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2 years ago

Can i please have help with this question branliest for the correct answer

Mathematics

2 answers:

Wewaii [24]2 years ago

6 0

Answer:

u first need to find the gradient using your points, then u use your gradient to find the equation using y-y1=m(x-x1)

where m is the gradient, y1 is 2 and x1 is 0 from the question

OLga [1]2 years ago

4 0

Answer:

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

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If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca

aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function $A ( t ) = 10 e^{ -0.0188 t$ (t in hours)

(a)After 12 Hours

$A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)$

(b)If A(t)=5mg

Then:

$5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)$

(c)

$A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)$

3 0

3 years ago

What is the value of (7 – 3i)(6 + i)?

Dimas [21]

45 - 11i is the answer! And make sure you double check.

8 0

3 years ago

In ΔNLM, if m∠M=(4x-4)°, m∠L=(3x+12)°, and m∠N=(6x+3)°, what is x?

GarryVolchara [31]

Answer:

x = 13

Step-by-step explanation:

The sum of angle measures in a triangle is 180°.

m∠M + m∠L + m∠N = 180°

(4x-4)° + (3x+12)° + (6x+3)° = 180°

13x +11 = 180 . . . . . . collect terms, divide by °

13x = 169 . . . . . . . . . subtract 11

x = 13 . . . . . . . . . . . . . divide by 13

5 0

3 years ago

During a sale , a shop allows 20%

Dafna1 [17]

Answer:

$24

Step-by-step explanation:

original price of a dress = $30

discount = 20%

discount amount = discount% of original price

=20/100 * 30

=30/5

=$6

price that consumer will pay after discount = $30 - $6

=$24

6 0

3 years ago

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How do you Plat order pears

Nitella [24]

Answer:

Step-by-step explanation:

The Pairs in Pears game involves making pairs of intersecting words that consist of tiles of all the same pattern. One word is up/down and the other is left/right, and they share a vowel or consonant. Whoever makes a certain number of word pairs first, wins.

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3 years ago