Look at the photo and answer questions *25 POINTS*

Answer:

Between April and May

Step-by-step explanation:

April and May have a rate of change of 5 (79-74). February and March have a lesser rate of change.

Answer:

Option 2 :- February and March

Step-by-step explanation:

Rate of change between February and March is $ 5 i.e, ($79-$74)

Rate of change between April and May is $ 3 i.e, ($75-$72)

Thus, Rate of change is greater in February and March.

Hope this helps you.

Assuming that the histogram for the sample is bell-shaped, approximately 68% of the sample values are within one standard deviation of the mean, 95% of the sample values are within two standard deviations of the mean, and 99.7% of the sample values are within three standard deviations of the mean.

Therefore, to estimate the percentage of sample values between 70 and 82, we need to find the number of standard deviations away from the mean that corresponds to these values.

Once we have the mean and standard deviation, we can use the formula:

z = (x - μ) / σ

where z is the number of standard deviations away from the mean,

x is the sample value,

μ is the mean,

and is the standard deviation.

The percentage of sample values between 70 and 82 will be the difference between these two percentages.

To learn more about “standard deviations” refer to the https://brainly.com/question/475676

#SPJ11

Answer:

B. 7b3 + 4ab + 4a2

Step-by-step explanation:

35b5/5b2 + 20ab3/5b2 + 20a2b2/5b2  

7b3 + 4ab + 4a2

Answer:

B = 7b³ + 4ab + 4a²

Step-by-step explanation:

35b^5 + 20ab³ + 20a²b² by 5b² ÷ 5b²

= 35b^5 + 20ab³ + 20a²b² by 5b²

_________________________

5b²

= 7b³ + 4ab + 4a²

=======================================================

Explanation:

25% = 25/100 = 0.25

25% of 84 = 0.25*84 = 21

So 21 cm has been cut off, leaving 84-21 = 63 cm left over

Or you could say that if 25% has been cut off, then 75% of the stick remains

So, 75% of 84 = 0.75*84 = 63 cm remains.

The remaining length of 63 cm is cut into 6 equal pieces

Each smaller piece is 63/6 = 10.5 cm long

There are six possible ways a person can choose two balls at random from an urn containing five balls numbered 1, 2, 2, 6, and 6.

To understand how to calculate the number of combinations, let's break it down into two parts: selecting the first ball, and then selecting the second ball. Since there are five balls in the urn, the first ball can be chosen in five possible ways. Then, when selecting the second ball, the number of possible selections is reduced to four because one ball has already been selected. This can be expressed mathematically as: n(A)=5x4.

To calculate the total number of combinations, we then multiply the two numbers: 5x4=20. This result is then divided by two because the order of selection does not matter. As a result, 20/2=10, which means that there are ten possible combinations when choosing two balls at random from the urn. In conclusion, if an urn contains five balls numbered 1, 2, 2, 6, and 6, there are six possible ways a person can choose two balls at random. This can be expressed mathematically as n(A)=6 or n(A)=5x4/2.

To know more about probability click here :

https://brainly.com/question/30034780

#SPJ11

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

To know more about laws of physics refer here:

https://brainly.com/question/13966796

#SPJ11

Part A: The ring's magnetic dipole moment is \(2.28 * 10^-7 A m^2.\)

Part B:  the on-axis magnetic field strength 4.10 cm from the ring is \(3.17 * 10^-6 T.\)

Part A:

The magnetic dipole moment of a current loop is given by the formula:

μ = \(I\pi r^2\)

where I is the current, r is the radius of the loop and μ is the magnetic dipole moment.

The diameter of the ring is 1.60 mm, which means the radius is r = 0.80 mm = 0.00080 m.

Substituting the given values, we get:

μ \(= (91.0 A)(\pi)(0.00080 m)^2 = 2.28 * 10^-7 A m^2\)

Therefore, the ring's magnetic dipole moment is \(2.28 * 10^-7 A m^2.\)

Part B:

The magnetic field strength on the axis of a current loop at a distance x from the center is given by the formula:

B = (μ0 I/2) * \((R^2 / (R^2 + x^2)^(3/2))\)

where μ0 is the permeability of free space, I is the current, R is the radius of the loop and x is the distance from the center of the loop to the point where we want to calculate the magnetic field strength.

Substituting the given values, we get:

B = \((4\pi *T m/A)(91.0 A/2) * (0.00080 m)^2 / [(0.00080 m)^2 + (0.0410 m)^2]^(3/2)\)

\(B = 3.17 * 10^-6 T\)

Therefore, the on-axis magnetic field strength 4.10 cm from the ring is \(3.17 * 10^-6 T.\)

For similar question on dipole.

https://brainly.com/question/11626115

#SPJ11

The value of the triple integral ∭E​2xdV over the region E is π.

We have,

To evaluate the triple integral ∭E​2xdV, where E is bounded by the paraboloid x = y² + z² and the plane x = 1, we need to determine the limits of integration.

The plane x = 1 intersects the paraboloid x = y² + z² when x = 1.

Substituting x = 1 into the paraboloid equation gives:

1 = y² + z²

This equation represents a circle in the yz-plane with a radius of 1.

So, we can express the bounds for y and z as follows:

-1 ≤ y ≤ 1

-√(1 - y²) ≤ z ≤ √(1 - y²)

For the x-coordinate, since we are integrating over the entire region between the paraboloid and the plane, the limits are 0 ≤ x ≤ 1.

Now, we can set up the triple integral:

∭E​2xdV = ∫[0,1]∫[-1,1]∫[-√(1 - y²), √(1 - y²)] 2x dz dy dx

Integrating with respect to z first:

∭E​2xdV = ∫[0,1]∫[-1,1] [2xz] evaluated from -√(1 - y²) to √(1 - y²) dy dx

Simplifying:

∭E​2xdV = ∫[0,1]∫[-1,1] 2x(√(1 - y²) - (-√(1 - y²))) dy dx

∭E​2xdV = ∫[0,1]∫[-1,1] 4x√(1 - y²) dy dx

Now, integrating with respect to y:

∭E​2xdV = ∫[0,1] [4x(π/2)] dx

∭E​2xdV = 2π∫[0,1] x dx

∭E​2xdV = 2π[x²/2] evaluated from 0 to 1

∭E​2xdV = 2π(1/2 - 0) = π

Therefore,

The value of the triple integral ∭E​2xdV over the region E is π.

Learn more about integrations here:

https://brainly.com/question/27360126

#SPJ4

2940

hope this helps

Mark as brainllest

Answer:

x = -1 1/2 , x = 1.5

Step-by-step explanation:

Answer:x=12

Step-by-step explanation:

Subtract

3x

from both sides of the equation.

4x−5−3x=7

Subtract

3x from 4x.x−5=7Move all terms not containing x to the right side of the equation.

Add 5

to both sides of the equation.

x=7+5Add 7and 5

.

x=12

Answer:

4 or 8, depending on how you interpret the questions

Step-by-step explanation:

In order to break even, they have to sell 4 widgets.  In other words, to make back the $200 they spent on design, they have to sell 4 widgets.  Anything over that is profit.  This assumes the entire $50 selling price goes to profit (no other information was given).

x = number of widgets

50x ≥ 200

x ≥ 4

To make another $200 above the break even, they have to sell 4 more widgets for a total of 8.

Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer:

2/3

Step-by-step explanation:

Answer:

dunny but 4950

Step-by-step explanation:

4960-

Answer:

root 1

Step-by-step explanation:

The value of root 1 to any power is equal to 1.

Answer:

Step-by-step explanation:

10/10 = 1

Hope this helps! <3

Answer:

The answer the first question is: Always acute

The answer to the second is: 65 degrees

Step-by-step explanation:

:P

Answer:

Step-by-step explanation:

amama

Answer:

they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.

Step-by-step explanation:

Answer:

It is 23

Step-by-step explanation:

BC= FE

(x-4)=19

Therefore x= 23

Answer:

Number of days starting from T are:-

Tuesday

Thursday

So, number = 2

Number of days in a week = 7

So, probability = 2/7

Hope it helps...!!!

Step-by-step explanation:

If the amount of medication in the body decrease by a factor of 1/3 each hour , then the exponential function is y = 1.8(2/3)ˣ .

Let M = the initial amount of medication administered = 1.8 milliliters , and

Let y = the amount of medication remaining in the patient's body after x hours.

We know that the medication amount will decrease by a factor of 1/3 each hour, which means that after 1 hour, only (1-1/3) = 2/3  of the medication will remain, after 2 hours, only (2/3)² will remain, and so on.

So we can write the equation in exponential form as :

⇒ y = M × (1-1/3)ˣ

⇒ y = M × (2/3)ˣ ;

substituting the initial value as 1.8  ,

we get ;

⇒ y = 1.8 × (2/3)ˣ ;

where x = number of hours that have passed since the medication was administered.

Therefore , the exponential function for the situation is y = 1.8 × (2/3)ˣ  .

Learn more about Exponential Function here

https://brainly.com/question/30309605

#SPJ4

The given question is incomplete , the complete question is

Elizabeth is a nurse, and she just administered 1.8 milliliters of medication to one of her patients. Elizabeth knows that the amount of medication remaining in the patient's body will decrease by a factor of 1/3 each hour .

Write an exponential equation in the form y = a(b)ˣ that can model the amount of medication (y) , remaining in the patient's body after x hours .

a)  The volume of paint left in the can is:

.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

b)  the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:

0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:

Volume = area * thickness

We want to solve for the thickness, so we rearrange the formula to get:

Thickness = Volume / area

The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:

0.003321 m^3

The area of the wall is given as:

13.7 m^2

So the thickness of the layer of wet paint is:

0.003321 m^3 / 13.7 m^2 = 0.000242 m

Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

Learn more about meters here:

https://brainly.com/question/29367164

#SPJ11

Answer: £53,205

Step-by-step explanation:

As Megan is in the highest tax bracket, she will have to pay the maximum tax in each bracket up till her own.

Bracket 1 = (11,000 - 0) * 0% = £0

Bracket 2 = (43,000 - 11,000) * 20% = £6,400

Bracket 3 = (150,000 - 43,000) * 40% = £42,800

Bracket 4 = (158,900 - 150,000) * 45% = £4,005

Total tax = 6,400 + 42,800 + 4,005

= £53,205

\(\underline{\underline{\large\bf{Solution:-}}}\\\)

\(\leadsto\)Let us assume entry fee for child be x

\(\leadsto\)Let us assume entry fee for adult be y

\(\\\)

\(\longrightarrow\)Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -

\(\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) \)

\(\longrightarrow\)Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -

\(\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) \)

Multiplying eq (1) by 2 it will be -

\(\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) \)

Subtracting eq(2) from eq(3) -

\(\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} \)

Thus , entry fee for a child at the amusement park = $ 35

Answer:

x = -10 , y = -45

Step-by-step explanation:

y + 4x = -5 ------------- (i)

2y = -8x - 20 ---------- (ii)

y + 4x = -5 --------(iii) × -2

2y + 8x = -20 -----(iv) × +1

-2y - 8x = + 10

2y + 8x = -20

x = -10

substitute x = -10 into equation (i)

y + 4x = -5

y + 4 (-10) = -5

y + 40 = -5

y = -5 - 40

y = -45