Cheetahs have been clocked at a top speed of approximately 102.6 ft/s. Gazelles are a main
part of a cheetah's diet. Gazelles have been clocked at a top speed of approximately 73.3 ft/s.
Suppose a cheetah sees a gazelle across the plains of Africa, 500 feet away, and begins to
run after it. The gazelle spots the cheetah and begins running at the same time the cheetah
does.
Determine how many seconds later the cheetah catches the gazelle. How many feet did the
cheetah have to run to catch the gazelle? Round to the nearest tenth of a foot. Show all your work.
DO NOT PUT ANY LINKS TO A FILE OR ANYTHING LIKE THAT. Help ASAP pls.

Answer:

the first one is equivalent and the second one isnt.

Step-by-step explanation:

if you break down 4x you have 4 times x which is x 4 times hence x + x + x + x.

same thing goes with 5x which would make it x+x+x+x+x not 5 + x

9514 1404 393

Answer:

  1. yes

  2. no

Step-by-step explanation:

1. We can use the distributive property to rewrite the sum.

  x + x + x + x = 1x +1x +1x +1x = (1+1+1+1)x = 4x

__

2. 5x = (x + x + x + x + x) ≠ (x + 5)

Multiplication by a factor is not the same as addition of that factor.

_____

We often use juxtaposition to indicate multiplication in algebraic expressions. That is 2x = 2·x. Of course, multiplication is a shorthand way to write repeated addition, so 2x = x + x (the value x appears 2 times in the sum).

Answer:9

Step-by-step explanation:

Answer:

I think it's either A or D

Step-by-step explanation:

Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The area of each triangular face is  

✔ 6

ft2.

The surface area of the roof is  

✔ 24

ft2.

The surface area is 24 ft² and Alina need to consider four faces while buying shingles for the roof.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Alina is building a roof for a dog house

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The surface area of each triangular face is  given by the formula

= (1/2) * base * height

= (1/2) * 4 * 3

= 6 ft²

The surface area of the roof is  

= 4 * 6

= 24 ft²

She'll need to consider 4 faces when buying shingles for roof .

To know more about Surface Area

https://brainly.com/question/2835293

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Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  m = 8

  n = 4√3

Step-by-step explanation:

The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.

  (12+4)/m = m/4

  64 = m² . . . . multiply by 4m

  8 = m . . . . . . square root

__

Likewise, the ratio of long side to short side is the same.

  12/n = n/4

  48 = n² . . . . . . multiply by 4n

  4√3 = n . . . . . take the square root

_____

Additional comment

You may have noticed that the ratios of side lengths are ...

  4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle

This means the unmarked side is 8√3.

__

We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.

Answer:

1/2^7

Step-by-step explanation:

Answer:

1/2^7

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Two cooies plus two cookies is four cookies.

Answer:

A = 2 ( w l + h l + h w)

A = 2 (2*8+4*8*4*2)

A = 112 units cubed

Answer:

B

Step-by-step explanation:

B is the right anwser

Answer:

Thus , if the digit in one's place of a number is 2, then the last digit of its cube will be unit digit of . Since the last digit of cube of 2 is 8. Hence, if the digit in one's place of a number is 2, then the last digit of its cube will be 8

Step-by-step explanation:

Answer:

91.72% likely that the soil sample contains organic matter.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have that:

Of 700 samples that contain organic matter, 665 give a positive result and 700 - 665 = 35 give a negative result.

Of 300 samples that do not contain organic matter, 300 - 240 = 60 give a positive result and 240 give a negative result.

If a soil sample test gives a positive result, it is ___% likely that the soil sample contains organic matter.

665 with organic matter out of 665 + 60 = 725 positive tests.

665/725 = 0.9172

0.9172*100% = 91.72%.

91.72% likely that the soil sample contains organic matter.

Answer: both equal 82

Step-by-step explanation: When you have parallel lines with a transversal, all the angles are either the same as the given angle or 180- the angle given. This is because they are all supplementary or equal. 1, 3, 5, and 7 are equal, 2, 4, 6, and 8 are equal. 180-98=82

Answer:

3

Step-by-step explanation:

So, the little arow underneath lim that says x>1, this means that the qiuestion is asking:

What is the limit when x gets to 1?

We can use the quadratic they give us to solve this. Now, if you are doing this, you should know how to make a quadratic equation. So instead of making this long and tedious for you, I will use a graphing calculator.

So lets look at the graph below, specificly where x=1

as x reaches 1, what does the y coordinates look to be about? 3.

So we can conclude that the answer is that when x→1, y=3

I hope this helps!

Answer:

356 cm.

Step-by-step explanation:

Whenever you find the surface area of a rectangular prism, remember this mnemonic:

LISA WILSON LOST HER WITCH HAT TWICE.

(TWICE) 2 (LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT)

In this rectangular prism, the length is 8, the width is 14, and the height is 3 (the order of numbers in length, width, and height does not matter).

Now, we can just plug in the numbers.

LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT

[tex]2(8*14+8*3+14*3) = 356.[/tex]

Therefore, the surface area of this rectangular prism is 356 centimeters.

Answer:

[tex]\=x=2.1[/tex]

[tex]\sigma=2.03[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size[tex]n=100[/tex]

Probability of  a defective widget [tex]P=0.021[/tex]

Generally the equation for binomial trial is mathematically given by

 [tex]q=1-p[/tex]

 [tex]q=1-0.021[/tex]

 [tex]q=0.979[/tex]

Since X is binomial random variable with functions of n and p,The equation of mean \=x

 [tex]\=x=E(x)[/tex]

  Where

  [tex]E(x=n*p)[/tex]

 [tex]\=x=100*0.021[/tex]

 [tex]\=x=2.1[/tex]

Generally the equation for variance \sigma is mathematically given by

 [tex]\sigma=\sqrt{nqp}[/tex]

 [tex]\sigma=\sqrt{200*0.021*0.979}[/tex]

 [tex]\sigma=2.03[/tex]

Answer:

x = - 2, x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

(2x + 4)(3x - 2) = 0

Equate each factor to zero and solve for x

2x + 4 = 0 ( subtract 4 from both sides )

2x = - 4 ( divide both sides by 2 )

x = - 2 ← lesser x

3x - 2 = 0 ( add 2 to both sides )

3x = 2 ( divide both sides by 3 )

x = [tex]\frac{2}{3}[/tex] ← greater x

Answer:

b = 737

Step-by-step explanation:

b - 326 = 411

  + 326 +326

b = 737

Answer:

b = 411 - 326

b = 85

I hope this will be helpful

Answer:

b=4*25‐9*2

=100‐18

=82

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Step-by-step explanation:

Divide 24 by 4. So, 18 hours. Therefore a light bulb consumes 6840 Watt hours in 4 days and 18 hours.

Answer:

Here we have the table:

[tex]\left[\begin{array}{ccccc}t&20&21&22&23\\\ 16t^2&\end{array}\right][/tex]

To complete the table, we just need to input the different values of t in the equation:

f(t) = 16*t^2

Then for the first value, t = 20, we get:

f(20) = 16*(20)^2 = 6,400

now we write that in the table:

[tex]\left[\begin{array}{ccccc}t&20&21&22&23\\\ 16t^2&6,400&\end{array}\right][/tex]

Now we just need to do the same for the other 3 values:

f(21) = 16*(21)^2 = 7,056

f(22) = 16*(22)^2 = 7,744

f(23) = 16*(23)^2 = 8,464

Then the completed table is:

[tex]\left[\begin{array}{ccccc}t&20&21&22&23\\\ 16t^2&6,400& 7,056&7,744&8,464\end{array}\right][/tex]

Answer: 300 ml

Step-by-step explanation:

First and foremost, we should note that:

1000 milliliters = 1 liter

Therefore, 2.1 liters = 2.1 × 1000 = 2100 millimeters.

Therefore, since the liters of water is divided into 7 containers, the vlaue in each container will be:

= 2100 millimeters / 7

= 300 millimeters

Answer:

D

Step-by-step explanation:

we can find x/y by multiply 3a/b * 3a/b

x/y = 9a^2/b^2

Answer:

Where is the equation for the problem?

Answer:

A = 533.8 square inches

Step-by-step explanation:

Use the surface area of a cylinder formula (A=2πrh+2πr^2)

Plug in 12 for h and 5 for r

Use 3.14 in replace for π

A = 2(3.14)(5)(12) + 2(3.14)(5)^2

A = 533.8 in^2

Step-by-step explanation:

55 square inches tall is the average cost of a house in the morning po everything is the same as

Answer:

-30

Hope this helps!