A train travels with a constant speed of 108 km/h. How long will it take to travel a distance of 270 kilometers? PLEASE HELLLLLLPPPP THERE BRAINLIEST

Answers

Answer 1

Answer:

Answer:

The answer is 2.5 hours. That's how long it would take the train to travel 270 kilometers.

mark me brainliest!

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What solution of the inequality -1<4+5x<9
Multiply. Write your answer in simplest form. 5/12 x 4/5

What is -4x=-2+4y -4y=1-4x

Answers

I hope this helps you

A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 students each year since the school opened. A nearby public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year. Interpret the point of intersection in the context of the problem.

Answers

1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t ⇒ y = 85 + 18x
g(t) = 95 + 15t ⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145

What is the ordered pair is the vertex of y=-|x+4|

Answers

Answer: The vertex of the given function is (-4,0).

Step-by-step explanation:

Since, the standard form of an absolute function is,

y = a|x-h| + k

Where (h,k) is the vertex of the function,

Here, the given function is,

y = -|x+4|

⇒ y = (-1)|x-(-4)| + k

By comparing,

We get, a = -1, h = -4 and k= 0

Hence, the vertex of the given function is (-4,0).

$vertex:\n\nx+4=0\to x=-4\n\nvertex\ is\ (-4;\ 0)\n\nlook\ at\ the\ picture$

Determine whether the vectors u and v are parallel, orthogonal, or neither.u = <10, 6>, v = <9, 5>

Answers

$\mathbf u\cdot\mathbf v=\|\mathbf u\|\|\mathbf v\|\cos\theta$

where $\theta$ is the angle between the vectors. You have

$10*9+6*5=√(10^2+6^2)√(9^2+5^2)\cos\theta\iff \cos\theta=(30)/(√(901))\implies \theta\approx1.909^\circ$

The vectors would be orthogonal if the dot product had been zero, but that's clearly not the case.

They would be parallel if the angle turned out to be $0^\circ$ or $180^\circ$ , but that's also not the case.

So the answer is neither.

DIFFERENTIAL EQUATIONS
Solve the differential equations.
dy = 4 − x
/
dx

Answers

anti derivative of 4 is 4x
anti derivative of -x is -1/2 x^2

so y = 4x - (1/2)x^2 + C
(can't forget constants when doing anti derivatives xD)

is this what you need?

*edit
Anti-derivative of a Constant [just a number] becomes (constant)*x
for example integral of 5 = 5x + C

Then there is a Power Rule for integrals
integral of (x)^n = 1/(n+1) *(x)^(n+1) + C
for example: integral of x^2 = 1/(2+1) * (x)^(2+1) + C = (1/3)*x^3 + C

We have dy/dx = (4-x) dx which is a first order linear ODE

dy = (4-x) dx. Now integrating both sides we get:

y = 4x - 1/2 x^2 + C

which is the answer. Note we only wrote +c once since we can combine arbitrary constants under addition and subtraction with each other.

Help please !!!!
1 . What is the mean of the data set?

Answers

means can be translated to average
average= total number/number of objects or numbers
so the answer is 393, 399, 402,402,407, 410, 424, 425, 428 all added together then divided by 9
if we use a calculator to add them up we get 3690
then divide by 9
3690/9=410
410 is the mean

mean = sum / number of items

in the firs row there is 39 | 3 9 which means there are items 393 and 399,
to calculate sum i may write 393 + 399, or 3 + 9 + 39*2*10 which i find easier to calculate

sum = 3 + 9 + 2 + 2 + 7 + 0 + 4 + 5 + 8 + (2*39 + 3*40 + 1*41 + 3*42)*10 = 40 + (78+120+41+126)*10 = 40 + 3650 = 3690
mean = sum / number of items = 3690 / 9 = 410

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