Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.

Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.

Answer:

yeah they are necessary in fact they are the first when you use BODMAS

Answer:

12.8$

Step-by-step explanation:

20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.

Answer: 12.65

Step-by-step explanation:

Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.

[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]

b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x

[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]

Answer:

Step-by-step explanation:

Formula: Y= mx+b

m = slope    |    b = y-intercept

Equation: Y>2x+1

The Y-Intercept is the (1)

Shade above the dotted line because it is >.

You always shade on the left if the left side of the equation is > than the right.

If ≥ Then the line is Solid  ||||  If > Then the line is dotted.

Answer:  

$20 <= X < = $21

Step-by-step explanation:

You are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo,  x represents the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

x-5 = -9

add 5 to both sides

x = -4

Answer:

x = - 4

Step-by-step explanation:

x - 5 = -9

=> x = -9 + 5

=> x = - 4

Answer:

What do you need help with

Step-by-step explanation:

Answer: (7, 6)

Step-by-step explanation: Use the midpoint formula but instead you’re finding the coordinates of the other point(not sure if that makes sense). There’s a shorter way tho

Answer:

B.

Step-by-step explanation:

When you multiply the two decimals you get 376.74 which is closer to 360 than 400

Step-by-step explanation:

Hey there!

Given;

ABC is a Right angled triangle.

Taking angle "A" as reference angle, we get;

Perpendicular (p) = BC

hypotenuse (h) = 13cm

Base(b) = 8cm

We know;

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex]or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

[tex] BC = \sqrt{ {13}^{2} - {8}^{2} } [/tex]

[tex] BC = \sqrt{169 - 64} [/tex]

[tex] BC = \sqrt{105} [/tex]

[tex] BC = 10.246[/tex]

Therefore, BC = 10.246cm.

Hope it helps...

Answer: 302

Step-by-step explanation:

Answer:

Decimal and fractions numbers are non-integers

Step-by-step explanation:

The answer is the third choice because integers are whole numbers that can be positive, negative, or zero. -1.3, however, is not a whole number, so it is not an integer. The reason is the third choice as decimals and fractions are not integers. Hope it helps!

Answer:

So he could use 3 pounds for apples, and two for bananas.

Step-by-step explanation:

Answer:

C) y − 5 = −(x − 2)

Step-by-step explanation:

Answer:

1.6hours

Step-by-step explanation:

We know that Speed= distance/ time

But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.

And the distance is given as 800 miles

Then, what we need is to substitute the given Distance into the equation of time.

t= 1/500d. Where d= 800 miles

t= (1/500) × 800 miles

t= 800 miles/500

t= 1.6hours

Hence, it will take the airplane to travel 800 miles , 1.6hours

Answer:

f(2) = 28

Step-by-step explanation:

f(x) = 2(x)2 + 5(x+2)

f(2) = 2(2)2 + 5(2+2)

= 4.2 + 5(4)

= 8 + 20

= 28

hope this help you

Answer:

x = 1.6666666667

Step-by-step explanation:

x = 2×2 + 5x + 10

= 2x + 5x + 10

-10= 2x+ 5x - x

-10=6x

1.6666666667 = x

x= 1.6666666667

Answer:

5.37

Step-by-step explanation:

if 12 roses cost 64.44 and the price of one is x then

12x=64.44

x=64.44/12

x=5.37

Answer:

12

Step-by-step explanation:

You need to use the pythagorean theorem. a^2 +b^2=c^2. Label the sides with a, b, and c. The longest side is c, but it does not matter for the other two sides.

Answer:

y = 12

Step-by-step explanation:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] - [tex]b^{2}[/tex]

[tex]c^{2}[/tex] = [tex]35^{2}[/tex] - [tex]37^{2}[/tex]

[tex]35^{2}[/tex] = 1,225

[tex]37^{2}[/tex] = 1,369

1,369 - 1,225 = 144

[tex]\sqrt{144}[/tex] = [tex]c^{2}[/tex]

[tex]\sqrt{144}[/tex] = 12

Answer:

336 miles

Step-by-step explanation:every gallon goes 21 miles so

2gallons= 42 miles

3gallons =63 miles

16 gallons  x 21 miles

Answer:

336

Step-by-step explanation:

for every one gallon he goes 21 miles

21+21=42         2 gallons

42+42=84       4 gallons

84+84=168      8 gallons

168+168=336  16 gallons

Answer:

d) 1/2 ÷ 4 = 1/2 • 4/1

Step-by-step explanation:

when dividing fractions use keep change flip (keep the first fraction, change the sign to multiplication, flip the second fraction)

when multiplying just multiply straight across

Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i think its b but im not 100% sure

A high-pressure air mass is most likely to bring lower humidity. the correct answer would be an option (A).

In general, humidity is a measurement of the amount of water vapor in the air. Meteorologists often divide water vapor in the atmosphere into two categories: absolute humidity and relative humidity. Dew point is an exact statistic that helps us comprehend how damp and humid it feels outside.

A high-pressure air mass typically brings lower humidity because high-pressure air masses are associated with clear and dry weather conditions.

The sinking motion of air in a high-pressure system compresses and warms the air, causing the relative humidity to decrease as moisture is squeezed out of the air.

This results in lower humidity levels compared to a low-pressure system, which brings moist air from the surrounding areas.

Hence, the correct answer would be option (A) lower humidity.

Learn more about the humidity here:

https://brainly.com/question/22069910

#SPJ6

Answer:

Rs. 52[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given parameters:

Amount spent on buying a food = Rs. 25.75

Amount spend on buying pen  = Rs. 10.25

Amount given out to friend = Rs. 16.5

Unknown:

The total money he initially had = ?

Solution:

The total money he initially had :

       = amount spent on food + amount spent on pen + amount given to friend

      = Rs. 25.75  + Rs. 10.25  +  Rs. 16.5

       = Rs. 52.5 or  Rs. 52[tex]\frac{1}{2}[/tex]

Answer:

The statement is;

A number is a prime number if and only if it has 1 and itself as factors

The truth value of this statement is true T

Step-by-step explanation:

The biconditional statement will use the statements if and only if.

Thus, we have;

A number is a prime number if and only if it has only 1 and itself as factors

The truth value of the biconditional statement is T ( true)

Answer:

I think its C or A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A function can never have a 'x' with two values.

If you say f(x) = a, then there is only one number 'a' which satisfy. If however, you say f(x) = a & f(x) = b, then it's not a function, since there are two values of f(x).

Following this,

A: x = 3 has two f(x) = 2 & 1, so it's not a function

Similarly you can check for all.

There is only one table which x has a unique value.

Correct B

Note that, f(x) = a & f(x) = b, doesnt represent a function. If it is, then a = b is must.

Also, a function is possible only when it satisfies this. But

f(x) = a, f(y) = a, f(z) = a is possible.

Answer:

I believe the answer is b=1/2(d-g)

Step-by-step explanation:

multiply to remove the variable from the denominator.