Angle 1 = 20x+60 and angle 3 = 30x+20 find the measure of angle 1

Answer:

Isla finished 1/8 more of the pie than Alexa. Thats a nice name

Step-by-step explanation:

1/4 = 2/8

1/8 + 1/8 = 2/8

so 1/8 more

Answer:

answer is 2

Step-by-step explanation:

1/4 divided by 1/8 is 2

Answer:

x = 4/3 is your answer

Step-by-step explanation:

Hope this helps!!

The range of time values describes the entire interval over which Georgiana would be interpolating is 0 to 30 minutes.

What is the domain and range of a function?

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

As in the table, the minimum time for which the distance is defined is 0 minutes while the maximum time is 30 minutes. Therefore, the range of time values describes the entire interval over which Georgiana would be interpolating is 0 to 30 minutes.

Learn more about Domain and Range here

https://brainly.com/question/9740428

#SPJ4

Answer:

C

Step-by-step explanation:

To find the number of three-letter initials with none of the letters repeated, we need to consider the number of choices for each position in the initials.

To determine the number of three-letter initials with none of the letters repeated, we can analyze each position in the initials. For the first letter, we have 26 choices since there are 26 letters in the English alphabet.

After selecting the first letter, for the second letter, we have 25 choices remaining since we cannot repeat the letter used in the first position. Similarly, for the third letter, we have 24 choices remaining since we cannot repeat either of the previous letters.

Therefore, the total number of three-letter initials with none of the letters repeated can be found by multiplying the number of choices for each position: 26 * 25 * 24 = 15,600. Hence, there are 15,600 different three-letter initials that people can have if none of the letters are repeated.

To learn more about multiplying click here:

brainly.com/question/23536361

#SPJ11

Answer:

Terms: x, 4y, 32

variables: x, y

constant: 32

coefficients: 4, 1

Step-by-step explanation:

Hope this helps!

Answer:

there is a black photo

Step-by-step explanation:

make sure to check properly

Answer:

d

Step-by-step explanation:

Answer:

vertex

the point on the parabola where the graph changes from increasing to decreasing.

The derivative of y = (2x+1)⁵(x⁴-3)⁶ is (2x+1)⁵(x⁴-3)⁶ * [5/(2x+1) + 6(4x³)/(x⁴-3)].

To find the derivative of y = (2x+1)⁵(x⁴-3)⁶ using logarithmic differentiation, we follow these steps:

1. Take the natural logarithm of both sides of the equation:
ln(y) = ln[(2x+1)⁵(x⁴-3)⁶]

2. Use the properties of logarithms to simplify the expression:
ln(y) = 5ln(2x+1) + 6ln(x⁴-3)

3. Differentiate both sides of the equation with respect to x:
(1/y) * dy/dx = 5/(2x+1) + 6(4x³)/(x⁴-3)

4. Solve for dy/dx by multiplying both sides by y:
dy/dx = y * [5/(2x+1) + 6(4x³)/(x⁴-3)]

5. Substitute the original expression for y:
dy/dx = (2x+1)⁵(x⁴-3)⁶ * [5/(2x+1) + 6(4x³)/(x⁴-3)]

Learn more about derivative here :-

https://brainly.com/question/18722002

#SPJ11

The Gibbs-Duhem equation relates the activity coefficients of the individual components in a mixture. It states that the activity coefficients are not independent of each other but are related by a differential equation.

In the case of a binary mixture (chemical A and chemical B), the Gibbs-Duhem relation can be written as:

x1 * (∂x1/∂lnγ1)T,P = x2 * (∂x2/∂lnγ2)T,P

Here, x1 and x2 represent the mole fractions of chemical A and chemical B, respectively. The activity coefficients for chemical A and chemical B are denoted as γ1 and γ2, respectively.

The equation shows that the change in mole fraction of one component (x1) with respect to the change in the logarithm of its activity coefficient (lnγ1) is proportional to the change in mole fraction of the other component (x2) with respect to the change in the logarithm of its activity coefficient (lnγ2).

This relationship helps us understand how changes in the activity coefficients of the components affect each other in a binary mixture. By studying this relationship, we can gain insights into the behavior of the mixture and make predictions about its properties.

For example, let's consider a mixture of ethanol (chemical A) and water (chemical B). If the activity coefficient of ethanol (γ1) decreases, the Gibbs-Duhem equation tells us that the mole fraction of ethanol (x1) will also decrease. Similarly, if the activity coefficient of water (γ2) increases, the mole fraction of water (x2) will increase.

Know more about Gibbs-Duhem equation:

https://brainly.com/question/33619595

#SPJ11

Answer:

y=(-9/5)x-3

Step-by-step explanation:

to find m:substitute -5 in x value,-3 in c value and 6 in y value in the equation y=mx+c.then,rewrite equation by substituting value of m and c

To find the slope intercept form, solve the equation for y.

Solve the equation for x:

Answer:

x=45

Step-by-step explanation:

89+112+114+x=360(Sum of angles of a quadrilateral)

315+x=360

x=360-315

x=45

Hope this helps u

The first law of thermodynamics, mathematically expressed as:

ΔU = Q - W

Where:

ΔU represents the change in internal energy of the system,

Q represents the heat added to the system, and

W represents the work done by the system.

The first law of thermodynamics, also known as the law of energy conservation, states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.

The term "internal energy" (ΔU) refers to the total energy possessed by the system, including the kinetic and potential energy of its molecules. It is a measure of the system's thermal energy.

The term "heat" (Q) represents the transfer of energy between the system and its surroundings due to temperature difference. It is a form of energy transfer that occurs spontaneously from higher temperature regions to lower temperature regions.

The term "work" (W) represents the energy transfer resulting from forces applied to the system, causing displacement. It can take different forms, such as mechanical work, electrical work, or expansion work.

For different scenarios, the explicit form of the energy balance equation can be derived by considering the specific types of work and heat involved in the system. By drawing appropriate schematics, one can identify the relevant forms of work and heat transfer. Examples include:

Adiabatic Process: In this scenario, no heat transfer occurs (Q = 0). The energy balance equation simplifies to ΔU = -W, where the work done by the system contributes to the change in internal energy.

Isothermal Process: In this case, the temperature remains constant (ΔU = 0). The energy balance equation becomes Q = W, indicating that the heat added to the system is fully converted into work.

Isobaric Process: Here, the pressure remains constant. The energy balance equation can be written as ΔU = Q - PΔV, where P is the constant pressure and ΔV is the change in volume. This equation accounts for both heat transfer and work done against the constant pressure.

Therefore, by applying appropriate schematics and considering the specific conditions of a given scenario, one can deduce the explicit form of the energy balance equation and understand the interplay between heat, work, and the change in internal energy.

Learn more about thermodynamics here:

https://brainly.com/question/1368306

#SPJ4

Answer:

-\(\frac{1}{4}x\) + y = -2

Step-by-step explanation:

Standard form: Ax + By = C

y + 2 = \(\frac{1}{4} x\)

Rearrange terms:

1. Subtract 2 from both sides

y =  \(\frac{1}{4} x\) - 2

2. Subtract  \(\frac{1}{4} x\) from both sides

-\(\frac{1}{4}x\) + y = -2

Answer:

The second answer is the correct answer and the explanation in the attachment

It will cost $225 to pour 25 yd3 of concrete with 3 workers working at a rate of $15 per hour.

To determine the cost to pour 25 yd3 of concrete, you can use the following formula:

cost = (number of workers * worker rate per hour * number of hours)

In this case, the number of workers is 3, the worker rate per hour is $15, and the number of hours can be calculated by dividing the volume of concrete to be poured (25 yd3) by the rate at which the workers can pour concrete (5 yd3 per hour). Therefore, the number of hours it will take to pour 25 yd3 of concrete is 25/5=5 hours.

Plugging these values into the formula gives:

cost = (3 workers * $15/hour * 5 hours) = $<<3155=225>>225

Learn more about cost determination at:

brainly.com/question/28579961

#SPJ4

Answer:

1 , not a function

2. function

3. not a function

4. not a function

5. function

6. function

7. not a function

8. function

9. not a function

10. not a function

To prove the equation 1 · 1! + 2 · 2! + ··+ n · n! = (n + 1)! - 1 for a positive integer n, we can use mathematical induction. The base case is n = 1, where the equation holds true.

Explanation:

We start with the base case n = 1:

1 · 1! = (1 + 1)! - 1

1 = 2 - 1

1 = 1

The equation holds true for n = 1.

Next, we assume that the equation holds for some positive integer k:

1 · 1! + 2 · 2! + ··+ k · k! = (k + 1)! - 1

Now, we need to prove that the equation holds for k + 1:

1 · 1! + 2 · 2! + ··+ k · k! + (k + 1) · (k + 1)! = ((k + 1) + 1)! - 1

Simplifying the left side of the equation, we have:

(k + 1)! + (k + 1) · (k + 1)! = (k + 2)! - 1

Factoring out (k + 1)! from the left side, we get:

(k + 1)! (1 + (k + 1)) = (k + 2)! - 1

Simplifying further, we have:

(k + 2)! = (k + 2)! - 1

Since the equation holds true for k, it also holds true for k + 1.

By using mathematical induction, we have proven that 1 · 1! + 2 · 2! + ··+ n · n! = (n + 1)! - 1 for all positive integers n.

Learn more about mathematical induction here:

https://brainly.com/question/29503103

#SPJ11

Answer:

30000 or 3×10^4

Step-by-step explanation:

both are right it depends on what ur teacher prefers. but they both mean the same thing and have 1 sig fig

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference.

so, Pythagoras applies.

c² = a² + b²

distance² = (2 - -7)² + (11 - 9)² = 9² + 2² = 81 + 4 = 85

distance = sqrt(85) = 9.219544457... ≈ 9.2

The distance between the points A(2,11) and B(−7,9) is d = √85.

There are two points (a, b) and (c, d) then the distance between two points is

d= √(c -a)² + (d-b)²

We have the points A(2, 11) and B(-7, 9).

Using the Distance Formula

d = √(-7-2)² + (9-11)²

d= √(-9)² + (-2)²

d= √81 + 4

d = √85

Thus, the distance between points is √85 unit.

Learn more about Distance Formula here:

https://brainly.com/question/28956738

#SPJ2

Answer:

\((c)\ f(5) < g(3)\)

Step-by-step explanation:

Given

\(f(n) = 2(n-1) -1\)

\(g(n) = 3n + 6\)

Required

Which is correct

\((a)\ g(6) < f(6)\)

Calculate g(6) and f(6)

\(f(n) = 2(n-1) -1\)

\(f(6) = 2(6 - 1) -1 = 2*5-1=9\)

\(g(n) = 3n + 6\)

\(g(6) =3*6 +6 =24\)

(a) is false, because g(6) > f(6) i.e. 24 > 9

\((b)\ f(7) > g(10)\)

Calculate f(7) and g(10)

\(f(n) = 2(n-1) -1\)

\(f(7) = 2*(7-1)-1=2*6-1=11\)

\(g(n) = 3n + 6\)

\(g(10) =3*10+6=36\)

(b) is false, because f(7) < g(10) i.e. 11 <36

\((c)\ f(5) < g(3)\)

Calculate f(5) and g(3)

\(f(n) = 2(n-1) -1\)

\(f(5) =2 *(5-1)-1 = 2*4-1=7\)

\(g(n) = 3n + 6\)

\(g(3) = 3*3+6=9+6=15\)

(c) is true, because f(5) < g(3) i.e. 7 <15

Answer:

the answer is f(7) > g(10) because 63 > 36.

Step-by-step explanation:

Diego can carve A. 7 pieces of 1/10 meter pieces of wood alebrijes.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Diego carves and paints alebrijes.

He cuts a piece of wood that is 3/4 meter long into smaller pieces that are each 1/10 meter long.

Therefore, The number of alebrijes having a length of 1/10 meters is,

= (3/4)/(1/10).

= (3/4)×10.

= 30/4.

Or complete 7 pieces, As 30 = 4×7 + 2.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

The number of total parts in the ratio, given the ratio the line is divided into is a total of 7 parts .

When a line is divided in the ratio 3 : 4 , it means that the line is divided into 3 parts and 4 parts. The total number of parts is 3 + 4 = 7.

For example, if a line segment is 7 units long, then the part that is in the ratio of 3 : 4 would be 3 / 7 of the line segment and the other part would be 4 / 7 of the line segment.

Find out more on ratios at https://brainly.com/question/30289280

#SPJ1

Full question is:

A line is divided in the ratio 3/4. How many total parts in the ratio?

Your answer is 60.

We can write the given statement in equation form:

\(30 = 60a\)

Now, if we divide both sides by "a", we get:

\(\frac{30}{a} = 60\)

Because (60 × a)/a = 60.

You can also answer this question by solving for a, and then dividing 30 by this value:

30 = 60a

÷ 60

1/2 = a

Therefore, 30 ÷ 1/2 = 60.

I hope this helps!

Answer:

  d is true

Step-by-step explanation:

Linear dimensions are multiplied by the scale factor. Area dimensions are multiplied by the square of the scale factor.

__

False

The area of the new garden will be (4/5)² = 16/25 of the area of the original garden.

__

False

see (a)

__

False

see (d)

__

True.

Perimeter is a linear dimension, measured in length units. The perimeter of the new garden will be 4/5 the perimeter of the old garden.

1) The fraction is given as,

c) The fraction is given as,

d) The fraction is given as,

a-1 ROP ≈ 25.48 gallons

a-2 Days of Supply ≈ 11.51 days

b-1 Order Size ≈ -4.52 gallons

b-2 P(stockout) ≈ 65%

c the probability that the dairy will run out of walnut fudge ice cream before the shipment arrives is 100%.

a-1. ROP (Reorder Point):

The formula for ROP is ROP = (Z * σL) + d, where Z is the Z-value corresponding to the desired service level, σL is the standard deviation of demand during lead time, and d is the average demand during lead time.

Mean demand (μ) = 21 gallons per week

The standard deviation of demand (σ) = 3.5 gallons per week

Service level (SL) = 90% (which corresponds to a Z-value of 1.28 for a normal distribution)

ROP = (Z * σL) + d

ROP = (1.28 * 3.5) + 21

ROP ≈ 25.48 gallons (rounded to 2 decimal places)

a-2. Days of Supply at ROP:

Average demand per day (d_avg) = μ / 7 (since the dairy is open 7 days a week)

Days of Supply = ROP / d_avg

Days of Supply ≈ 25.48 / (21 / 7)

Days of Supply ≈ 11.51 days (rounded to 2 decimal places)

b-1. Order Size for Fixed-Interval Model:

The formula for order size in a fixed-interval model is Order Size = R - (d_avg * T), where R is the reorder point, d_avg is the average demand per day, and T is the order interval in days.

Reorder Point (R) = ROP calculated in part a-1 = 25.48 gallons

Average demand per day (d_avg) = μ / 7 = 21 / 7 = 3 gallons per day

Order interval (T) = 10 days

Order Size = R - (d_avg * T)

Order Size = 25.48 - (3 * 10)

Order Size ≈ 25.48 - 30

Order Size ≈ -4.52 gallons (rounded to the nearest whole number)

Note: The calculated order size is negative, which means no order is needed for the given conditions.

b-2. Probability of Stockout in Fixed-Interval Model:

The formula for the probability of stockout in a fixed-interval model is P(stockout) = 1 - [1 - P(daily stockout)]^T, where P(daily stockout) is the probability of stockout on any given day.

P(daily stockout) = 1 - SL = 1 - 0.9 = 0.1 (from the desired service level)

Calculating:

P(stockout) = 1 - [1 - P(daily stockout)]^T

P(stockout) = 1 - [1 - 0.1]^10

P(stockout) ≈ 0.6513 (rounded to the nearest whole percent)

P(stockout) ≈ 65% (rounded to the nearest whole percent)

c. Probability of Running Out Before Shipment Arrives:

To calculate the probability of running out before the shipment arrives, we need to use the cumulative distribution function (CDF) of the normal distribution.

Given:

Lead time = 2 days

Demand during the lead time (d_L) = 2 gallons

Calculating:

Probability of Running Out = P(X > d_L)

Probability of Running Out = P(X > 2), where X follows a normal distribution with μ and σ provided

Probability of Running Out = 1 - P(X ≤ 2)

Probability of Running Out ≈ 1 - P(Z ≤ (2 - μ) / σ), using standardization

Probability of Running Out ≈ 1 - P(Z ≤ (2 - 21) / 3.5)

Probability of Running Out ≈ 1 - P(Z ≤ -5.29)

Probability of Running Out ≈ 1 - 0

Probability of Running Out ≈ 1

Therefore, the probability that the dairy will run out of walnut fudge ice cream before the shipment arrives is 100%.

Learn more about Fixed-Interval Model here:

https://brainly.com/question/32294970

#SPJ11

P(A)=1/5, P(B)=7/20, P(A and B)= 7/100. The events A and B are independent.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

1) P(A)=1/5, P(B)=7/20, P(A and B)= 7/100

Here, P(A and B)= P(A)×P(B)

= 1/5 × 7/20

= 7/100

So, the events A and B are independent.

2) P(A)=13/20, P(B)=13/20, P(A and B)= 169/400

Here, P(A and B)= P(A)×P(B)

= 13/20 × 13/20

= 169/400

So, the events A and B are independent.

3) P(A)=7/10, P(B)=2/5, P(A and B)= 21/100

Here, P(A and B)= P(A)×P(B)

= 7/10 × 2/5

= 14/50

So, the events A and B are not independent.

2) P(A)=1/5, P(B)=1/5, P(A and B)= 1/25

Here, P(A and B)= P(A)×P(B)

= 1/5 × 1/5

= 1/25

So, the events A and B are independent.

Therefore, options 1, 2 and 4 are correct answers.

Learn more about the independent probability here:

https://brainly.com/question/27987662.

#SPJ1