Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point

Answers

Answer 1

The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.

How to calculate the distance?

The distance covered by the spy in t hours will be calculated thus:

= 60 × t

= 60t

The distance covered by the special agent in t hours will be:

= 90 × t

= 90t

The difference in the distance between them every hour will be:

= 90t - 60t

= 30t

The distance between the spy and special agent when the chase begins will be:

= (2 × 60mph) - 0

= 120m - 0

= 120m

The time taken to catch the spy will be:

120 + 60t = 90t

90t - 60t = 120

30t = 120

t = 120/30 = 4

The special agent will catch the spy in 4 hours.

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Answer 2

Answer:

A: 60t

B: 90t

C: 30 mph

D: 120 miles away

E: 4 hours

F: 120 mph

Step-by-step explanation:


Related Questions

What is the volume of the cylinder in terms of pi 2 m 6m

Answers

Answer:

6πm³

Step-by-step explanation:

To work out the volume of a cylinder, use the formula πr²h

Next, substitute the known values into the equation (remember that the radius is half of the diameter):

volume = π × 1² × 6

The volume of the cylinder is 6πm³

Hope this helps!

the graph of the money jake earns while babysitting is shown below. put a scale on each axis that makes sense for this situation. explain why chose the scales you did.

Answers

Answer:

Hi uddin

Step-by-step explanation:

Do u remember me


I am the ghost of the uchiha i searched ur this question and found ur brainly thing

HELPP PLSSS!!!
Find the volume of the following objects.

Answers

Answer:

1. 314.159

2. 3,801.327

3. 1,407.433

please help QUICK I WILL GIVE YOU BRAINLIST

Answers

Answer:

P = 59°

Step-by-step explanation:

When you have coordinates of two points A(1, 2) and B(2,6) slope is:

Answers

Answer: 4

Step-by-step explanation:

Consider nick draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?

Answers

It will be 48/52 because there are 4 kings so 52-4=48

The probability of getting no kings is 0.7826

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The random experiment follows a hypergeometric distribution with,

N = 52 since there are 52 cards in a deck.

k = 4 since there are 4 kings in a deck.

n = 3 since we randomly select 3 cards from the deck.

x = 0 since we want no kings.

The probability of getting no kings is;

[tex]\rm = \dfrac{^4C_0 \times ^{48}C_3}{^{52}C_3}\\\\=\dfrac{1 \times 17296}{22100}\\\\= 0.78[/tex]

Hence, the probability of getting no kings is0.7826.

To know more about probability click the link given below.

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Find the derivative of 76x + 1 at x = 1.

Answers

Answer:

76

Step-by-step explanation:

We know the rule when finding the derivative :

dy/dx = nxⁿ⁻¹

Deriving

dy/dx = 76x + 1dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹dy/dx = 76The x = 1 becomes irrelevant because there is no 'x' present in the derivative

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]

[tex]\qquad \sf  \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:76 {x}^{0} + 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:76[/tex]

Here, we have got a constant number, therefore for any value of x it will be 76

Therefore, derivative of 76x + 1 at x = 1 is 76

Eliminate the parameter to complete the statements describing the equations
x = 3cos(t) - 2 and y = 2sin(t) + 1.
The rectangular form of this equation is
A. 4(x + 2)2 + 9(y – 1)2 = 36
B. 9(x + 2)2 + 4(y - 1)2 = 36
C. 4(x - 2)2 + 9(y + 1)2 = 36
D. 9(x - 2)2 + 4(y + 1)2 = 36
The equations represent a/an

Answers

Answer:

A

ellipse

Step-by-step explanation:

Answer:

1.) The rectangular form of this equation is (A)

.2.) The equations represent a/an (ellipse)

.

Step-by-step explanation:

Edge 2022


The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism's bases lies completely on one side of the cube.
What is the surface area of the solid formed?
Answer:

Answers

The surface area of the solid formed is about 598.33 in²

What is an area?

Area is the amount of space occupied by a two dimensional shape or object.

1 5/6 in = 11/6 in, 8 2/3 in = 26/3 in

Hence:

Surface area = 5(10 * 10) + (0.5 * 10 * 26/3) + 3(10 * 11/6) = 598.33 in²

The surface area of the solid formed is about 598.33 in²

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What is the value of y in the solution to the system of equations?
1 x + 2 y = 1
2x – 3y = -30
0-8
0-3
03
O 8

Answers

Answer: y = 32/7

Step-by-step explanation:

Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.

Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →

-7y = -32 → y = 32/7. Hope this helps!

HELP!
An animal shelter has a total of 20 cats, dogs, and
parrots. There are at least twice as many cats as dogs
and at least 3 times as many parrots as dogs. What is the
maximum number of dogs they could have?

Answers

Answer:

The answer is 4 dogs

Step-by-step explanation:

Let the number of dogs be x

=>The number of cats = 2x

=> The number of parrots = 3x

2x + 3x = 20

=>5x = 20

=>5x ÷ 5 = 20 ÷ 5

=>x = 4

They could have the maximum number of dogs is 4 dogs.

The given is,

An animal shelter has a total of 20 cats, dogs, and parrots.

There are at least twice as many cats as dogs and at least 3 times as many parrots as dogs.

What is a maximum number?

A maximum is a unique number for a given set of data. This number can be repeated, but there is only one maximum for a data set.

Let the number of dogs be x

The number of cats = 2x

The number of parrots = 3x

2x + 3x = 20

5x = 20

5x / 5 = 20 / 5

x = 4

Therefore the are 4 dogs.

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Jonah's lunch cost $27.50, he paid $1.65 sales tax. What is the percent of sales tax?

Answers

Answer:

6%

Step-by-step explanation:

To get sales tax, you multiply the percentage of sell tax to the total price. In this case, we were looking for the percent of sell tax so we needed to divide the total amount into the amount he payed in sells tax. You will get the decimal value so you will have to multiply it by 100 to get the percent.

Please help I will give brainliest.

Answers

Answer:

See below

Step-by-step explanation:

1. Two numbers that multiply to 17 and add to 18.

17 x 1 = 1717 + 1 = 181 and 17

2. Two numbers that multiply to 36 and add to -20.

-18 x -2 = 36-18 + -2 = -20-18 and -2

A deposit earns $102 after 36 months at a simple interest rate of 5%


What is the time and total value

Answers

Answer:

285.6

Step-by-step explanation:

formula= I=PRT

i=?

p=102

r=5

t=36 months

5=0.05

102(1+(0.05x36)=285.6

Answer:

Step-by-step explanation: 276.9

What is the slope for a line that is perpendicular to the line x = -6?

Answers

Answer:

There is not a slope perpendicular to the lie x = -6

Step-by-step explanation:

In this equation, you are given a line, x = -6.

This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.

Eg. If you have the line y = 2x

The reciprocal is y = 1/2x, the opposite means negative

So the slope that would intersect this line perpendicularly is y = -1/2x.

There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.

If it were an option, I would choose "no slope"

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

76

Step-by-step explanation:

I D K this is a puzzle

To turn a decimal into a percent you move the decimal 2 spaces to which direction.

Answers

Answer:

Right

Step-by-step explanation:

You move the decimal to the right to make the decimal a whole number :)

Example below:

0.25

Move 2 places to the right

25%

Have a great day!!

Please rate and mark brainiest!!

Answer: You move the decimal point two spaces to the right.

Step-by-step explanation:

Multiply by 100.

Can some please explain and solve how to do these unit rate equations?

Answers

(1) 20:4=5:1. 80:16 16 weeks since he’s doing 5per week, and 80 divided by 5 is 16.

(2) 6:3=2:1. 10:5 It will take 5 hours because she’s walking 2km per hour, so it would take 5 hours to walk 10km.

(3) 1:20 4:80 It will take 80 minutes because 20x4=80

(4) 1:1 20:20 it will take her 20 days since she makes one craft a day and she’s making 20.

(5) 12:1 84:7 84 cakes since there is 7 days in a week. 12x7=84

If you still need help, here’s the answers

m
A.
Which of the following equations is equivalent to p = + at?
a=t(p-on)
t=a(p)
B.
=
m
גנן
C.
1 =
p-at
D.
r
m =
p-at

Answers

Answer:

M Because the evolution of algebraic combinations is disordered and Fibonacci is wrong


coach wilson hopes to have no more than 15 turnovers during today's basketball game which inequality best represents this situation



Answers are A t is greater than or equal to 15. B is t is greater than 15. C is t less than 15. D is t less than or equal to 15

Answers

Answer:

it is D

Step-by-step explanation:

since he wants no more than 15

Answer:

D

Step-by-step explanation:

Since it says "no more than 15" coach Wilson wants either 15 turnovers or less in his game. Therefore, t is equal to less than or equal to 15.

Write down the irrational numbers from the following.

1/3, 0.65, square root 6, 2/5, cube root 8, pie​

Answers

As we can see the value of root 6 does not terminate after 3 decimal places. It can still be extended further. Hence, this makes √6 an irrational number.

hope it will help you..


4 ft
4 ft
3.5 ft
7 ft
4 ft

Answers

Answer:

The answer is 1,568 in a multiplication problem.

4 x 4 x 4 = 64

3.5 x 7 = 24.5

64 x 24.5 = 1,568

Let me know if this was not what you were looking for, I may or may not be able to change it.

The answer is 4ft so b

what is the answer for this?

Answers

Answer:

0.729 cubic millimeters

Step-by-step explanation:

Here,

Length ( l ) = 0.9 mm

Base ( b ) = 0.9 mm

Height ( h ) = 0.9 mm

l = b = h = 0.9 mm = a

To find : Volume

This shape is a cube.

Formula : -

Volume of cube = a³

Volume of cube

= 0.9³

= 0.9 x 0.9 x 0.9

= 0.729 cubic milimeters

Answer:

Formula for volume of cube;

V = [tex]s^{3}[/tex]

Where 's' represents one side of a cube which is being cubed.

or

V = w · l · h

Where 'w' stands for the width, 'l' is the length, and 'h' represents the height.

For this, I'll be using the formula [tex]s^{3}[/tex].

What we know:

Width = 0.9 mmLength = 0.9 mmHeight = 0.9 mm

Use one of these sides to substitute for 's';

V = [tex]s^{3}[/tex]

V = 0.9^3 ← (The " ^ " symbol is another way of showing to the power of.)

V = (0.9 · 0.9 · 0.9)

V = 0.729 mm, the volume of this cube is 0.729 cubic millimetres.

PLS PLS PLS HELP ME!!!​

Answers

Answer:

[tex]x = 180 - (37 + 53)[/tex]

is the answer

You have 80 grams of tellurium how much will be left after 8 months if it’s half-life is 2 months?

Answers

Answer:

5 grams.

Step-by-step explanation:

First, find out how many half-lives have passed. Divide the number of months by the length of a half-life.

8÷2=4

4 half-lives have passed.

Now figure out how much tellurium will be left after 4 half-lives have passed. Multiply the starting amount of tellurium by [tex]\frac{1}{2}[/tex] a total of 4 times.

80 · [tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]  = 5

That calculation could also be written with exponents

80 · [tex](\frac{1}{2} )^{4}[/tex] = 5

After 4 half-lives, the amount of tellurium left will be 5 grams.

this question is to hard

Answers

Answer:

A

Step-by-step explanation:

it aligns with the other dots, and you can do exactly 1-1

Answer:

C. (9,4.5)

Step-by-step explanation:

with each ordered pair, the y axis is half of the x axis.

When the cpi is 185, an electric razor cost $57.81. what is the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent? a. $33.44 b. $31.25 c. $26.56 d. $6.88

Answers

The difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

What is consumer price index?

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex]  = cost of market basket in base period

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

In 1983, CPI of considered razor = 185, and price = $57.81In some other year, the CPI of considered razor = 207, and price = $ ?? (to find).

Let the base price of the razor in some base period be [tex]C_0[/tex]  

Then, for year 1983, we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\185= \dfrac{57.81}{C_0} \times 100\\\\C_0 \approx 31.248 \: \text{(in dollars)}[/tex]

Now for the year when CPI is 207, let the price of th razor be $x, then we get:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\207 \approx \dfrac{x}{31.248} \times 100\\\\x \approx 64.683 \: \text{(in dollars)}[/tex]

The difference between the two prices is:

[tex]d \approx 64.683 - 57.81 = 6.87 \approx 6.88\: \text{(in dollars)}[/tex]

Thus, the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

Learn more about consumer price index here:

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Answer:

D

Step-by-step explanation:

The measure of an angle is 27. 5°. What is the measure of its complementary angle?

Answers

Answer:

62.5 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

So the answer is 90 - 27.5.

Help with any questions

Answers

1.) right triangle, as it has a right angle

2.) scalene triangle no equal sides

hope this helps

The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 39 gallons of water and Hank's aquarium hold 51 gallons of water. The aquarium holds two types of fish, fish A and fish B. If Marta bought 3 of fish A and 2 of fish B, and Hank bought 3 of fish A and 4 of fish B, how long is fish A and how long is fish B?

Answers

Answer: Fish A: 9 inches ; Fish B: 6 inches

Step-by-step explanation:

This can be turned into a systems of equation, where x equals the length of fish A and y equals the length of fish B:

3x + 2y = 39 → -3x - 2y = -39

3x + 4y = 51 → 3x +4y = 51

Combine: 0 + 2y = 12 → y = 6 inches.

Plug back in: 3x + 2(6) = 39 → 3x = 27 → x = 9 inches.

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