which of the following is an example of exponential growth? A. y=4e^ B. y=2(0.5)^x C. y=3 (1/4) ^x D. none of these

The equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.

A radioactive substance is a substance that decays spontaneously. Recall that the half life is the time taken for half of the radioactive substance to remain.

We know that; N =No(0.5)^t/t1/2 hence, the equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.

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Answer:

A

Step-by-step explanation:

took the test

Answer:

D. 29

Step-by-step explanation:

If a = 6 and b = 5, fill in the numbers in place of the variables (letters) in 4a + b

= 4•6 + 5

= 24 + 5

= 29

4a means 4 times a. Multiply first, and then add.

Answer:

Corresponding angles are always congruent

Answer:

[tex]y=\frac{x}{5}[/tex]

Step-by-step explanation:

hope this helps

Answer:

C) (-2,-16)

Step-by-step explanation:

It is the only point that does not fall on the slope 6x - 5, due to the nearest exact coordinate the line passes through is (-2,-17).

Answer:

D. 32%

Step-by-step explanation:

In an exponential function, exponential growth is modeled by f(x) = a(1 + [rate])ˣ. In this function, the initial value a, which is 2.3, is multiplied by 1.32 x times, so 1.32 represents the actual growth happening.

This means that to find the actual rate of exponential growth, you’d have to set 1.32 equal to (1 + [rate]). If (1 + [rate]) = 1.32, then the rate = .32, and because rates are written as percentages, we change .32 to 32%.

The conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Let's suppose P(A) is the probability of adults who lift weights regularly.

P(A) = 18% = 0.18

Similarly,

P(B) = 32% = 0.32

P(A∩B) = 0.07

We know:

[tex]\rm P(A|B) = \dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]\rm P(A|B) = \dfrac{0.07}{0.32}[/tex]

P(A|B) = 0.219  or

P(A|B) = 21.9%

Thus, the conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.

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Answer:

[tex]14137.8[/tex] to the nearest tenth

Step-by-step explanation:

write the equation of sphere volume:

[tex]\frac{4}{3} \pi r^{3}[/tex]

substitute the radius to the equation :

[tex]\frac{4}{3} \pi* 15^{3}[/tex]

solve by calculator:

[tex]\frac{4}{3} \pi* 15^{3}=14137.17\\[/tex]

≈[tex]14137.8[/tex] to the nearest tenth

Answer:

rise is 11 and run is 2

Step-by-step explanation:

i believe but not fully sure

Answer:

5.5

Step-by-step explanation:

Answer: x =5

Step-by-step explanation:

subtract 7 on both sides than divide by 2

Answer:

x = 5

Step-by-step explanation:

Given: 2x + 7 = 17

1. Subtract 7 from both sides

2x + 7 - 7 = 17 - 7

2x = 10

2. Divide both sides by 2

2x ÷ 2 = 10 ÷ 2

x = 5

Final answer: x = 5

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Answer:

The last one  5(2x + 3)

Step-by-step explanation:

5 × 2x = 10x

5 × 3 = 15

10x + 15

Answer:

step 1. 6x2=12 first place way

step 2. 12×2=24

step 3. 24+6=30 second place way

If he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules

The formula for calculating the kinetic energy of an object is expressed as:

KE = 1/2mv²

where:

m is the mass of an object

v is the velocity

If he’s moving at 2 meters/second and has 40 joules of kinetic energy, the mass is calculated as:

40 = 0.5(2)²m

40 = 2m
m = 20 kg

If he doubles his speed when he sees his friends ahead of him, his kinetic energy will be:

KE = 0.5(20)(4)²
KE = 10*16
KE = 160joules

Hence if he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules

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Step-by-step explanation:

−3(x−4)+x+1

Evaluate this with x=−6

−3(−6−4)+−6+1

=25

Hey there!

[tex] \displaystyle \red{ \boxed{ \green{25}}}[/tex]

-3(x - 4) + x + 1

>> Substitute -6 for x :

⇒ -3(-6 - 4) + (-6) + 1

⇒ -3(-10) - 6 + 1

⇒ 30 - 6 + 1

⇒ 24 + 1

⇒ 25

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Answer:

h = 5.80

[tex]V = \pi r^2h[/tex]

[tex]h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79[/tex] ≈ 5.80

Answer:

The peanut is 12.59 feet away from the base of the platform.

Step-by-step explanation:

When solving these equations, we can first start out by noticing that this requires a trigonometry function.

There are three types : cos, sin, and tan.  (cosine, sin, and tangent)

Cos is for finding and dealing with the adjacent and the hypotenuse.

Sin is for finding and dealing with the opposite and the hypotenuse.

Tan is for finding and dealing with the opposite and the adjacent.

The opposite is the bottom base, to the peanut.

The adjacent is the height from the bottom base, to the top.

The hypotenuse is the top, to the peanut.

27 feet would be the adjacent.

Since we don't know bottom base to the peanut, we would call this x. (opposite)

*Side note*  :   The degrees is always in between the adjacent and hypotenuse.

For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :

tan (degrees) = opposite/adjacent

So, now we simply put in the data.

tan 25 = x/27

We can now, first get x alone by multipling both sides by 27.

27 * tan 25 = x

Plug this into a scientific calculator :

27 * tan 25

We the answer to be 12.59

The peanut is 12.59 feet away from the base of the platform

Answer:

Answer: 10x^2 -13x-3

Foil method

Step-by-step explanation:

I beleive its right.

Answer:

A

Step-by-step explanation:

A fireball

================================

[tex] \large \sf \underline{Question:}[/tex]

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \qquad \huge \bold{8cm}[/tex]

To solve for the area of rectangle, you use this formula A = length × width. But we're doing it reversal, we will divide the width to the area

Therefore, The length is 8cm.

================================

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a rectangle having area 48 cm² and width 6 cm . We are asked to find the length of rectangle .

We know that ,

[tex] \qquad \qquad\underline{\boxed{\frak{Area_{(Rectangle)} = l \times w}}}[/tex]

Where ,

SOLUTION : -

We are finding value of length by substituting value of width as 6 cm and area as 48 cm² in the formula . So ,

[tex] \quad\longmapsto \qquad \:48 = 6 \times l[/tex]

or ,

[tex] \quad\longmapsto \qquad \:48 = 6l[/tex]

Dividing with 6 on both sides :

[tex] \quad\longmapsto \qquad \: \cancel{\dfrac{48}{6}} = \dfrac{ \cancel{6}l}{ \cancel{6}} [/tex]

We get ,

[tex] \quad\longmapsto \qquad \: \orange{\underline{\boxed{ \frak{l = 8 \: cm}}}} \quad \bigstar[/tex]

Verifying : -

We are verifying our answer by substituting value of length and width in formula and equating it with given area . So ,

Therefore , our answer is correct .

Answer:  The original number was 18.25 or 18 1/4

18.25 plus 6 is 24.25

24.25 times 2 is 48.5

Step-by-step explanation:

mark as brilliant answer

Answer:

18.25

Step-by-step explanation:

x = number

add 6:    (x+6)  

double it :   2(x+6)

result = 48.5

2 (x+6) = 48.5

x+6 = 24.25

x = 18.25

Answer:

273

Step-by-step explanation:

Answer: 273

Step-by-step explanation: when you divide 16.38 by 0.06 you get 273.

Answer:

(17,-1)

Step-by-step explanation:

The solution in the image

Answer:

5/6(83.33%) I think this should be the probability of it.

All the area measure units should have square above them.

Hence, option A, C, D is correct.

Answer:

a) c) d)

Step-by-step explanation:

Length is a one-dimensional measure, therefore it is measured in single units.

⇒ m

⇒ cm

⇒ ft

The area of a shape is a two-dimensional quantity (e.g. length × width), therefore it is measured in square units.

⇒ m × m = m²

⇒ cm × cm = cm²

⇒ ft × ft = ft²

The volume of a shape is a three-dimensional quantity (e.g. length × width × height), therefore it is measured in cubic units.

⇒ m × m × m = m³

⇒ cm × cm × cm = cm³

⇒ ft × ft × ft = ft³

Therefore,

Answer:

  29.05°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and side lengths in a right triangle. In your triangle, the sides adjacent and opposite angle D are given. The relevant relation is ...

  Tan = Opposite/Adjacent

__

Using the given values, we have ...

  tan(D) = (25 ft)/(45 ft) = 5/9

The value of the angle is found using the inverse tangent function.

  D = arctan(5/9) ≈ 29.05°

The measure of angle D is about 29.05°.

Answer:

$497.28

Step-by-step explanation:

First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:

16/100 = 0.16

Then, multiply 0.16 by 592, to get 94.72.

Then, subtract this number from 592:

592 - 94.72 = 497.28

Answer:

48, 110,140

Step-by-step explanation:

Question 1

V= 4 * (6+6)

V=4 * 12

V= 48

Question 2

V= 11 * 10

V= 110

Question 3

V= (7 + 7) *10

V= 14 * 10

V= 140

Answer:

$4000

Step-by-step explanation:

so $2800 was the starting price

100%-30%=70%

So 2800=70%

2800/7=400

400=10%

400*10=$4000