The maximum land speed of a cheetah is about 120km/hour.
What is this speed limit, rounded to the nearest whole number, in m/s?

Answers

Answer 1

Answer:

  33 m/s

Step-by-step explanation:

  120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s

_____

Additional comment

In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.


Related Questions

Write a quadratic function in standard form with axis of symmetry x=-5 and y -intercept 3 .

Answers

Answer:

follow the statement below

Step-by-step explanation:

The question you presented here has multiple (un-limited) solutions unless you have another condition to solve for a single solution.

Equation: y = ax² + bx + c

y intercept (0 , 3): c = 3

axis of symmetry x=-5, therefore a corresponding point (-10,3) on the curve

3 = a*(-10)² + b*(-10) + 3

100a - 10b = 0

b = 10a  .... any pair like a=0.5 b=5; a=1 b=10 0r a=2 b=20 ..... all fit the function

y = 0.5x² + 5x +3

y = x² + 10x + 3

y = 2x² + 20x +3

........................

what could be the value of x in the equation x/2+ 15 =64

Answers

Answer:

x = 98

Step-by-step explanation:

[tex]\frac{x}{2}[/tex] + 15 = 64 ( subtract 15 from both sides )

[tex]\frac{x}{2}[/tex] = 49 ( multiply both sides by 2 to clear the fraction )

x = 98

For f(x) = 2x + 1 and g(x) = x2 - 7, find (f + g)(x).​

Answers

Answer:

(f+g)(x)=x²+2x-6

Step-by-step explanation:

(f+g)(x)=2x+1+x²-7

collect like terms

(f+g)(x)=x²+2x+1-7

according to mathematics x² is not a like term of 2x so don't add the them

(f+g)(x)= x²+2x-6

The bookstore sold coloring books for $4. They are on sale for $1. Find the percent decrease.​

Answers

Step-by-step explanation:

4 -1=3 so 4divided by 3= 1.33 so 1.33 as a percent is 133%

If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?

Answers

Answer:

The constant is that each 14 t-shirts you need to pay 78.40$

Step-by-step explanation:

If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.

Hey can some one help me on this one please

Answers

Answer:

The first and third are functions.

Step-by-step explanation:

Functions must have only one y-value for an x-value.

Can someone plz help me with this. 100 points and brainliest to the correct answer.
I will be so gratefulll!!

Answers

Answer: 11.46

Step-by-step explanation:

Who has the best conclusion?
A.Sheryl said the lowest grade was a 70 and the highest grade was a 92.
B.Shania said the highest grade was a 100.
C.Andrea said the lowest grade was a 68 and the highest grade was a 92.
D.Allen said the range of the scores was 32.​

Answers

Answer:

B. Shania's conclusion is the only accurate one.

Step-by-step explanation:

3х +8
What’s the value of x

Answers

Answer:

the value of X is one

Step-by-step explanation:It is one because it doesn't have a proper number


[tex] \frac{8}{ax} - 5 = - 3[/tex]
Solve for x. Assume a doesn't equal 0.​

Answers

Answer:

x=4/a

Step-by-step explanation:

8/ax - 5= -3

          +5    +5

8/ax=2

* ax     *ax

    8=2ax

  /2a     /2a

8/2a=x

simplify

4/a=x

???????????????????plz

Answers

Answer:

right right

Step-by-step explanation:

i don’t understand can I have help please

Answers

Answer:

(y + 1)³

Step-by-step explanation:

Answer:

y^3+3y^2+3y+1

Step-by-step explanation:

Factor the numerator and denominator to cancel the common factors.

(Whenever ^ is in the answer, it means that the number to the right of it is the exponent)

COS Find the quotient when the polynomial expression is divided by a binomial Find the quotient ANSWER SOLUTION CHOICES X2+11x+ 10) = (x+1) = Long Division Synthetic Division Answer: X2 + 5x + 1​

Answers

Answer:

x=−1 or x=−9

Step-by-step explanation:

x2+11x+10=x+1

Step 1: Subtract x+1 from both sides.

x2+11x+10−(x+1)=x+1−(x+1)

x2+10x+9=0

Step 2: Factor left side of equation.

(x+1)(x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or x+9=0

x=−1 or x=−9

I really need help asap please!

Answers

Answer:

49

Step-by-step explanation:

the line joined by midpoints of sides is called midsection

which is parallel to the third side and is half its length

so (5x - 26) * 2 = 9x - 37

10x - 52 = 9x - 37

x = 52 - 37

x = 15

so PQ is 5x - 26

= 5*15 - 26

= 75 - 26

= 49

help with the problem in picture ​

Answers

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

Answers

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:

[tex]m[/tex] is the slope of the line[tex]b[/tex]  is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Upon inserting our points into the equation, we get a slope of -1.

[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]

Creating The Equation

To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

[tex]y=-1x-2[/tex]

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

Luke was trying to expand his game collection. He bought six games from a friend and
bought fifty more at a garage sale. If twenty-five of the games didn't work, how many
good games did he end up with?

Answers

Answer:

he would end up with 25 good games left

Answer: the answer is 31!

Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!

Which property does Aiden use for his first step?

Answers

Answer:

distributive property of multiplication!

please mark me as brainliest!!!

help asap for brainlist

Answers

Answer:

l=A/W

Step-by-step explanation:

Example:

Area = 500 m^2

w= 10m

L= Area/ W

L=500/10

L=50

To check this

A= L*W

500=50*10

B: L = A/w
Explanation: if your finding length you just have to get L by itself so you would divide by w to get w on the other side which would get you A divided by w

URGENT HELP!! Will is making cookies for the house parade party. He uses 6 cups of flour for every 4 cups of Sugar. Will says he uses 1.5 cups of flour for every 1 cup of sugar. His friend Finn said that Will used 2/3 cups Sugar for every cup of flour. Who is correct? Explain.

Answers

Will is wrong and can not be held accountable for ever cup of flour



A temperature of -3°F is how many degrees below the freezing
temperature of water?

Answers

Answer:

Step-by-step explanation:

6


please help!!!!!!!!!

Answers

Answer:

reserved tickets = 6 and general admissions tickets = 15

Step-by-step explanation:

[tex]25r + 10g = 150[/tex]

Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.

Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g

[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]

divide both sides by 10

[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]

Now set g equal to zero since he isn't buying any general tickets. Solve for r.

[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]

divide both sides by 25

[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]

IVE BEEN STUCK ON THIS FOR ABOUT 3 HOURS
The distance your friend travels in y (miles) running x hours is represented by the equation
y = 7.5x.
a. Graph the equation and interpret the slope

b. how many minutes does it take for your friend to run one mile

Answers

a. Is the attached image. The slope is 7.5x

b. 1 = 7.5x

x = 1.33333…

This is hours so we must multiply this by 60

x = 8 min

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

Answers

Answer:

9

Step-by-step explanation:

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

if a + 5 = 14 just subtract 5 from 14

a + 5 = 14

a = 14 - 5

a = 9

------------check

9+5=14

14=14

the answer is good

change 0.04608 to standard form

Answers

The answer is 4.608*10^-2

Answer:

Step-by-step explanation:

Shift deciaml point on right side before a non zero number which is 4:

=4.608×10^-2

3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds? Show necessary work.
(c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.

Answers

Answer:

-3 1/20

Step-by-step explanation:

-3 1/20 is the first answer

list all the possible rational zeros of p(x)=3x^3-3x^2+4x-12

Answers

Answer:

[tex]x = 3[/tex]

[tex]x)=x^3-3x^2-4x+12 \\ 0 = 3x ^2 - 3x ^2 + 4x - 12 \\ 0 = 4x - 12 \\ - 4x = - 12 \\ - x = - 12 \div 4 \\ x = 3[/tex]

What is
2(3x + 4) = -28

Answers

Answer:

x= 10/3

or

x= 3.334

Depending on simplified form asked.

Step-by-step explanation:

6x +8 =28

subtract 8 from both sides

6x = 20

divide by 6

x=20 /6

x= 10/3 or x =3.334

if you like my answer, please mark me brainliest !! thanks !! <3

x = -6
2(3x + 4) =-28
divide both sides by 2
2(3x+4)/2 = -28/2
after dividing its 3x + 4 = -14
subtract 4 from both sides
3x + 4 - 4 = -14 - 4
after subtracting its 3x = -18
divide 3 from both sides
3x/3 = -18/3
x = -6
Hope it help

mike drove 10 miles in 30 minutes, what's the average speed in miles per hour

Answers

Mike is driving 20 miles per hour

If he is driving 10 miles in 30 mins
(1/2 an hour) if you times both by two it tells you the MPH that Mike is driving.

There are only red sweets and yellow sweets in a bag.
There are n red sweets in the bag.
There are 8 yellow sweets in the bag.
Sajid is going to take at random a sweet from the bag and eat it.
7
He says that the probability that the sweet will be red is
10
7
10
(a) Show why the probability cannot be

Answers

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be [tex]\frac{7}{10}[/tex]

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

In this problem:

In total, there are 8 + n sweets in the bag.Of those, n are red.

The probability of red is:

[tex]p = \frac{n}{n + 8}[/tex]

Supposing [tex]p = \frac{7}{10}[/tex], we solve for n:

[tex]\frac{n}{n + 8} = \frac{7}{10}[/tex]

[tex]10n = 7n + 56[/tex]

[tex]3n = 56[/tex]

[tex]n = \frac{56}{3}[/tex]

[tex]n = 18.67[/tex]

Since the number of red sweets would be a decimal number, the probability cannot be [tex]\frac{7}{10}[/tex]

A similar problem is given at https://brainly.com/question/15536019

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