Which represents an exterior angle of triangle EGF?
O ZMEG
O ZNEG
O ZPEQ
O ZRFS

Scientific notation is the way through which a very small or a very large number can be written in shorthand. The given following number or sentences can be written in the form of scientific notation as shown.

Scientific notation is the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12 or 6.5×10¹².

The given following number or sentences can be written in the form of scientific notation as shown below.

a.) 1,000,000 = 1×10⁶ = 1e+6

b.) .00005 = 5×10⁻⁵ = 5e-5

c.) 40 thousand = 40,000 = 4×10⁴ = 4e+4

d.) 7 trillion = 7,000,000,000,000 = 7×10¹² = 7e+12

e.) 8 thousandths = 0.008 = 8×10⁻³ = 8e-3

f.) one tenth = 0.1 = 1×10⁻¹ = 1e-1

Learn more about Scientific notation here:

https://brainly.com/question/1740231

#SPJ1

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

Know more about factorialhere:

https://brainly.com/question/18270920

#SPJ11

x²-6x-72

Step-by-step explanation:

(x+6)(x-12)

(x×x)-(x×12)+(6×x)-(6×12)

x²-12x+6x-72

x²-6x-72

Answer:

120

Step-by-step explanation:

The rules of multiplication state, that when there are two negatives being multiplied by each other, they become positive. You will multiply -10 x -12, and since there are two negatives, they cancel out.

Now it becomes simple multiplication. Simply multiply 10 x 12, without the negatives since they have been canceled out.

-10 x (-12) = 120

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

To know more about maximizes visit:

https://brainly.com/question/30072001

#SPJ11

The tank of the car that holds 19 gallons and has 2/5 full has still in it 7.5 gallons

Information about the problem:

To solve this problem, we have to state the equation using the information of the problem:

Gallons available= tank capacity* gasoline gauge

Gallons available= 19 gallons * 2/5

Gallons available= 38 gallons/5

Gallons available= 7.5 gallons

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

Learn more about algebraic operations at: brainly.com/question/3927786

#SPJ4

Answer:

A=13*6 -5*3

A=78-15

A= 63

Step-by-step explanation:

Step 1- 4×3=12

Step 2- 4×3=12

Step 3- 13×3=39

Step 4- 12+12+39=63

Answer-63cm^2

Answer:

24 units²

Step-by-step explanation:

4(12)/2=24

Answer:

mean

Step-by-step explanation:

Answer:

1) 4

2) 25

3) 7 lemons

Step-by-step explanation:

sam has a lemon problem

Step-by-step explanation:

No, the amount of money in her account is not proportional to the number of weeks.

Given that,

JEAN has $280 in her savings account. Starting next week, she will deposit $30 in her account every week. Is the amount of money in her account proportional to the number of weeks to determine?

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,

Jean has $280 initially in her savings account,

she will deposit $30 in her account every week.

After every week the saving becomes,

= 280 + 30 * number of weeks

Implies, the above relationship is a linear function, not proportionality.

Thus,  No, the amount of money in her account is not proportional to the number of weeks.

Learn more about proportionality here:

brainly.com/question/22620356

#GDU8

If rollerblading received 3% of the vote and biking received 39% of the vote.

To determine the percentage of the class that voted for swimming, we need more information. Specifically, we need the percentage of the vote received by rollerblading and biking, as well as any additional information about the voting percentages. Please provide the percentage of the vote received by rollerblading so we can calculate the percentage of the class that voted for swimming.

we can determine the percentage of the class that voted for swimming by subtracting the sum of the percentages of rollerblading and biking from 100%, Percentage of class voting for swimming = 100% - (Percentage of rollerblading + Percentage of biking) Percentage of class voting for swimming = 100% - (3% + 39%) Percentage of class voting for swimming = 100% - 42% Percentage of class voting for swimming = 58%.

Therefore, 58% of the class voted for swimming as their favorite summer activity.

To know more about voting for swimming;- https://brainly.com/question/30359890

#SPJ11

The expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

How to solve cos3x/sinx cosx?Given an expression cos3x/sinx cosx.

The goal is to simplify it using trigonometric identities.

We know that the quotient identity of tan x is:

tan x = sin x / cos x

We can convert the above equation as:

cos x / sin x = 1 / tan x

Similarly, cot x = cos x / sin x

We can convert the above equation as:

sin x / cos x = 1 / cot x

Now, we can use the above equations to simplify the given equation.

Simplify cos3x/sinx cosx

We have:

cos3x/sinx cosx= cos2x * cosx / sinx cosx

= cos2x / sinx + cos2x / cosx

= cos2x/sinx + cos x

And, we know that

cos 2x =\(1 - 2sin^2x\)

= \(2cos^2x - 1\)

Substituting this value in the above equation, we get:

cos3x/sinx cosx = (\(2cos^2x - 1\)) / sinx + cos x

= secxcos2x- cscxsin 2x

Therefore, the expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

To know more about trigonometric visit:

https://brainly.com/question/29156330

#SPJ11

The three solutions of the equation y = -x are:

(3, -3), (-1, 1), (0, 0).

To find three solutions of the equation y = -x, we can substitute different values of x into the equation and solve for y.

When x = 3:

y = -(3) = -3

Solution: (3, -3)

When x = -1:

y = -(-1) = 1

Solution: (-1, 1)

When x = 0:

y = -(0) = 0

Solution: (0, 0)

Therefore, three solutions of the equation y = -x are:

(3, -3), (-1, 1), (0, 0).

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

Answer:

a. True

Step-by-step explanation:

a. True

A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.

Answer:

well... how are you supposed to guess ON POINT the time you have been running for... i couldnt have done it... but nice job kate i couldve only ran half that time... props to you

Step-by-step explanation:

Circumference of a circle with equation \((x+2)^{2}+(y-3)^{2}\) = 9 is 6pi.

To find the circumference of a circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9, we first need to identify its radius, which is the square root of the constant term 9. The radius is therefore 3 units.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Using this formula, we can calculate the circumference of the given circle as:

C = 2πr = 2π(3) = 6π

Therefore, the circumference of the circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9 is 6π units.

It's important to note that the circumference of a circle is the distance around the edge of the circle. It is an important parameter for many applications in geometry, physics, and engineering, among others. Being able to calculate the circumference of a circle given its equation is a fundamental skill in mathematics and is essential for solving many problems in different fields.

To learn more about Circumference  here:

https://brainly.com/question/28757341

#SPJ1

a) Lower-bound confidence interval is [0.260, 1]. b) 98% confident that the proportion of cars is greater than or equal to 0.260. c) p is larger than 0.25.

To obtain a lower-bound confidence interval for the proportion (p) of cars registered in a certain state whose emission levels exceed the state standards, we can use the Wilson score interval method. This method provides a conservative lower-bound estimate for the proportion.

Given:

Sample size (n) = 92

Number of cars with emission levels exceeding standards (x) = 30

A) Lower-bound confidence interval for p at 98% confidence level:

To calculate the lower-bound confidence interval, we can use the formula:

p - z√((p(1 - p)) / n + (\(z^{2}\) / (4n))) ≤ p

Where:

p is the sample proportion (x / n)

z is the z-score corresponding to the desired confidence level

The z-score for a 98% confidence level is approximately 2.326. Substituting the given values into the formula:

p - 2.326 * √((p1 - p)) / n + (\(2.326^{2}\) / (4n))) ≤ p

p = 30 / 92 ≈ 0.326

Lower-bound confidence interval:

0.326 - 2.326 * √((0.326 * (1 - 0.326)) / 92 + (\(2.326^{2}\)  / (4 * 92))) ≤ p

Calculating this expression, we find the lower-bound confidence interval for p at a 98% confidence level:

0.326 - 2.326 * √(0.003562 / 92 + 0.03042 / 368) ≤ p

0.260 ≤ p

The lower-bound confidence interval is [0.260, 1].

B) Interpretation of the interval:

The lower-bound confidence interval [0.260, 1] means that we are 98% confident that the proportion of cars in the state with emission levels exceeding the state standards is greater than or equal to 0.260. It is a conservative estimate because we take the lower bound of the interval.

C) Conclusion about p > 0.25:

Based on the interpretation of the interval, we can reasonably conclude that p is larger than 0.25. The lower bound of the confidence interval is 0.260, which is greater than 0.25. Therefore, we have evidence to suggest that the proportion of cars with emission levels exceeding the state standards is likely to be larger than 0.25.

To learn more about confidence interval here:

https://brainly.com/question/32546207

#SPJ4

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

To know more about the factors affecting the demand for good X, refer here:

https://brainly.com/question/32566433#

#SPJ11

(a) No, a triangle cannot have two obtuse angles. (b) No, a triangle cannot have two right angles.
(c) If no angle of a triangle measures more than 60°, then the triangle is an acute triangle.


(a) In a triangle, the sum of all three angles must be 180°. Since two obtuse angles would sum to more than 180°, it is not possible for a triangle to have two obtuse angles.
(b) In a triangle, the sum of all three angles must be 180°. Since two right angles would sum to 180°, it is not possible for a triangle to have two right angles.
(c) In an acute triangle, all three angles are less than 90°. If no angle of a triangle measures more than 60°, then all three angles are less than 90°, making it an acute triangle.

To know more about Angles visit.

https://brainly.com/question/13954458

#SPJ11

The dimensions of the rectangular swimming pool are 25ft long 10ft wide and 8 feet deep.

A cuboid is a three-dimensional solid shape that has 6 faces, 8 vertices, and 12 edges. It is one of the most commonly seen shapes around us which has three dimensions: length, width, and height. Sometimes the cuboid shape is confused with a cube since it shares some properties of a cube, however, they are different from each other.

Volume of a cuboid  = Length(L) x Width(W) x Depth(d)

but L = 2.5w

2.5w x w x 8 = 2000

20W^2 = 2000

W^2 = 2000/20

W^2 = 100

W = \(\sqrt{100}\)

W = 10fft

L = 2.5W, but W = 10ft

L = 2.5 x 10

L = 25ft

In conclusion the length, width and depth are 25ft, 10ft, and 8ft respectively.

Learn more about cuboid: https://brainly.com/question/46030

#SPJ1

The inverse Laplace transform of the given function F(s) is:

To know more about inverse Laplace transform refer here:

https://brainly.com/question/1675085

#SPJ11

Answer:  

X + Y = 5.678

X - Y = 9.876

The two numbers: X = 7.777   Y = -2.099

Step-by-step explanation: solve by elimination

X + Y = 5.678

X - Y = 9.876 . Add the two equations so the y cancels. Solve for x

2x = 15.554 .  Divide both sides by 2

X = 7.777    Substitute in the original equations to find Y

7.777 + y = 5.678 . Subtract 7.777 from both sides

Y = - 2.099

check in the second equation:

7.777 -(-2.099) = 9.876

7.777 + 2.099 = 9.876 True

The two numbers is X = 7.777 and Y = -2.099.

And, the two equation is X + Y = 5.678  and X - Y = 9.876.

Given that,

Based on the above information, the calculation is as follows:

X + Y = 5.678

X - Y = 9.876

2x = 15.554  

X = 7.777    

Now  

7.777 + Y = 5.678  

Y = - 2.099

Therefore, the above should be the answers.

Learn more: brainly.com/question/24169758

Answer:

A  Water freezes in the cracks.

Step-by-step explanation:

Brainiest plz hope that help??

Answer:

A

Step-by-step explanation:

Water Freezes in cracks

(a) The head loss through straw is 0.007 m

(b) The pressure drop if the flow is horizontal up is 1974 Pa

(c) The pressure drop if the flow is vertically up 0.007 m

(a) For turbulent flow (high Re), the friction factor depends on the roughness of the straw's walls and can be calculated using the Colebrook equation. Since the straw is smooth, we can assume laminar flow.

Substituting the values into the Reynolds number equation, we get:

Re = (1000 kg/m³ x 0.0955 m/s x 0.002 m) / (0.001 kg/ms) = 191,000

Therefore, the friction factor is:

f = 64 / 191,000 = 0.000334

Finally, substituting all the values into the Darcy-Weisbach equation, we get:

h_L = (0.000334 x 0.2 m x 0.0955 m/s²) / (2 * 9.81 m/s² x 0.002 m) = 0.007 m

(b) In this case, the change in height is the height of the straw, which is 20 cm. Substituting the values, we get:

ΔP = 1000 kg/m³ x 9.81 m/s² x 0.2 m = 1962 Pa

Therefore, the total pressure drop when the flow is horizontal upward is:

P_drop = h_L + ΔP = 0.007 m + 1962 Pa = 1974 Pa

(c) If the flow is vertical upward, there is no change in elevation of the fluid, so the pressure drop is solely due to the head loss calculated in part (a). Therefore, the pressure drop is:

P_drop = h_L = 0.007 m

To know more about pressure here.

https://brainly.com/question/28503501

#SPJ4

Answer:

The measure of ∠R = 60°

Step-by-step explanation:

The given parameters are;

Triangle XYZ is reflected across the y-axis to create triangle PQR

The measure of ∠Y = 30°

Triangle XYZ = A right triangle

The measure of ∠X = 90°

Where we have;

The image of the preimage of vertex X = P

The image of the preimage of vertex Y = Q

The image of the preimage of vertex Z = R

Therefore, given that a reflection is a rigid transformation, we have;

The measure of ∠X = The measure of ∠P

The measure of ∠Y = The measure of ∠Q

The measure of ∠Z = The measure of ∠R

Given that the measure of ∠Y = 30° and the measure of ∠X = 90°

∠X +∠Y + ∠Z = 180° (angle summation of a triangle property

∴ The measure of ∠Z = 180° - (∠X + ∠Y)  = 180° - (90° + 30°) = 60°

Therefore;

The measure of ∠Z = 60° = The measure of ∠R

The measure of ∠R = 60°.

The pigeonhole principle shows that in any set of six classes, there must be at least two classes that meet on the same day because there are only five weekdays for each class to meet on.

This principle states that if there are more items than the number of spaces available to place them in, at least two items must occupy the same space. In this case, there are six classes and only five weekdays available for each class to meet on. Therefore, at least two classes must meet on the same day.

Correct answer: b. The pigeonhole principle shows that in any set of six classes, there must be at least two classes that meet on the same day because there are only five weekdays for each class to meet on.

Learn more about Pigeonhole Principle here:

https://brainly.com/question/30322724

#SPJ11

Answer:

This question is only if 25 points. And you have typed 50 points.

Answer is 16-4-2-1

16-4-2-1

Step-by-step explanation: