Which of the three situations given below is best modeled by an exponential function?

I. A bacteria culture doubles in size every day.

II. A plant grows by 1 inch every 4 days.

III. The population of a town declines by 5% every 3 years.

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]

Solving:

= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]

= [tex]\frac{2.1875}{4}[/tex]

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

[tex]\sqrt{0.546875}[/tex]

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

Answer:

0.5

Step-by-step explanation
Because it is a standar deviation

Answer:

12 different vacation caombinations

Step-by-step explanation:

has 3 options of Theme Park and 4 options of length of trip

[tex]C=(3)(4)=12[/tex]

Hope this helps

Answer:

32.5 square feet

Step-by-step explanation:

Area of a trapezoid

Solving

Answer:

32.5 square feet

Step-by-step explanation:

here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,

formula for the area of a triangle is 0.5 × base × height

therefore,

the area of the triangle is 7.5

the area of a square is equal to the length of the side squared.

5^2 = 25

the sum of 25 + 7.5 = 32.5

final answer is 32.5 square feet

if you need any further guidance make sure to ask:)

Answer:

Sugar cookie dough packages cost 14 dollars each, and oatmeal cookie dough packages cost 16 dollars each.

Step-by-step explanation:

Let s equal the cost of a sugar cookie dough package, and o equal the cost of oatmeal cookie dough packages.

6s + 2o = 116

9s+12o = 318

therefore,

18s+6o = 348

18s+24o = 636

Subtracting them, we get -18o = -288, or 18o = 288

Therefore, o = 16, and 6s+32=116, so 6s=84, so s = 14

Answer: 26

Step-by-step explanation: The third length is the hypotenuse or the longest side

Answer:

answer below

Step-by-step explanation:

3/5=60%

1/50=2%

9/10=90%

9/5=180%

18/60=30%

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams.

[tex]d = \dfrac{73.92}{8.25}\\d = 8.96[/tex]

A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

[tex]d = \dfrac{39.35}{5}\\\\d = 7.87[/tex]

Thus, A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

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Answer:

Capital Gains

Step-by-step explanation:

selling for more than you bought is a gain

The price at which the Nepali bags should be sold in order to make a profit of 140% is $21.02.

Profit is total revenue less total cost.

The first step to convert Rs. 800 to US dollars: 800 / 105 = $7.62

The second step is to determine the total cost including taxes: 1.15 x 7.62  = $8.76

Selling price = (1 + 1.40) x 8.76 = $21.02

To learn more about percentages, please check: https://brainly.com/question/25764815

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

Answer:

Launch may not occur if the temperature is 35° F or colder.

would be your answer.

Step-by-step explanation:

The temperature cannot exceed 99° F for 30 consecutive minutes. Peak wind speed is 30 knots. When the wind direction is between 100 degrees and 260 degrees, the maximum wind speed may be as low as 24 knots.

-121-1,649°C.

Answer:

78:159*100 =

(78*100):159 =

7800:159 = 49.06

Answer: hii <3

The Answer Is = −6x−14

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew :)

Answer:

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

Step-by-step explanation:

In order to solve this, you need to expand by the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

[tex]\Longrightarrow: \sf{A(B-C)=AB-AC}[/tex]

-6(x+2)-2

Expand.

-6*x=-6x

-6*2=-12

Then, rewrite the expression down.

-6x-12

-6x-12-2

Subtract the numbers from left to right.

-12-2=-14

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

I hope this helps. Let me know if you have any questions.

Good luck with your assignment!

Answer:

probability = favorable cases / true cases

p(A)=5/20 simplified by 5 = 1/4

answer : the probability that the block is one of the large yellow it's 1/4.

Answer:

180 weeks you have to convert the percentage to a decimal and multiple it to 3000

Answer:

See below:

Step-by-step explanation:

Y intercept    is 'short' for y-AXIS intercept...

 the line intercepts the y axis at d = 7 blocks

the slope =   change in y  / change in x

                          - 5           /      1           = - 5   (using the points on the graph)

[tex]~~~~~~3x-20=223\\\\\implies 3x = 223+20\\\\\implies 3x = 243\\\\\implies x = \dfrac{243}{3}\\\\\implies x =81\\\\\text{The number is 81.}[/tex]

Answer:

$150,000.

Step-by-step explanation:

Check the picture below.

Answer:

A=27,500(1-.09)² or A=27,500(0.91)²

The variation is a joint variation, and the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

The direct and the inverse variations from the question can be represented using:

[tex]s = k\frac{rf}{b}[/tex]

Where:

From the question, we have:

r = 40; f = 39; b = 28

So, we have:

[tex]s = k\frac{rf}{b}[/tex]

[tex]10 = k\frac{40 * 39}{28}[/tex]

Make k the subject

[tex]k = \frac{10 * 28}{40 * 39}[/tex]

Evaluate

k = 0.18

Substitute k = 0.18 in [tex]s = k\frac{rf}{b}[/tex]

[tex]s = 0.18\frac{rf}{b}[/tex]

Hence, the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

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Answer:

C 31

Step-by-step explanation:

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

Answer: y=3

Step-by-step explanation:

Answer:Reflecting over the y-axis = (x,y) → (-x,y)

So T will be (1,3) , U (3,-17) and V (-12. -8)

So D

Step-by-step explanation:

Answer:

T (1, 3), U (3, −17), V (−12, −8)

Step-by-step explanation:

To find the image as it is reflected from the preimage across the y-axis, apply the transformation rule, (x,y)→(−x,y), to each of the preimage points.

T(−1,3)→T'(1,3)

U(−3,−17)→U'(3,−17)

V(12,−8)→V'(−12,−8)

Draw lines between the found vertices to construct the reflected figure.

Therefore, the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis is the figure with vertices T'(1,3), U'(3,−17), and V'(−12,−8).

Answer:

(-13/6, -12)

&

(2, 13)

Step-by-step explanation:

x · y = 26       -------> x = 26/y

y = 1 + 6x

SUB for y

x(1 + 6x) = 26

x + 6x² = 26

SOLVE for x

6x² + x - 26 = 0

6x² + 13x - 12x - 26 = 0

6x(x - 2) 13(x - 2) = 0

(6x + 13)(x - 2) = 0

x = -13/6 or 2

Test x = -13/6 for both equations

Equation 1

-13/6 · y = 26

y = -156/13

y = -12

Equation 2

y = 1 + 6(-13/6)

y = 1 - 13

y = -12

-12 = -12 ✅

Test x = 2 for both equations

Equation 1

2 · y = 26

y = 26/2

y = 13

Equation 2

y = 1 + 6(2)

y = 1 + 12

y = 13

13 = 13 ✅

Hope this helps & God bless!

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Explanation:

There are two ways to do this problem.

Method 1 involves listing out the terms until we reach the seventh one.

We see that the trapezoid is term 7.

-------------

Method 2 is faster and the one I recommend.

Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.

7/4 = 1 remainder 3

The remainder 3 means that the answer is found in term 3, which is the trapezoid.