How many containers will it take fill the aquarium with water

A.13 containers


B. 14 containers


C. 15 containers


D. 16 containers

Answer:

Step-by-step explanation:

Area of the rectangle = length * width

                                   = 10 * 5

                                   = 50 m²

Area of the smaller rectangle that is white color = 7 * 2

                                                                               = 14 m²

Triangle:

base = b = 5 m

Height = h = 16 - 10 = 6 m

Area of triangle = \(\frac{1}{2}*b*h\\\)

                          \(= \frac{1}{2}*5*6\\\\= 5*3\\\\= 15 m^{2}\)

Area of shaded area = area of bigger rectangle - area of smaller rectangle + area of triangle

 = 50 - 14  + 15

= 21 m²

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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Answer:

X to the 4th power = 1440

Step-by-step explanation:

Answer:

w=20cm

Step-by-step explanation:

Tough question.  

We are not told whether the surface area is only what can be seem from the top, or does it include regions beneath the butterfly.  I made the assumption it is from the top

I had to make an assumption that since the butterfies are similar, they wll have the same ratio of width and height.  We will assume an "effective height,"  a value of height that when multiplied by the width will yield the correct surface area of 53 cm^2.

See the attached worksheet.

The effective height for the smaller butterfly is 13.25cm.  This multiplied by the given width (4cm) produces the surface area of 53 cm^3.  The ratio of width to height (w/h) is 0.302.

We've already made the assumption that the width to height of the larger butterfly will be the same.  Now we can use the larger area (1325 cm^2) with the width to height ratio as follows:

 Area = w*h

Since w/h is = 0.302, we can write w = 0.302h or h = (w/0.302)

 1325 cm^2 = w*h

1325 cm^2 = w*(w/0.302)

w^2 = 200

w = 20 cm

(I made several assumptions in this analysis.  Review them carefully).

The solution to the inequality 6m + 2 > -27 is  m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is  p > 8

The given inequality is:

6m  +  2  >  - 27

Subtract 2 to both sides of the inequality

6m  +  2 - 2  >  -27  -  2

6m   >  -29

Divide both sides by 6

\(\frac{6m}{6}> \frac{-29}{6} \\m > \frac{-29}{6}\\m > -4.83\)

For the inequality  8(p-6)>4(p-4)

Expand the inequality using the distributive rule

8p  -  48   >  4p  -  16

Collect like terms

8p  -  4p  >  -16  +  48

4p    >  32

Divide both sides of the inequality 4

\(\frac{4p}{4} > \frac{32}{4}\\p > 8\)

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

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Answer:

The ones you have chosen are correct

Step-by-step explanation:

:)

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The number of pitchers of lemonade sold on Saturday is \(25\frac{1}{36}\).

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Friday:

Number of lemonade sold = \(8\frac{5}{6}\)

Saturday:

Number of lemonade sold = \(2\frac{5}{6}\) times of Friday

The number of lemonade sold on Saturday:

= \(2\frac{5}{6}\) x \(8\frac{5}{6}\)

= 17/6 x 53/6

= 901/36

= \(25\frac{1}{36}\)

Thus,

The number of pitchers of lemonade sold on Saturday is \(25\frac{1}{36}\).

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Answer:

9.99 *10 ^ 6 km

Step-by-step explanation:

Given that the surface area of Canada is 9,984,671 square kilometers.

The standard form of scientific notation is expressed as;

A * 10^n

A is any values between 1 to 9

n is an integer

Given

9,984,671 square kilometers.

9,984,671  = 9.99 *10 ^ 6

Hence the required scientific notation is 9.99 *10 ^ 6

Answer:

Each ticket cost $4.32

Step-by-step explanation:

$357 / 82.6 tickets = $4.32 per ticket

Brainly pls :))

Answer:

6.4166

Step-by-step explanation:

77/12 = 6.41666666667

The values of c, d and e are 165,000, 340,000 and 430,000 respectively.

Owners equity is defined as the proportion of the total asset value of the company

Owner's equity at the end of the year = (Income for the year - Expenses for the year) + capital invested at the beginning of year.

(A) (a) = (180,000 - 60,000) + 100,000

          = 220,000

(B) (b) = (150,000 - 170,000) + 250,000

          = 230,000

(C) (145,000 - c) + 320,000 = 300,000

145,000 - c = 300,000 - 320,000

145,000 - c = -20,000

c = 145,000 + 20,000

c = 165,000

(D) (d - 200,000) + 700,000 = 840,000

d - 200,000 = 140,000

d = 140,000 + 200,000

d = 340,000

(E) (640,000 - 270,000) + e = 800,000

e = 800,000 - (640,000 - 270,000)

e = 430,000

Hence the values of c, d and e are found.

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60.8 is less than 70 or 80, we can eliminate answer choices (c) and (d) as possible answers.

To solve this problem, we need to use the formula for standard deviation:
z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, we know that the mean score is 82, and your exam score is 2.12 standard deviations below the mean. So we can set up the equation:
z = (x - 82) / σ = -2.12

Now we need to find the possible values of x (your exam score) that satisfy this equation. We can rearrange the equation to solve for x:
x = z * σ + μ

Plugging in the values we know, we get:
x = -2.12 * σ + 82

We don't know the value of σ, so we can't solve for x exactly. But we can use some logic to eliminate some of the answer choices.

Since your exam score is below the mean, we know that x < 82. That means we can eliminate answer choices (a) and (b), since they are both above 82.

To eliminate answer choices (c) or (d), we need to know whether 2.12 standard deviations below the mean is less than or greater than the value of σ.

If σ is relatively small, then a score that is 2.12 standard deviations below the mean will be much lower than 70 or 80. But if σ is relatively large, then a score that is 2.12 standard deviations below the mean could be closer to 70 or 80.

Unfortunately, we don't know the value of σ, so we can't say for sure whether (c) or (d) is a possible answer. However, we can make an educated guess based on the range of possible values for σ.

Since the standard deviation of exam scores is typically in the range of 10-20 points, we can assume that σ is at least 10.

With that assumption, we can calculate the minimum possible value of x:
x = -2.12 * 10 + 82 = 60.8

Since 60.8 is less than 70 or 80, we can eliminate answer choices (c) and (d) as possible answers.

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Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

\(\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}\) (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

\((x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})\) (1b)

Where:

\(x, y\) - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

\(r_{1}, r_{2}\) - Length of each vector, in kilometers.

\(\theta_{1}, \theta_{2}\) - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that \(r_{1} = 42\,km\), \(r_{2} = 28\,km\), \(\theta_{1} = 32^{\circ}\) and \(\theta_{2} = 154^{\circ}\), then the resulting coordinates of the final position of the surveyor is:

\((x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})\)

\((x,y) = (35.618, 22.257) + (-25.166, 12.274)\,[km]\)

\((x,y) = (10.452, 34.531)\,[km]\)

According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:

\(\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}\)

\(\theta \approx 16.840^{\circ}\)

And the distance from the camp is calculated by the Pythagorean Theorem:

\(r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}\)

\(r = 36.078\,km\)

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Answer:

John=3150 peter=7350

Step-by-step explanation:

Hope this helps

Answer:

\(y = 4 \\ x = - 2\)

Step-by-step explanation:

\(3(2 - y) + y = - 2 \\ 6 - 2y = - 2 \\ 2y = 8 \\ y = 4 \\ \\ x = 2 - 4 \\ x = - 2\)

I hope that uesful for u :)

The nurse manager approves two staff nurses to attend a national conference.

The nurse manager has given their authorization or consent for two staff nurses to participate in and attend a national conference. This decision indicates that the nurse manager recognizes the value and relevance of the conference for professional development and sees the benefit of the staff nurses' participation. By approving their attendance, the nurse manager demonstrates support for their growth, learning, and exposure to new knowledge, experiences, and networking opportunities available at the conference.

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Answer:

When you multiply one positive and one negative, you get a negative solution. When you multiply two negatives, you get a positive solution.

(-564)x(1.4)

-789.6

:)

The attached graph is the graph of the function f(x) = -2sin(x)

The function is given as:

f(x) = -2sin(x)

The above function is a sine function that has an amplitude of 2

Next, we plot the graph of the sine function f(x) = -2sin(x) using a graphing calculator

See attachment for the graph of f(x) = -2sin(x)

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The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Answer:

1. the distance from the school to Mrs Deewan's home = 24km

2. John's wage to the mother-in-law's wage = 2:1

    Mother-in-law's wage to John's = 1:2

3. John lives nearer the school

Step-by-step explanation:

1. The ratio of the distance between Mrs Diya's (Deewan's) home and John's home to school = 2:1.

This means that the distance of Mrs Diya's home is twice that of John's home to school. Therefore if John's home from school is 12km;

Mrs Diya's home = 12 × 2 = 24km

2. If john earns twice the income of the mother-in-law, the ratio of the wages is as follows:

John's wage to the mother-in-law's wage = 2:1

Mother-in-law's wage to John's = 1:2

3. John lives nearer the school. From the calculation we've done in 1 above, you can see that the distance between John's home and the school = 12km, while the distance between Mrs Diya's home and the school is 24km, therefore, John lives nearer the school.

Step-by-step explanation:

Refer to pic...............

Answer:

Answer bellow

Step-by-step explanation:
Pythagorean Theorem or PT= a2+b2

Yes you can Construct a right triangle C=25

If 7 = a2 and 24=b2 you can

The body travels a finite distance of (v0/k) before coming to a stop.

To show that the velocity and position of the body are given by v(t) = v0e^-kt and x(t) = x0 + (v0/k)(1-e^-kt), we can solve the differential equation dv/dt = -kv with the initial conditions v(0) = v0 and x(0) = x0.

a) Solving the differential equation dv/dt = -kv, we have:

dv/v = -k dt

Integrating both sides, we get:

ln|v| = -kt + C1

where C1 is the constant of integration. Applying the initial condition v(0) = v0, we get:

C1 = ln|v0|

Therefore, we have:

ln|v| = -kt + ln|v0|

Solving for v, we get:

v(t) = v0e^-kt

Next, we can integrate the velocity expression to obtain the position:

dx/dt = v(t) = v0e^-kt

Integrating both sides, we get:

x(t) = - (v0/k) e^-kt + C2

where C2 is the constant of integration. Applying the initial condition x(0) = x0, we get:

C2 = x0 + (v0/k)

Therefore, we have:

x(t) = x0 + (v0/k)(1-e^-kt)

b) Since the velocity approaches zero as t approaches infinity, the body will eventually come to a stop. The distance traveled by the body can be found by taking the limit as t approaches infinity of the position function:

lim x(t) as t->infinity = x0 + (v0/k)

Therefore, the body travels a finite distance of (v0/k) before coming to a stop.

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Answer:

5.99696 or 6

Step-by-step explanation: