Axel runs 10 kilometers in 85 minutes. At the same rate, how many minutes would he take to run 8 kilometers?

Answer:

The number series 1, 2, 3, 4, . . . . , 99, 100. Therefore, 5,050 is the sum of positive integers upto 100.

Step-by-step explanation:

The sum of the numbers 1-100 would be equal to the number of pairs (50) multiplied by the sum of each pair (101), or 50 x 101 = 5,050.

Answer:

x= -1.22

Step-by-step explanation:

I think in this case you would be solving for x. So, to start you would expand the 2 out to the (x-3). That would give you 2x-6. Then you would expand the 7 out to the (x+2). That would give you 7x+14. You would then be left with       2x-3+7x+14. You would then combine like terms and get 9x+11. To solve for x you would subtract 11 leaving you with 9x= -11. From there you would divide -11 by 9 and get x= -1.22.

Have a wonderful day!! :)

Answer:

258m

Step-by-step explanation:

This is a guess, if you could, please post your answer again, but this time click the paperclip icon, and add a screenshot of the figure!

Answer:

[tex]\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}[/tex]

Step-by-step explanation:

[tex]\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}[/tex]

[tex](1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}[/tex]

[tex](2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi[/tex]

[tex]\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}[/tex]

Answer:

[tex]-210[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=x^3-2x^2-51x-108[/tex]

And we want to find the remainder when it is divided by [tex](x-2)[/tex].

We can use the Polynomial Remainder Theorem, where if we have a function [tex]f(x)[/tex] divided by a binomial [tex](x-a)[/tex], then our remainder will be [tex]f(a)[/tex].

Here, our divisor is [tex](x-2)[/tex], so our a is 2.

Therefore, our remainder will be [tex]f(2)[/tex]. Let's substitute this for x. This yields:

[tex]f(2)=(2)^3-2(2)^2-51(2)-108[/tex]

Evaluate. Do the exponents:

[tex]f(2)=8-2(4)-51(2)-108[/tex]

Multiply:

[tex]f(2)=8-8-102-108[/tex]

Subtract:

[tex]f(2)=-210[/tex]

So, our remainder is -210.

And we're done!

Answer:

28

Hope this helps

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

Answer:

6/n^2

Step-by-step explanation:

I'm assuming it's an expression.

Answer:

21111

Step-by-step explanation:

2222

Given:

This table shows the ratio of apples to oranges.

Apples      Oranges

   6                 10

   9                 15

  12                  ?

To find:

The missing value in the table of equivalent ratios.

Solution:

Let the missing value be x.

The ratios of apple and oranges are equivalent. So,

[tex]\dfrac{6}{10}=\dfrac{9}{15}=\dfrac{12}{x}[/tex]

[tex]\dfrac{3}{5}=\dfrac{3}{5}=\dfrac{12}{x}[/tex]

[tex]\dfrac{3}{5}=\dfrac{12}{x}[/tex]

On cross multiplication, we get

[tex]3\times x=12\times 5[/tex]

[tex]3x=60[/tex]

Divide both sides by 3.

[tex]x=20[/tex]

Therefore, the missing value is 20.

Answer:

20

Step-by-step explanation:

hope it helps

Answer:

C. from step 2 to step 3

LK + KJ = 43

LK + 25 = 43

LK = 43 - 25

LK = 18

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

(3,4)

Step-by-step explanation:

Step-by-step explanation:

5^2+11^2=13^2 is the answer. However, once you add the 25 and 121 together(the squares of 5 and 11), which is 146, you then need to square root the 146 to get C.

Answer:

Step-by-step explanation:

use the Pythagorean

a² + b² = c²

11² + 5² = 13²

Answer:

-17

Step-by-step explanation:

-3-14 = -17

-17 + 14 = -3

Answer:

it should be C

Step-by-step explanation:

Answer:

1hr = 60min

3hr = 180min

the missing value is 180

Answer: the answer is A

Hope this is helpful

Step-by-step explanation:

I jus know

Answer:

y = 4

Step-by-step explanation:

You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

Isolate the variable, y. First, subtract 6 from both sides of the equation:

7y + 6 (-6) = 34 (-6)

7y = 34 - 6

7y = 28

Next, divide 7 from both sides:

(7y)/7 = (28)/7

y = 28/7 = 4

y= 4 is one of the equivalent equations that can answer this question.

~

Answer:

D. 2/15

Step-by-step explanation:

6+4+3+2=15

Red is 2.

2/15

Answer:

The answer is 2.29 !

Step-by-step explanation:

To round 2.294 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part. We use the following rules to round 2.294 to the nearest hundredth: A) If the last digit in the fractional part of 2.294 is less than 5, then simply remove the last the digit of the fractional part

Answer:

A theorem that explains the shape of a sampling distribution of sample means. It states that if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

Step-by-step explanation:

google

can I have brainliest

Answer: Eric earns $37.50 per day.

Step-by-step explanation:

7.50(5)= 37.50

Answer:

[tex]y=\frac{1}{4}(x)+2[/tex]

you can write this as

[tex]f(x)=\frac{1}{4}x+2[/tex]

Step-by-step explanation:

2 points

(-4,1)(0,2)

[tex]y=\frac{1}{4}x+2[/tex] is the equaction of the line thats in the grapj

Why and How I got it?

you had 2 points, so you can using the slope equaction

Rise over run

why is slope important?

using the y incept equactions

y=mx+b, where slope is m

so you get slope you got m

Solve

rise over run

[tex]\frac{2-1}{0-(-4)}[/tex]

so you get

[tex]y=\frac{1}{4}x+b[/tex]

How do you get B?

you plug 1 points in

[tex]-4=\frac{1}{4}(1)+b[/tex]

Hoped this helped ya

<3

Answer:

i think it is -1/2

Answer:

[tex] -\dfrac{13}{18} [/tex]

Step-by-step explanation:

[tex] -\dfrac{8}{9} - (-\dfrac{1}{6}) = [/tex]

[tex] = -\dfrac{8}{9} + \dfrac{1}{6} [/tex]

[tex] = -\dfrac{16}{18} + \dfrac{3}{18} [/tex]

[tex] = -\dfrac{13}{18} [/tex]

Answer:

18xy-2x-5y-8

Step-by-step explanation:

Просто умножьте,то что было в скобках

Answer:

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? Average of 20 numbers = 0. Therefore Sum of 20 numbers = (0 x 20) = 0 It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).

Step-by-step explanation:

Answer:

(8×3)-63

just trust me that the right answer

Answer:

-13824

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

1+1

2+2

3+3

4+4