation:

The equation you have to use is I=p(1.45)

If you have a 45% increase to 100, the original price was $68.97.

Please help me on this question, ignore the pencil marks.

The answer choices are
A. 4
B. 5
C. 6
D. 7
E. 8

Answers

D. 7 hope you are having a great night can u try to answer my question please

Steven earns extra money babysitting. He charges $35.00 for 4 hours and $70.00 for 8
hours.
Enter an equation to represent the relationship. Let x represent the number of hours
Steven babysits and y represent the amount he charges.
The equation is y =

Answers

Answer:

Step-by-step explanation:

35/4 = 8.75

70/8 = 8.75

x= 1 (hour) y = 8.75$

Answer:

y= 35x/4

Step-by-step explanation:

We can solve this by plotting a graph of these values of (4,35) and (8,70). We find that this graph is a straight line. Meaning we can solve it in the form Y = mx, where m is the gradient. there is no y intercept as our range is greater than x =0. So the gradient will be 70-35/8-4, which is 35/4. Simply substitute it into the formula to obtain y= 35x/4!

I’m having a hard time anyone knows??

Answers

Answer:

65

Step-by-step explanation:

See image below:)

9)
10
22x - 2
8x + 2
A) 5
C) 8
B) 6
D) 2
I

Answers

Answer:

x+6

Step-by-step explanation:

180 divided by 30=6

Divide 180 by 30
Which u get 6
30*6=180

The answer is B

In some country the budget for defense exceeded the budget for education by $629.1 billion. If x represents the budget for education, in billions of dollars, how can the budget for defense
be represented?
If x represents the budget for education, in billions of dollars, the budget for defense can be represented by

Answers

Answer:

y = defence

Step-by-step explanation:

x^2 + ( 47y (7 + 6) + 18.1)  is a starter point

x^2 +  (47y (7+6) + 3(6+ 1/30))  

x^2 + (611y + 3(6+1/30))

x^2 + (611y + 18.1)

x^2 + 629.1y

With x representing x billion and y representing y billion for defence

The budget for defense can be represented by the algebraic expression $ (x + 629.1) billion.

What is algebraic expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Let x represents the budget for education.

Given that the budget for defense exceeded the budget for education by $629.1 billion.

The budget for defense can be represented by (x + 629.1).

Learn more about algebraic expression here

https://brainly.com/question/953809

#SPJ2

1/4 es mayor o menor que 3/16

Answers

Answer:

1/4

Step-by-step explanation:

Have a nice day :)

ten un buen dia :)

Answer: 3/16 es menor than 1/4.

The medians of a triangle intersect at a point called the
A) centroid.
B) incenter.
C) midpoint.
D) median.

Answers

Answer:

Centroid

Step-by-step explanation:

A triangle only has three medians, which intersect at the centroid. A triangle also only has three vertices, which follows the three medians.

5.- Si en un gallinero contamos los picos, las crestas y las patas obtenemos 144, ¿Cuántas gallinas hay? Utiliza una
expresión algebraica.

Answers

Answer:

En total hay 36 gallinas en el gallinero.

Step-by-step explanation:

Dado que si en un gallinero contamos los picos, las crestas y las patas obtenemos 144, para determinar cuántas gallinas hay sabiendo que cada gallina tiene un pico, una cresta y dos patas, se debe realizar el siguiente cálculo:

X + X + 2X = 144

4X = 144

X = 144 / 4

X = 36

Por lo tanto, en total hay 36 gallinas en el gallinero.

PLEASE ANSWERR!!! WILL MARK YOU BRAINLYEST❤️❤️

(06.04 HC)
Every week Ben collects a few pounds of paper to recycle. The graph below shows the total number of pounds of paper (9) that Ben collected in a certain amount of time (), in
weeks
Paper Recycling
150
Amount of 120
Paper
90
Collected
(in pounds) 60
30
0 1 2 3 4 5
Number of Weeks
What would most likely be the total amount of paper, in pounds, Bon would collect in 10 weeks?
230
O 270
300
330

Answers

Answer:

Step-by-step explanation:

??????

The perimeter of a rectangle is 54 cm. Find its length and width if the length is represented
by 3x + 2 and the width is represented by 2x – 5.

HELP FAST!!

Answers

Answer:

length = 20

width = 7

Step-by-step explanation:

Perimeter of a rectangle is

P = 2(l+w)

54 = 2( 3x+2 + 2x-5)

Combine like terms

54 = 2( 5x -3)

Divide each side by 2

54/2 = 5x-3

27 = 5x-3

Add 3 to each side

27+3 = 5x-3+3

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

3x+2 = 3(6)+2 = 18+2 = 20

2x-5 = 2(6)-2 =12-5 =7

Answer:

Length = 20 cm

Width = 7 cm

Step-by-step explanation:

Given that :-

The perimeter of a rectangle is 54 cm. Its length and width if the length is represented by 3x + 2 and the width is represented by 2x – 5.

To find :-

Find the measures of length and width

Solution :-

To calculate the measures of length and width of rectangle . we gave given in question that perimeter of rectangle is 54 cm and length is represented by 3x + 2 and width is represented by 2x-5.

Using Formula :-

Perimeter of rectangle = 2 ( l + b )

Where,

l is the length and w is the width of rectangle.Perimeter = 54 cm

Substitute the values

54 cm = 2 ( 3x + 2 + 2x - 5 )

Combine like terms

54 cm = 2 ( 3 x + 2 x + 2 - 5)

54 cm = 2 ( 5 x -3)

Simplify both sides of the equation.

54 = 2( 5x− 3 )

54 = (2)(5x) + (2)(−3). .. ( Distribute )

54 = 10x +−6

54 = 10x −6

Flip the equation.

10x −6 = 54

Add 6 to both sides.

10x −6 + 6 = 54 + 6

10x = 60

Divide both sides by 10.

10x / 10 = 60 / 10

x = 6

Therefore ,

Length = 3x + 2 =3 ×6 + 2 = 18 + 2 = 20 cm

Width = 2x- 5 = 2 × 6 - 5 = 12 - 5 = 7 cm

A line has slope Four-thirds. Through which two points could this line pass? a. (24, 19), (8, 10) b. (10, 8), (16, 0) c. (28, 10), (22, 2) d. (4, 20), (0, 17) Please select the best answer from the choices provided A B C D

Answers

Answer:

a and c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

i got it right

state what additional information is required in order to know that the triangles are congruent for the reason given. NO LINKS!!!!​

Answers

Answer:

  29)  RD≅RS

  30)  KL≅YZ

Step-by-step explanation:

29) SSS means three sides must be congruent. Already sides TD and TS are marked congruent, and we know side TR is congruent to itself by the reflexive property. The third sides, RD and RS must be congruent if you're to use SSS.

__

30) HL means "hypotenuse, leg". The legs KJ and YX are already shown as congruent, so the hypotenuses KL and YZ must be congruent if you're to use HL.

You are the owner of a local fast food restaurant and you want to test whether your average number of customers per day is less than 500. You take a sample of 25 days and find that the average for these days is 480. You have been told by the corporate office that the population standard deviation of the number of customers is 95. What is the p-value for a hypothesis test at a 5% significance level

Answers

Answer:

The correct answer is "-1.05".

Step-by-step explanation:

Given that,

Sample size,

n = 25

Sample mean,

[tex]\bar X=480[/tex]

Population standard deviation,

[tex]\sigma=95[/tex]

Null hypothesis,

[tex]H_0:\mu=500[/tex]

Alternate hypothesis,

[tex]H_0:\mu>500[/tex]

Then,

The p-value will be:

⇒ [tex]Z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

By putting the values, we get

⇒     [tex]=\frac{480-500}{\frac{95}{\sqrt{25} } }[/tex]

⇒     [tex]=-\frac{100}{95}[/tex]

⇒     [tex]=-1.05[/tex]

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
х
4

Answers

Answer:

x = 2√2

Step-by-step explanation:

Since the triangle is isosceles, it means 2 of the angles are equal and 2 of the sides are also equal.

Now, since we see that it is also a right angled triangle, it means one angle is 90°.

Let the equal angles be a.

Thus;

a + a + 90 = 180 (since sum of angles in a triangle is 180)

2a + 90 = 180

2a = 180 - 90

2a = 90

a = 90/2

a = 45°

Now, using sine rule, we can find x. Thus;

x/sin 45 = 4/sin 90

sin 90 = 1

sin 45 = 1/√2

Thus;

x = (4 × 1/√2)/1

x = 4/√2

Let's rationalize the denominator to get;

x = (4/√2) × √2/√2

x = (4√2)/2

x = 2√2

[tex]what is the inverse of f(x)=2x+3[/tex]

Answers

5.3x is the answer because 5x1 .3

Area and circumference of this circle

Answers

Answer:

Step-by-step explanation:

Given: The radius is 6 cm

To find the area + circumference we need to use 2 formulas:

Area: pi* radius^2

Circumference: 2*pi*r

First we can do the area

I will use "pi" for pi instead of 3.14

pi * 6^2

= 36 pi

The area is 36 pi

Next, circumference

2 * pi *r

2*pi*6

= 12 pi

So the area is 36 pi, and the circumference is 12 pi

How many 6 oz servings are in a 1.125-quart pitcher of lemonade? There are servings. Enter an integer or decimal number[more..] Question Help: Message instructor Calculator​

Answers

Answer:

6

Step-by-step explanation:

1 qt = 4 cups

1 cup = 8 fl oz

1.125 qt * (4 cups)/(1 qt) * (8 fl oz)/(1 cup) = 36 fl oz

(36 fl oz)/(6 fl oz) = 6

Answer: 6 servings

A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold
for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the
difference in price per cubic inch?

Answers

Answer:

0.02

Step-by-step explanation:

5/69.12=0.0723

3/69.12=0.0434

0.0723-0.0434=0.0289

=0.02

Find the inverse of the function, f(x)=(x-6)^2, on the given domain of [6,infinity)​

Answers

Answer:

Step-by-step explanation:

x-6 ≥ 0

y = (x-6)²

x-6 = √y

x = 6+√y

f⁻¹(x) = 6+√x

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

The inverse is (-12,5).
inverse is -12 , 5 i think

Please write out the steps in explanation on how to solve these

1836-1347 and 4865-3956

Answers

1837
-1347
———-
490
Subtract the number starting from the right to the left. ANSWER: 490

Find the following list of data calculate a demean be the maid in and see the mouth or mothers of the numbers from
the picture

Answers

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

[tex]P(6)=\dfrac{1}{6}[/tex]

The probability of getting a 5 is:

[tex]P(5)=\dfrac{1}{6}[/tex]

The probability of getting a 4 is:

[tex]P(4)=\dfrac{1}{6}[/tex]

The probability of getting other numbers (1,2,3) is:

[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]

[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]

Now, find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]

[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]

[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]

On further simplification, we get

[tex]E(x)=\dfrac{10+7+4}{6}[/tex]

[tex]E(x)=\dfrac{21}{6}[/tex]

[tex]E(x)=3.5[/tex]

Hence, the expected winnings for this game are $3.50.

Find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 4 / 7

Step-by-step explanation:

tan A = opp side / adjacent side

tan A = 4 / 7

The weight of a product is normally distributed with a mean of 4 ounces and a variance of .25 squared ounces. What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces

Answers

Answer: 0.0228

Step-by-step explanation:

Let x be the weight of a product.

The probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces:

[tex]P(X>5)\\\\=P(\dfrac{X-Mean}{\sqrt{Variance}}>\dfrac{5-4}{\sqrt{0.25}})\\\\=P(Z>\dfrac{1}{0.5}) \ \ \ [z=\dfrac{X-Mean}{\sqrt{Variance}}]\\\\=P(z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ [\text{Using p value table}]\\\\=0.0228[/tex]

Hence, the required probability = 0.0228

What is the value of x?

Answers

Answer:

B.35 is the value of x in the figure

The mean of a distribution is 276, while the median is 318. Which of these
statements is likely to be true about the distribution?
A It is negatively skewed,
B. It is symmetric
C. It is the same throughout
D. It is positively skewed

Answers

Answer:

A.

Step-by-step explanation:

The mean is less than the median so it is skewed to the left or negatively skewed.

PLEASE HURRY i need an answer now please help

Answers

Answer:

2 hours

Step-by-step explanation:

10/50 * 10 = 2

Which expression is modeled by this arrangement of tiles? 1-1-1-1-1-1 ---- K V ----1-1-1-12 ET -1-1-1-1 1 183 -2-2​

Answers

Answer:

b is correct (-16 by 2)

Step-by-step explanation:

The area of a square rug is 64 ft.² what is the perimeter of the rug?

Answers

Answer:

[tex]32[/tex][tex] {ft}^{2} [/tex]

Step-by-step explanation:

The area of a square rug = 64 ft²

First we will find the side of square rug = [tex] {64}^{2} = {s}^{2} [/tex]

[tex] {s}^{2} = 8 [/tex]

Perimeter of the rug = [tex]4 \times 8 [/tex][tex] = 32[/tex]ft²

Hope it is helpful...
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