What is the value of r in this equation for exponential decay?
[tex]f(x) = 800 ({.85})^{x} [/tex]
​

Answer:

1/2

Step-by-step explanation:

Let the coordinate points be (6,3) and (4,2)

Slope = y2-y1/x2-x1

x1 = 6, y1 = 3, x2 = 4 and y2 =2

Substitute

slope = 2-3/4-6

Slope = -1/-2

Slope = 1/2

Hence the slope of the coordinate is 1/2

Note that the other Coordinate was assumed

Answer:

89/160

Step-by-step explanation:

Total number of students= 320

Total number of students=x+y=320

Let x= number of boys

Let y= number of girls

If there are 36 more boys than girls:

36+y=x

x+y=320 ( given x= 36+y)

36+y+y=320

36+2y=320

2y=320-36

2y=284

y=284/2

y=142

Therefore number of girls=142

Since 36+y=x

36+142=x

x=178

Therefore number of boys =178

Fraction of students that are boys=

178/320

89/160

Answer:

23

Step-by-step explanation:

The sum of any two sides of a triangle has to be greater than the other side

Only 23 meets this criteria

Answer:

i think it is 23

Answer:

B and C are volume

A = area/perimeter

D = Perimeter

E = surface area

Answer:

C is your answer good sir

Answer:3/11

Step-by-step explanation:

5+5=10 u add one to the denominator making that 11 and the numartaor is 3

Answer:

120

Step-by-step explanation:

deltamath

120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a 3D figure with 6 rectangular faces.

Given, rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft.

To find the volume of rectangular prism we have to multiply length, width and height.

Volume =Length×Width×Height

Put the values of length, width and height in the above formula.

=10×4×3

=120 cubic ft

Hence 120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ6

Answer:

6+6+6+6

Step-by-step explanation:

Perimeter of square is 24 m.

Perimeter of square = 4 × Side

[tex] \bf \implies \: \large \: 24 \: = \: 4 \: \times \: Side[/tex]

[tex]\bf \implies \: \: Side \: = \: \frac{24}{4} \\ [/tex]

[tex]\bf \implies \: \: Side \: = \: \cancel\frac{24}{4} \: ^{6} \\ [/tex]

[tex]\bf \implies \: \: Side \: = \: 6 \: meters[/tex]

Answer:

64 lb = 29.029912 kg

Rounded to the nearest hundredth is 29.03 kg

hope this helps!

Answer:

4.5 years ; (3.25, 4.75)

Step-by-step explanation:

Given that :

Mean , m = 4

Standard deviation, s = 0.75

The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67

Therefore, the upper quartile Q3:

Q3 = mean + 0.67 * standard deviation

Q3 = 4 + 0.67(0.75)

Q3 = 4 + 0.5025

Q3 = 4.5025

Q3 = 4.5 years

Range of values that contain the middle 68%

According to the empirical rule;

68% is within 1 standard deviation of the mean

Therefore ;

Interval will be ;

Mean ± 1 standard deviation

(4 - 0.75) ; (4 + 0.75)

(3.25, 4.75)

Answer:

5

Step-by-step explanation:

Answer:

All answers in explanation...

Step-by-step explanation:

16: S = more shoes than Ruben   10+s

17: M = money spent on dinner  M-5

18: M = Mary's ringtones   3 + 2M

19: C = cost S= shoe rental    C = S + (3*4)

20:  C= cost   C + 12.75 + (4 * 3)

Hope this helps :)

Answer:

x = 21

Step-by-step explanation:

2x and 42 are alternate angles and are congruent, so

2x = 42 ( divide both sides by 2 )

x = 21

Answer:

y-intercept: (0,)

0, 4e+151

809.366, 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 65.8

Step-by-step explanation:

First multiply 10 x 2=20

then you add 82 and 3.8 which is 85.8

then you subtract 20 from 85.8 and you get 65.8

Answer:

a = 1

b = 9

c = 23

d = 15

Step-by-step explanation:

Expand it out:

(x^2 + 4x + 3)(x+5)

(x^3 +4x^2 +3x + 5x^2 + 20x + 15)

=x^3 + 9x^2 + 23x +15

Answer:

He can plant 10 trees in 2 hours.

Step-by-step explanation:

First you need to find the number of trees he can plant in an hour.

For this purpose, we will divide 40 by 8 to get an idea about how many he can plant in an hour.

Trees planted in an hour = 40/8 = 5

Now for 2 hours = 5*2 = 10 trees.

Answer:

x = 30°

Step-by-step explanation:

Since 2 of the sides are congruent then the triangle is isosceles and the 2 base angles are congruent, both 75°

The sum of the 3 angles in a triangle = 180°, then

x = 180° - (75 + 75)° = 180° - 150° = 30°

Answer:

x=y^2-2

Step-by-step explanation:

This graph, is a parabola that opens to the right.

To answer this question, we just use the vertex form of a sideways parabola- x=a(y-k)^2+h.

In this case, the vertex is (-2, 0), and our value of a is 1, since it opens to the right.

This gives us: x=1(y-0)^2+(-2)

Which simplifies to: x=y^2-2.

Also, the answer to the previous two questions are wrong.

The D value (Domain) is actually [2, ∞)

The R value (Range) is actually "All real numbers" (-∞, ∞)

Let me know if this helps!

Answer:It's composite

Step-by-step explanation:It's composssssiiiiitttteeeee

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a[tex]_{n}[/tex] = a + (n - 1)d

The formula of the sum of nth terms is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2a + (n - 1)d]

∵ An AP has a common difference of 3

∴ d = 3

∵ The nth term is 32

∴ a[tex]_{n}[/tex] = 32

→ Substitute them in the 1st rule above

∵ 32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

∴ a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

∴ S[tex]_{n}[/tex] = 185

→ Substitute the value of S[tex]_{n}[/tex] and d in the 2nd rule above

∵ 185 = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)3]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3(n) - 3(1)]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

∴ 370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

∴ 370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

∵ 370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

∴ 3n² - 67n + 370 = 0

→ Use your calculator to find n

∴ n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

∴ n = 10

∴ The value of n is 10

Answer:

1/12

Step-by-step explanation:

Probability is a ratio derived as the number of possible outcomes divided by the total outcome.

On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)

= 3/6

The probability of rolling a 4  P(4)

= 1/6 (4 appears on one side)

Hence  the probability of rolling an even on the first roll and a four on the second roll

P(En4) = 3/6 * 1/6

= 3/36

= 1/12

Answer:

thx this really helps

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

In 5 + In x = 1

In 5 + In x = In 10 (Because In 10 = 1)

In(5x) = In 10

5x = 10

x = 10/5

x = 2

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

In a 30  60 90 triangle the shortest side is considered to be half the hypotenuse. So in this case, 10 is the hypotenuse and 10/2 = 5.