a formula one racecar driver estimates that he needs to maintain an average speed of 113 miles per hour in order to set a new lap record on an Australian racetrack. since australia uses si units, the average speed will be reported to the driver in kilometers per hour. if the driver successfully maintained an average speed of 113 miles per hour during the lap, what would the report show as his average speed in kilometers per hour? round your answer to the nearest hundredth​

3. 128°

6. 136°

8. 96°

9. 96°

11. 136°

13. 52°

14. 128°

15. 44°

16. 136°

17. 128°

18. 52°

Answer:

Answer:

adjacent, linear pair, supplementary

Step-by-step explanation:

adacent because they are angles side by side

linear because the angles create a straight line

supplementary because the angles equal 180 degrees

Answer:

45 + n = 325

n = $280

Step-by-step explanation:

total cost = monthly cost plus the cost of lessons

total cost = $325

monthly cost = $45

number of lessons = 'n'

45 + n = 325

n = 280

Answer:

A, C, and E I think

Step-by-step explanation:

Answer:

its below

Step-by-step explanation:

Part A: 52.29

Part B: the top box is 52.29, the longer box under is 34. 80 and the smaller one is 17.49

Answer:

Step-by-step explanation:

cos 10° cos 8° − sin 10° sin 8° = cos(10° + 8°) = cos(18°)

Answer:

45°

Step-by-step explanation:

Northeast (NE), 45°, halfway between north and east, is the opposite of southwest. Southeast (SE), 135°, halfway between south and east, is the opposite of northwest. Southwest (SW), 225°, halfway between south and west, is the opposite of northeast.

Answer:

3

Step-by-step explanation:

Here, 1:x =5:15

Solving which the value of x is 3.

Answer:

3/13

Just divide and u will get the answer

Answer:

3 : 13

Step-by-step explanation:

Given the ratio

6 : 26 ( divide both parts by 2 )

= 3 : 13 ← in simplest form

Answer:

7.8 mL

Step-by-step explanation:

Answer:

.78 L

Step-by-step explanation:

Well, simple conversions

a milliliter is .0001 of a liter and 1 liter is 1000 mL, so we can safely say that .78 L is 780 mL, dwarfing the given 7.8 mL

Answer:

Students = 380

Adults = 150

Step-by-step explanation:

3x + 4y = 1740

and a total tickets equation of: x + y = 530

12:15

Step-by-step explanation: 45+15=60

There a 60 minutes in an hour

I hope that helped

Answer:

2 ⅓  

Step-by-step explanation:

division is the same as a fraction

the dividend is the numerator and the divisor is the denominator

7÷3 is the same as 7/3

change 7/3 into a mixed number which is 2 ⅓  

Answer:

x > 19

Step-by-step explanation:

Hey there!

To solve this equation, you would solve it like any other equation.

Imagine that the inequality sign isn't there, and it's replaced with an equal sign. (I'm still going to use >, I just want you to pretend)

Solve:

Subtract 17 from both sides

That's it! there's your solution!

Remember this rule:

Answer:

100

Step-by-step explanation:

g(x)=5x^2+4x−5

Let x = -5

g(x)=5 ( -5)^2+4(-5)−5

     = 5*25 - 20 -5

     =125 - 25

    = 100

Answer:  21 units

Step-by-step explanation: Since the y-coordinates are the same, you need to find only the difference in the x-values.

Since one is positive and one is negative, (on different sides of the y-axis) you add the distances of each coordinate from there.

Or, remember that finding the difference between two numbers is a subtraction equation, and subtracting a negative is the same as adding a positive.

15 -(-6) = x

15 + 6 = x

21 = x

Answer:

- 1.628 x 10^9

Step-by-step explanation:

(1.9 x 10^9) - 6,300,000 × (5.6 x 10^2) =  - 1628000000

 - 1628000000 = - 1.628 x 10^9

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

====================================================

Explanation:

The greek letter mu is the population mean. It has the symbol [tex]\mu[/tex] which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

We see that 5 is not in that interval. It's a bit to the left of 5.2

Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

I think you forgot the graph. Please add it.

Answer:

I believe the answer is A: x = - 1

Answer:

p=1

Step-by-step explanation:

first you need to get rid of the parenthesis

-2p+8=6-7p+7

then combine everything you can on their respective sides

-2p+8=13-7p

then get the variable on one side and for this, it can be done 2 different ways but both ways get the same answer

-2p+8=13-7p

+7p         +7p

5p+8=13

or

-2p+8=13-7p

+2p         +2p

8=13-5p

then, depending on which way you decide to solve it, you would then solve for x like you would in any regualar equation

first way shown above:

5p+8=13

    -8  -8

5p=5

divide them both by 5 and p=1

or the other way shown above

8=13-5p

-13  -13

-5=-5p

divide both sides by -5 and then p=1

The form [tex]y=ab^x[/tex] has two unknowns, namely [tex]a[/tex] and [tex]b[/tex], so you would need to have two points to find the equation (which you do). Once you have your two points, you can create a system of equations by plugging in the x and y coordinates like below:

[tex]\left \{ {{10=ab^0} \atop {5120=ab^9}} \right.[/tex]

One thing you may remember is that ANY number to the power of 0 equals 1. Knowing that, we can replace [tex]b^0[/tex] in the first equation with 1. Since 1 multiplied by any number is just that same number, that leaves [tex]a[/tex] alone in the first equation.

[tex]\left \{ {{10=a} \atop {5120=ab^9}} \right.[/tex]

The first equation now tells us that [tex]a[/tex] is 10, so we can plug 10 in for [tex]a[/tex] in the other equation.

[tex]5120=10b^9[/tex]

Now we can divide both sides by 10 to isolate [tex]b^9[/tex].

[tex]512=b^9[/tex]

To get [tex]b[/tex] alone, we have to take the 9th root of both sides.

[tex]\sqrt[9]{512} =\sqrt[9]{b^9}[/tex]

That gives us:

[tex]2=b[/tex]

We can now plug [tex]a[/tex] and [tex]b[/tex] into the form they gave us to get:

[tex]y=10*2^x[/tex]

Solution:

We know that:

Since LN and MP must be equation, equation formed: 4x + 3 = 8x - 9

Let's simplify the equation to find x.

Subtracting 4x both sides.

Add 9 both sides.

Divide 4 both sides.

Now, let's find the length of each diagonal.

Diagonals are equal

[tex]\\ \rm\Rrightarrow 4x+3=8x-9[/tex]

[tex]\\ \rm\Rrightarrow -4x=-12[/tex]

[tex]\\ \rm\Rrightarrow x=-12/-4[/tex]

[tex]\\ \rm\Rrightarrow x=3[/tex]

Answer:

[tex]15-4\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{5}\left(3\sqrt{5}-4\sqrt{3}\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=\sqrt{5},\\\:b=3\sqrt{5},\:c=4\sqrt{3}\\\\=\sqrt{5}\times\:3\sqrt{5}-\sqrt{5}\times\:4\sqrt{3}\\\\=3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3}\\\\Simplify\:\:\:3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3} \: :15-4\sqrt{15}\\\\=15-4\sqrt{15}[/tex]

Answer:

(2, 4)

Step-by-step explanation:

the same spot because 2 - 4 = -2, and the back up -2 + 4 = 2. we do not move left or right so there is no need to change the y value of 4

Answer:

(2, 4)

Step-by-step explanation:

We are given the points (2, 4) and we are told to move down four units, and then up 4 units. Since it's up and down not left and right it's telling us that we are moving the point on the y axis, which is the four, now all we have to do is subtract four units, and then add four more units on the y axis.

4 - 4 + 4 = 4

Leaving the points unchanged, your answer is "(2, 4)."

Hope this helps.

Answer:

what

Step-by-step explanation:

tux really be chewing on da hair tho no cap