1.)evaluate each situations if it would result in
erroneous conclusion or not , and justify your answer.
2.) given the two situations, give the best possible results and
give it's conclusion
Evaluate the following 15 points situation if it may result to erroneous conclusions or not. Situation 1: Administrators of certain school may respond to questionnaire that their facilities are adequa

39.8631371388 days will be taken by amoeba to produce a population of 1000 .

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be increased in order to obtain a number x is the logarithm of x to the base b.

So the number of amoebae doubles every cycle (a cycle being four days).  So we just multiply it by 2 every cycle

2 x 2 x 2...

A simple way to write this is using an exponent with a base of 2

2n

where n represents the number of cycles.

2^1 = 2 amoebae after one cycle

2^2 = 4 amoebae after two cycles

2^3 = 8 amoebae after three cycles, and so on

So you can substitute different numbers for n until you find the correct number of cycles, or you can take the base 2 logarithm of the equation.

2n = 1000

log2(2n) = log2(1000)

n = log2(1000)

Remember, n represents the number of cycles, so once you find it you will have to multiply it by the length of each cycle.

log₂(1000) = 9.9657842847 cycles this is the time taken by the amoeba to produce a population of 1000

therefore days taken will be = 9.9657842847 * 4 = 39.8631371388 days

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Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.

Answer:

The answer is not on here but the answer is 40 degree.

Step-by-step explanation:

Answer:

Weight of dog: 34 pounds,

Weight of cat: 12 pounds.

Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: 3c

We can represent the given information in an equation as: d=3c -2...1

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

d=c+22...(2)

3c-2=c+22--->c=12

Therefore subsitute c=12 in equation 2

d=+22

d=12+22

d=34

Therefore, the weight of dog is 34 pounds.

To determine the distance James should swim before reaching land to get home as quickly as possible, we can use the concept of minimizing the total time taken.

Let's consider the time it takes for James to swim and run. The time taken to swim can be calculated by dividing the distance to be swum by his swimming speed of 1.8 m/s. The time taken to run can be calculated by dividing the distance to be run by his running speed of 2.5 m/s.

Since James wants to minimize the total time, he should swim in a straight line towards the shore, forming a right triangle with the distance he needs to run. This allows him to minimize the distance covered while swimming.

Using the Pythagorean theorem, we can find the distance James should swim as the hypotenuse of the right triangle. The distance he needs to run is 800 m, and the distance north of the shore is 300 m. Therefore, the distance he should swim is √(800^2 + 300^2) ≈ 888.8 m.

However, the given answer choices do not include this value. The closest option is 888 m, which is not an exact match. Therefore, none of the given answer choices accurately represent the distance James should swim to get home as quickly as possible.

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Answer:

11

Step-by-step explanation:

55/5 equals 11

Answer:

11

Step-by-step explanation:

55 divided by 5 equals 11

Answer:

46 yards

Step-by-step explanation:

let x = number of lawns mowed per month

let y = number of full landscape maintenance service

y = 2x

100x + 130y = 8,280

100x + 260x = 8,280

360x = 8,280

x = 8,280 / 360 = 23

Melissa provides only lawn service to 23 yards and full landscape maintenance service to 46 yards.

Answer:

Answer:

B. adding 4

Step-by-step explanation:

\(-48+4=-44 \\ \\ -44+4=-40 \\ \\ -40+4=-36 \\ \\ -36+4=-32\)

The center of a circle represented by the equation (x−5)2+(y−6)2=42 is (5, 6).

Let us discuss here circle definition, formulas, important terms with examples in detail. A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry.

The equation of the circle can be written in standard form as follows:

(x - h)² + (y - k)² = r²,

where,

(h, k) is the center of the circle and

r is the radius.

Comparing the given equation with the standard form,

we can see that the center of the circle is at (5, 6) and the radius is √42 = 2√10.

Therefore, the center of the circle represented by the equation (x−5)2+(y−6)2=42 is (5, 6).

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The expected number of choices needed to select the first CS PhD student is 4.

To solve this problem, we can use the concept of geometric distribution. The geometric distribution represents the number of independent and identical trials that are needed to obtain the first success, where the probability of success is p.

In this case, the probability of selecting a CS PhD student on any given trial is 50/200 = 0.25. Therefore, the number of trials needed to obtain the first CS PhD student follows a geometric distribution with p = 0.25.

The expected value of a geometric distribution with parameter p is given by E(X) = 1/p. Therefore, the expected number of choices needed to select the first CS PhD student is

E(X) = 1/p = 1/0.25 = 4

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Answer:

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

The above mentioned properties give us:

Now find the area:

Correct choice is B

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

\(3(2y+1)\) I believe is the solution you seek.

You factor 3 out of 6y + 3, leaving you with the solution.

Hope this helps!

Answer:

1: Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

2: im not suree

Step-by-step explanation:

Answer:

Step-by-step explanation:

The largest 5-digit number is 99999 and the smallest 5-digit number is 10000. If it was mentioned that the largest unique 5-digit number then it would have been 98765 and the smallest 5-digit number would have been 10234.

Hope this answer helps you :)

Have a great day

Mark brainliest

\(y = 1 - 2x.....(3) \\ \\ 3x + 2(1 - 2x) = 10 \\ 3x + 2 - 4x = 10 \\ 3x - 4x = 10 - 2 \\ - x = 8 \\ \frac{ - x}{ - 1} = \frac{8}{ - 1} \\ x = - 8 \\ \\ \\ y = 1 - 2( - 8) \\ y = 1 + 16 \\ y = 17\)

NOTE I FIRST DERIVED THE THIRD EQUATION FROM THE SECOND EQUATION BY MAKING Y THE SUBJECT OF THE EQUATION AND SUBSTITUTED THE DERIVED EQUATION TO THE FIRST EQUATION BY PLUGGING IN 1-2x IN THE PLACE OF Y AND SOLVED SO ON.

(-8,17)

OPTION A IS THE ANSWER.

GOODLUCK

Answer:

A

Step-by-step explanation:

3x + 2y = 10 → (1)

2x + y = 1 ( subtract 2x from both sides )

y = 1 - 2x → (2)

substitute y = 1 - 2x into (1)

3x + 2(1 - 2x) = 10

3x + 2 - 4x = 10

- x + 2 = 10 ( subtract 2 from both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

substitute y = - 8 into (2)

y = 1 - 2(- 8) = 1 + 16 = 17

solution is (- 8, 17 )

The sequence cos(0),cos(π),cos(2π),cos(3π),cos(4π),… can be represented as a function k: N -> R, where N is the set of natural numbers and R is the set of real numbers. The domain of the function is the set of natural numbers, and the codomain is the set of real numbers. The function l: N -> {-1,1}, where l(n) = (-1)^(n).

The sequence 1,14,19,116,… can be represented as a function f: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: f(1) = 1, f(2) = 14, f(3) = 19, f(4) = 116, and so on.
The sequence 13,19,127,181,… can be represented as a function g: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: g(1) = 13, g(2) = 19, g(3) = 127, g(4) = 181, and so on. The domain of the function is the set of natural numbers, and the codomain is also the set of natural numbers. We can see that this sequence is not equal to any of the other sequences given.

The sequence 1,−1,1,−1,1,−1,… can be represented as a function h: N -> {-1,1}, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: h(1) = 1, h(2) = -1, h(3) = 1, h(4) = -1, and so on. The domain of the function is the set of natural numbers, and the codomain is the set {-1,1}. We can see that this sequence is equal to the function f: N -> {-1,1}, where f(n) = (-1)^(n+1).

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To build a concrete block wall, Kamila needs to determine the number of blocks required. The wall dimensions are 12 feet long, 6 feet high, and 8 inches thick. The task is to calculate number of blocks needed for wall.

To calculate the number of blocks needed, we first convert the wall dimensions to inches. The wall is 12 feet long, which is equivalent to 144 inches, and 6 feet high, equivalent to 72 inches. The thickness of the wall is 8 inches.

Next, we calculate the volume of each concrete block. The block measures 16 inches in length, 8 inches in width, and 8 inches in depth, resulting in a volume of 1024 cubic inches.

To determine the number of blocks needed, we divide the total volume of the wall by the volume of each block. The total volume of the wall is obtained by multiplying the length, height, and thickness, which gives 82,944 cubic inches.

Finally, by dividing the total wall volume by the block volume, we find that Kamila will need approximately 81 blocks to build the wall.

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The required answer is Kamila will need 81 concrete blocks to build the wall. To calculate the number of blocks Kamila will need to build the wall, we need to find the volume of the wall and divide it by the volume of each concrete block.

First, let's convert the measurements to a consistent unit. Since the dimensions of the concrete block are given in inches, we'll convert the length and height of the wall from feet to inches:

Length of the wall = 12 feet = 12 * 12 = 144 inches

Height of the wall = 6 feet = 6 * 12 = 72 inches

Thickness of the wall = 8 inches

Next, we'll calculate the volume of the wall:

Volume of the wall = Length * Height * Thickness

= 144 inches * 72 inches * 8 inches

= 82944 cubic inches

Now, let's calculate the volume of each concrete block:

Volume of each block = Length * Width * Depth

= 16 inches * 8 inches * 8 inches

= 1024 cubic inches

Finally, we'll divide the volume of the wall by the volume of each block to find the number of blocks needed:

Number of blocks = Volume of the wall / Volume of each block

= 82944 cubic inches / 1024 cubic inches

≈ 81 blocks

Therefore, Kamila will need approximately 81 concrete blocks to build the wall.

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Answer:

12, 6 and 30

Step-by-step explanation:

Step one:

given data

Number of medals = 48 medals

The given ratio is = 2:1:5

The total ratio is = 2+1+5= 8

Step two;

Applying the part to all method

for Gold we have

2/8=x//48

cross multiply

8x= 48*2

divide both sides by 8

x= 96/8

x= 12

gold is 12

for silver we have

1/8=x//48

cross multiply

8x= 48*1

divide both sides by 8

x= 48/8

x= 6

silver is 6

for bronze we have

5/8=x/48

cross multiply

8x= 48*5

divide both sides by 8

x= 240/8

x= 30

Bronze  is 30

Answer:

0.95

Step-by-step explanation:

19/20

19÷2/20÷2

9.5/10

0.95

Answer:

y = 0x + 2 or y = 2

Step-by-step explanation:

Since the slope is horizontal, this means the slope is 0 because it is not increasing or decreasing. Adding this to the equation, we have y = 0x + 2, or y = 2.

Answer: 18x + 15

Step-by-step explanation:

(qor)(x)

q(r(x))

q(6x+5)

3(6x+5)

⇒18x + 15   This is your answer I believe

if we were solving for x then..

⇒x = \(-\frac{15}{18}\)

The value of the function when x = 2 is 9

The given parameters are

f(x) = 2x^2 - 3x + 7

When x = 2, we have;

f(2) = 2(2)^2 - 3(2) + 7

Evaluate

f(2) = 9

Hence, the value of the function when x = 2 is 9

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Answer: 6 square inches

Step-by-step explanation:

Since the pizza is 16 inches and there is 8 slices divide.

16 inches ÷ 8 slices = 2 inches per slice

Each slice is 2 inches.

Since each slice is 2 inches multiply by 3 slices to get how many square inches she ate.

2 inches per slice x 3 slices = 6 square inches

Therefore she ate 6 square inches of pizza.

Answer: ima try

Step-by-step explanation: how i always do it is the second number (-2) you start for the mid point (0,0) if its -2 go down 2 if it 2 go up 2 if its 0 stay there then you go to the first number(2/3) from where you landed thats now the new start point then you go (x,y) in this equation its (2/3) so go up 2 right three but watch out for the negatives. so if it was -2/3 you would go down 2 then right 3

i hoped this helped its hard to explain but I tried

Answer:

C) F

Step-by-step explanation:

If you flip triangle ABC across the y-axis and slide it over top of triangle FED then you can see that angle A corresponds with angle F.

Answer:

the number of dogs in the shelter compared to the number of cats in the shelter

Step-by-step explanation:

a) The equation describing the possible values of x and y would be 2y + 2x = 52 inches

b) x-intercept is (26,0) and the y-intercept is (0,26)

c) Three pairs of whole-number values of x and y that could represent side lengths of the rectangle are: (13,20), (10,21), (20,16)

What is the rectangle perimeter formula?

P = 2l + 2w, where l is the length and w is the width, gives the perimeter of a rectangle.

a) The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We know that the perimeter of this rectangle is 52 inches, so we can write the equation:

2l + 2w = 52 inches

To find the possible values of x and y, we can write the equation in terms of x and y. Since the width is x and the length is y, we can substitute them into the equation:

2y + 2x = 52 inches

b) To graph the equation using intercepts, we need to find the x-intercept and y-intercept. The x-intercept is the point at which the graph crosses the x-axis, and the y-intercept is the point at which the graph crosses the y-axis.

To find the x-intercept, we set y = 0 and solve for x:

2(0) + 2x = 52 inches

2x = 52 inches

x = 26 inches

To find the y-intercept, we set x = 0 and solve for y:

2y + 2(0) = 52 inches

2y = 52 inches

y = 26 inches

So the x-intercept is (26,0) and the y-intercept is (0,26)

c) Three pairs of whole-number values of x and y that could represent side lengths of the rectangle are: (13,20), (10,21), (20,16)

All these values are satisfying the equation 2y+2x = 52 inches

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