a bacteria culture started with 200 bacteria and is growing by 40% each day

Answer:

Minimum = -1

Maximum = 3

Step-by-step explanation:

∛-10+9 = ∛-1 = -1

∛18+9 = ∛27 = 3

Answer:

(a) Expanded form:

\(((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)\)

(b) The value of the expression: -21

Step-by-step explanation:

Given

\(\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)\)

Solving (a): The expanded form:

This means that we substitute the values of i from 1 to 4 in the above expression.

So, the expression becomes:

\(((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)\)

Solving (b): The value of the expression

To do this, we simply substitute the given values of X1, X2....... in the expression.

This gives:

So, the expression becomes:

\(((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)\)

Simplify each bracket

\(((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)\)

\(0 + 29 -48 -2\)

\(-21\)

Hence, the result of the expression is -21

Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

Answer:

5/10 or 1/2

Step-by-step explanation:

5 is half of 10 and 1/2 is the same as 5/10

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer: p = 1/25

Step-by-step explanation:

Ok, you know that the probability of rolling a six is p = 1/5

now, if you want to have two sixes, then you have two events with a probability of 1/5.

And as you know the joint probability for two events is equal to the product of the probabilities, then the probability of rolling two sixes is:

p = (1/5)*(1/5) = 1/25.

Answer:

2 out of seven or 2/7 or 28.5%

Step-by-step explanation:

there are two "yeses" out of 7 total choices

Answer:

\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)

Step-by-step explanation:

To calculate the margin of error for the survey, we need to use the formula:

\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

\(\large \text{Range of values = 32\% - 22\% = 10\%}\)

Substituting this value into the formula, we get:

\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)

Therefore, the margin of error on the survey is 5%.

The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

To know more about an exponential expression follow

https://brainly.com/question/20168834

#SPJ1

Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

Answer:

A is true

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

\(\textbf {Allow me to assist you.}\)

\(\textrm {Let's simplify the terms under the radicals.}\)

\(\mathsf {\sqrt{8} - \sqrt{72} + \sqrt{50}}\)

\(\mathsf {\sqrt{2 \times 2^{2}} - \sqrt{2 \times 6^{2}} + \sqrt{2 \times 5^{2}}}\)

\(\mathsf {2\sqrt{2} - 6\sqrt{2} + 5\sqrt{2}}\)

\(\boxed {\sqrt{2}}\)

\(\textbf {The answer is A.}\)

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

The percentage of the second is greater than the first and the first number is less than the second will be 10% and 9.09%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolised by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Each pair of numbers determines by what percentage the second is greater than the first. Then we have

P = [(110 - 100) / 100] x 100

P = (10/100) x 100

P = 0.10 x 100

P = 10%

The percentage of the first number is less than the second is given as,

P = [(110 - 100) / 110] x 100

P = (10 / 110) x 100

P = 0.0909 x 100

P = 9.09%

The percentage of the second is greater than the first and the first number is less than the second will be 10% and 9.09%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

D is the answer

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 14\ patties}\)

Step-by-step explanation:

Total packages = 3

2 packages weighing 1.11 pounds = 2 × 1.11

= 2.22 pounds

1 package = 1.33 pounds

Total weight of packages:

= 2.22 + 1.33

= 3.55 pounds

Each hamburger patty should weigh 0.25 pounds.

Highest number of burgers that can be made:

= Total weight of packages / weight of a hamburger patties

= 3.55 / 0.25

= 14.2 patties

≈ 14 patties

\(\rule[225]{225}{2}\)

Yes, to see if there is a non-linear relationship between X and Y.

The intensity and direction of a relationship between two variables is indicated by a correlation coefficient, which is a number between -1 and 1. In other words, it illustrates the degree to which measurements of two or more variables are comparable throughout a dataset.

Given:

The correlation coefficient r between x and y is 0.97.

As, On a scatterplot, the correlation coefficient, or r, quantifies the magnitude and axis of a linear relationship between two variables.

and, The relationship between two variables is generally considered strong when their r value is larger than 0.7.

So, here the correlation of 0.97 indicates a strong positive linear relationship between variable x and y.

Learn more about coefficient Correlation here:

https://brainly.com/question/9436626

#SPJ1

The proof for  AB ≅ CD is:

Step                 Statement                                Reason

 1              ∠B ≅ ∠D, BC || AD                          Given

 2               ∠BCA ≅ ∠CAD                Alternate Interior angles

 3                      AC ≅ AC                             common side

 4                 ΔABC ≅ ΔADC         Angle-Angle-Side rule of congruency

 5                   AB ≅ CD            Corresponding sides of congruent triangle

Consider triangle ABC and triangle ADC.

Here, side BC is parallel to side AD.

From the attached figure we can observe that AC is a transversal.

so, ∠BCA and ∠CAD would be alternate angles formed by two parallel lines and transversal.

By property of  Alternate Interior angles,

∠BCA ≅ ∠CAD

Also, we can observe that side AC is common side to ΔABC and ΔADC.

We rewrite this proof as,

Step                 Statement                                Reason

 1              ∠B ≅ ∠D, BC || AD                          Given

 2               ∠BCA ≅ ∠CAD                Alternate Interior angles

 3                      AC ≅ AC                             common side

 4                 ΔABC ≅ ΔADC         Angle-Angle-Side rule of congruency

 5                   AB ≅ CD            Corresponding sides of congruent triangle

This is the required proof.

Learn more about congruent triangles here:

https://brainly.com/question/29789245

#SPJ1

Elvira's walking speed is 5 miles per hour, and Aletheia's walking speed is approximately 4.17 miles per hour.

Let's denote Elvira's walking speed as x (in miles per hour).

Then, Aletheia's walking speed is x - 0.6 (since she walks 0.6 miles per hour slower than Elvira).

We know that Elvira walked to the coffee shop in half an hour, covering a distance of 2.5 miles.

This means her speed can be calculated as:

x = distance / time = 2.5 miles / 0.5 hours = 5 miles per hour

Now, we can find Aletheia's speed using the equation we found earlier:

x - 0.6 = Aletheia's speed

We also know that Aletheia walked to the coffee shop in three-fifths of an hour (which is 0.6 hours), covering the same distance of 2.5 miles.

This means her speed can be calculated as:

x - 0.6 = distance / time = 2.5 miles / 0.6 hours ≈ 4.17 miles per hour

Learn more about walking speed here: https://brainly.com/question/24872445

#SPJ1

The equation of circle is x² + y² = 36.

We have,

Center= (0, 0)

Passing point = (0, 6)

We know the equation of circle is

(x-h)² + (y-k)² = r²

where (h, k) be the center and r be the radius.

Now, the radius of circle is

= √(6-0)² + (0-0)²

= √36

= 6 unit

So, the equation of circle

(x-0)² + (y-0)² = 6²

x² + y² = 36

Learn more about Equation of Circle here:

https://brainly.com/question/29288238

#SPJ1

Answer:

D(30,60)

Step-by-step explanation:

It was way outside the other points that are around the line.

The point (30,60) is a high leverage point on the regression plot.

High leverage points are those that are extreme but follow the regression equation's trend.

High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.

Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.

Hence, the point (30,60) is a high leverage point on the regression plot.

Learn more about high leverage point here:

brainly.com/question/18405415

#SPJ2

Answer: x^2+4

Step-by-step explanation:

Answer:

x^2 - 2x+4

Step-by-step explanation

Answer:

D.

Hope this helps!

Step-by-step explanation:

A and C are both squares and B is a rectangle but is different because the values are in different spots than the on the solid figure shown.

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Answer:

-3

Step-by-step explanation:

Answer:

\((x-4)^2 + y^2= 100\)

Step-by-step explanation:

edgenuity 2020

hope this helps!

Answer:

17

Step-by-step explanation:

3(5)+2=17

Answer:

17

Step-by-step explanation:

3x+2   substitute 5 for x

3(5) +2 distribute

15+2 solve

17

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

Answer:

\(? \times \frac{?}{?} \)

d

Answer:

2 by 25 feet.

Step-by-step explanation:

Let L and W be the length and the widht of the field

we want W = L + 23 and W x L = 50

So

(L + 23) x L = 50

\(L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2\)

Since L must be positive then L =2 and W = 2 + 23 = 25.

Answer:

a) 0.0187

b) 0.0943

c) 0.2959

Step-by-step explanation:

a) 9/31 * 8/30 * 7/29 = 0.0187

b) 10/31 * 9/30 * 8/29 + 12/31 * 11/30 * 10/29 + 9/31 * 8/30 * 7/29 = 0.0943

c) 21/31 * 20/30 * 19/29 = 0.2959

x-intercept = (2, 0)

y-intercept = (0, 7.5)

Step-by-step explanation:

The x-intercept can be found by setting y = 0. Thus,

\(15x + 4(0) = 30 \Rightarrow x = 2\)

Therefore, the x-intercept is (2, 0).

The y-intercept can be found by setting x = 0:

\(15(0) + 4y = 30 \Rightarrow y = 7.5\)

Therefore, the y-intercept is at (0, 7.5)