find ()
(x).
For f(x) = 4x +1 and g(x) = x2-5, find
BRAINLIST

The amount of Plutonium that remains after 36 months is 0.05

The equation for the amount of Plutonium after t months is

[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]

After 36 months; we have: t = 36.

Substitute 36 for t in P(t).

So, we have:

[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]

Simplify the exponent

[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]

Evaluate the exponent

[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]

Multiply

[tex]\mathbf{P(36) = 0.052848}[/tex]

Approximate to 2 decimal places

[tex]\mathbf{P(36) = 0.05}[/tex]

Hence, the amount that remains is 0.05

Read more about exponential functions at:

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Answer:

∠A = 98

Step-by-step explanation:

total sum of angles in a quadrilateral is 360

∠A + ∠B + ∠C +∠D = 360

∠A + 59 + 103 + 100 = 360

∠A + 262 = 360

∠A = 360- 262

∠A = 98

Answer:

the slope of the points (4,-3) and (5,0) is 3

Step-by-step explanation: I used the formula y2-y1 over x2-x1 will give you the answer hope this helped!

Answer:

[tex]\boxed {\boxed {\sf m=3}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line that passes through (4, -3) and (5,0).

The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.

[tex]m= \frac{ \Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]

In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:

Substitute the values into the formula.

[tex]m= \frac{0 - -3}{5-4}[/tex]

Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.

[tex]m= \frac{3}{5-4}[/tex]

Solve the denominator.

[tex]m= \frac{3}{1}[/tex]

Divide.

[tex]m=3[/tex]

The slope of the line is 3.

Answer:

124.409

Step-by-step explanation:

sana makatulong sa inyong lahat

Answer:

Step-by-step explanation:

6 times 2 is 12

42 multiplied by 2 is 84

therefore the answer is 12 days.

Answer:

3x²–6x–5

Step-by-step explanation:

3x²–2x+1–4x–6

collect like terms

3x²–2x–4x–6+1

3x²–6x–5

Answer:

11

Step-by-step explanation:

10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11

Answer:

58

Step-by-step explanation:

Answer:

0.24 liters per serving (240 ml)

Step-by-step explanation:

[tex]1.92/8=0.24[/tex]

equivalent to 240 mililiters

Hope this helps

Answer:

15227707.5

More info

Step-by-step explanation:

45x676787 the divide it by 2

Answer: D is my best guess

Step-by-step explanation:

Answer:

commutative property of multiplication

Step-by-step explanation:

Name the property used: commutative property of multiplication

Answer: commutative property of multiplication

[tex]\begin{cases} \stackrel{apples}{10^3}\\ \stackrel{grapes}{10^2}\\ \stackrel{oranges}{10^1} \end{cases}\qquad \begin{cases} \stackrel{lbs}{32}\\ \stackrel{lbs}{25}\\ \stackrel{lbs}{42} \end{cases}\qquad \begin{array}{rllll} 10^3\cdot 32\\ 10^2\cdot 25\\ +\qquad 10\cdot 42\\\cline{1-1} 34920&lbs \end{array}[/tex]

Answer:

180

Step-by-step explanation:

all 3 angles of all triangles sum to 180

if one angle = 60, the other two angles sum to 120

a 3:5 ratio means one angle is 3/8 of 120 and the other is 5/8 of 120

3/8 times 120 = 3(120)/8 = 3(15)= 45 degrees

5/8 times 120 = 5(120)/8 = 5(15) = 75 degrees

45+75 = 120

120+60 = 180 degrees = sum of all 3 angles

in case you need an explanation and can I be get brainlest?

Answer:

6x_+7=55, the answer is 13, why? well because if you add 6+7 you will have 13, now you can multiple that by 5, and you will have 55 as an answer, did I helped you?

Step-by-step explanation:

check the image for detailed solution

Answer:

Take the root of both sides and solve.

[tex]x = \sqrt{6} , - \sqrt{6} [/tex]

Answer:

Take the root of both sides and solve:

[tex]x = \sqrt{6}, - \sqrt{6} [/tex]

Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

Answer:

solving for b is b ≤ 15/2 - 3d/10

solving for d is d ≤ 25 - 10b/3

Answer:

C (Top Right)

Step-by-step explanation:

First things first, the line is dotted which makes it one of the answers since it's less than, instead of equal to or less than. Both numbers are positive, the bottom left graph goes into the -x while the top right graph keeps the slope increasing positively by 1/3 + 1.

The boundary line of the inequality y <1/3x+ 1 is represented by the graph C.

Let us find two points on the line.

You can choose any x-values you like and calculate the corresponding y-values using the equation.

When x=0 then y=1.

When x=3, then y=2

Now let us find the graph in which the line passes through (0, 1) and (3, 2).

The boundary line should be dotted because it is less than and doesnot have equal symbol.

When we observe these two criteria's the graph C is the graph for inequality y <1/3x+ 1.

Hence, Graph c correctly shows the boundary line of the inequality y <1/3x+ 1.

To learn more on Graph click:

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Answer:

The answer to this is c) 4.

Answer:

the n(P) of P = {3, 5, 7, 11, 13, 17, 19} is "128".

Step-by-step explanation:

n(P) is the Cardinality of the set P. Its formula is 2^k.

where k = number of elements in the set.

Hope this helps :)

Answer:

1724

Step-by-step explanation:

first find the nth term = -19n+5

then do -19×91+5= 1724

[tex] \: \: \: \: \: \: [/tex]

Step-by-step explanation:

speed= Distance/Time

Time Distance/Speed

[tex] \: \: \: \: \: \: [/tex]

Answer:

X-intercept: (25,0)

Y-intercept: (0,55)

Step-by-step explanation:

Answer:

m = -6 (slope)

b = (1/2)

The Y posistion is (0, 0.5) and the slope of the graph is -6/1 (down 6, right 1).

Some examples of where the line is could be:

(1, -5.5)

(-1, 6.5)

Answer:

X = 7/3y - 10/3

Step-by-step explanation:

Add - 7y to both sides = -3x + 7y = 10 - 7y

= -3x = 10 - 7y

Divide both sides by -3

-3x/-3 = 10/-3 - 7y/-3

x = 7/3y - 10/3