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4 years ago

Please help with this

Mathematics

1 answer:

sladkih [1.3K]4 years ago

4 0

Answer:

Step-by-step explanation:

a) the given equation is expressed as

y = - x + 56

b) we will substitute the given values for x into the equation to determine the corresponding values for y. Therefore,

When x = 0,

y = - 0 + 56

y = 56

When x = 5,

y = - 5 + 56

y = 51

When x = 10,

y = - 10 + 56

y = 46

c) For the scale to be used on the graph,

Let 2 cm represent 10 units on the x axis.

Let 2 cm represent 10 units on the y axis

The y axis represents temperature.

The x axis represents the number of hours

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In a lot (collection) of 100 light bulbs, there are 5 defective bulbs. an inspector inspects 10 bulbs selected at random. find t

Vedmedyk [2.9K]

Probability of finding no defective bulb
=95/100*94/99....86/91
=95!/(85!) / (100!/90!)
= 110983/190120
=>
Probability of finding at least one defective bulb
=1-110983/190120
= 79137/190120
= 0.41625 (to 5 decimal places)

5 0

3 years ago

In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m

elixir [45]

Answer:

Measure of angle A is 27 7/9 degrees.

Step-by-step explanation:

Lets call measure of angle A is X-10

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

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3 years ago

The first train leaves the station at 6:15 a m. The second train leaves at 6:55 am. How much does the sec ond train leave the st

Alekssandra [29.7K]

Answer: 40

Step-by-step explanation:

second train leaves 40 minutes after

7 0

3 years ago

PLEASE HELP ME!!! HIGHSCHOOL MATH!!!

inna [77]

We know that
the equation of a vertical parabola in vertex form
y=a*(x-h)²+k
(h,k)------> (0,5)
y=a*(x-0)²+5
y=a*x²+5
substitute the point (2,9) in the equation
9=a*(2)²+5------> 9=4*a+5-------> 4*a=9-5-----> 4*a=4-----> a=1

the equation of the vertical parabola is
y=x²+5

the equation of a horizontal parabola in vertex form
x=a*(y-k)²+h
(h,k)------> (0,5)
x=a*(y-5)²+0
x=a*(y-5)²
substitute the point (2,9) in the equation
2=a*(9-5)²------> 2=16*a------> a=1/8

the equation of the horizontal parabola is
x=(1/8)*(y-5)²

the answer is
the equation of the vertical parabola is y=x²+5
the equation of the horizontal parabola is x=(1/8)*(y-5)²

see the attached figure

4 0

4 years ago

Let P(t) be a population at time t. A simple population model supposes the rate of growth of the population is proportional to t

jeka94

Answer:

$(a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}$

(ii) $P(1000)\approx 26.88 \times 10^{44}\\$

Step-by-step explanation:

(a)The rate of growth of the population is proportional to the population, this is written as:

$\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)$

(b)

$\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}$