Sam is proving the product property of logarithms. Step justification mc030-1. Jpg given mc030-2. Jpg substitution which expression and justification completes the third step of her proof? mc030-3. Jpg; power rule of exponents mc030-4. Jpg subtraction property of exponents mc030-5. Jpg multiplication rule of exponents mc030-6. Jpg division property of exponents.
Based on the properties of logarithms, Sam's justification for the third step would be [tex]log_{b} ( b ^{x} ^{+} ^{y})[/tex] power rule of exponents.
Why would this be the third step?When multiplying bases that are the same but with different exponents, the exponents should be added.
= [tex]log_{b} (b^{x} . b^{y})[/tex]
Can be written as:
= [tex]log_{b} ( b ^{x} ^{+} ^{y})[/tex]
In conclusion, option C is correct.
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Answer:
c
Explanation:
got it right on edge 2022
How many days will it take a spaceship to accelerate from rest to the speed of light (3. 0×108m/s) with the acceleration g?.
The number of days it takes for a spaceship to accelerate from rest to the speed of light is; 354.3days
Acceleration and SpeedThe acceleration, a of an object is it's change in velocity per unit time;
Hence, Time taken, T is given as;
T = (v-u)/aSince, a= g = 9.8m/s² and the spaceships starts from rest;
T = 3×10⁸/9.8T = 30,612,244.9seconds.However, the number of seconds in a day is;
D = 24×60×60 = 86,400s.Hence, Time , T in days is;
T = (30,612,244.9/86400) daysT = 354.3days.
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Which of the following best describes the effect of the new deal on the great depression.
Answer:Roosevelt's "New Deal" aimed at promoting economic recovery and putting Americans back to work through Federal activism. New Federal agencies attempted to control agricultural production, stabilize wages and prices, and create a vast public works program for the unemployed.
Explanation:
A client has requested adjustments to the arrangement and placement.
Based on the situation described above, the client wants to make changes to the composition of the painting in general.
What is the arrangement and placement of an image?In the visual arts, mostly in the aspect of painting, graphic design, photography. etc., the composition is known to be the placement or arrangement of visual elements or factors imbedded in a work of art.
The client wants to make changes to the composition of the painting because he or she may not have like some of the elements used in the image.
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a client has requested adjustments to the arrangement and placement of elements on an image. what does the client want changed?
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In the reaction below, 7. 0 mol of no and 5. 0 mol of o₂ are reacted together. The reaction generates 3. 0 mol of no₂. What is the percent yield for the reaction? 2 no (g) + o₂ (g) → 2 no₂ (g).
Considering the reaction stoichiometry and the definition of limiting reagent, the percent yield for the reaction is 42.86%.
Reaction stoichiometryThe balanced reaction is:
2 NO + O₂ → 2 NO₂
By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:
NO: 2 molesO₂: 1 moleNO₂: 2 molesLimiting reagentThe limiting reagent is one that is consumed first in its entirety, determining the amount of product in the reaction. When the limiting reagent is finished, the chemical reaction will stop.
To determine the limiting reagent, it is possible to use the reaction stoichiometry of the reaction (that is, the relationship between the amount of reagents and products in a chemical reaction) and use a simple rule of three as follows: if by stoichiometry 1 mole of O₂ reacts with 2 moles of NO, if 5 moles of O₂ react how much moles of NO will be needed?
[tex]moles of NO=\frac{5 moles of O_{2} x2 moles of NO}{1 mole of O_{2} }[/tex]
moles of NO= 10 moles
But 10 moles of NO are not available, 7 moles are available. Since you have less moles than you need to react with 5 moles of O₂, NO will be the limiting reagent.
Moles of NO₂ producedThen you can apply the following rule of three, considering the limiting reagent: if by stoichiometry 2 moles of NO produce 2 moles of NO₂, 7 moles of NO will produce how many moles of NO₂?
[tex]amount of moles of NO_{2} =\frac{7 moles of NOx2 moles of NO_{2}}{2 moles of NO}[/tex]
amount of moles of NO₂= 7 moles
So, the amount of moles of NO₂ produced is 7 moles.
Percent yieldThe maximum amount of product that can be produced is called the theoretical yield.
Percent yield is the amount of product actually obtained from a reaction and determines the efficiency of the reaction.
The expression for percent yield is:
[tex]Percent yield=\frac{actual yield}{theoretical yield}x100[/tex]
To determine the percent yield for the reaction in this case, you know:
actual yield= 3 molestheoretical yield= 7 molesReplacing in the definition of percent yield:
[tex]Percent yield=\frac{3 moles}{7 moles}x100[/tex]
Percent yield= 42.86%
Finally, the percent yield for the reaction is 42.86%.
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A. In cell a6, enter a formula without using a function that references cell a6 in the washington worksheet.
The formula to use without using a function is 'Washington worksheet'a6!
What is Cell Referencing?In Microsoft Excel, A cell reference is the referencing of a cell or a group of cells on a worksheet that can be used in computation to discover the data values that you want to calculate.
So, suppose we have a cell a6 on the worksheet and we want to go to the Washington worksheet.
We need to follow these procedures:
Take the name of the Washington worksheetEnclose it in single quotation marks. Use an exclamation point. i.e. 'Washington worksheet'a6!This will take the value from cell a6 and place it in our cell.
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Which of the following statements best illustrates a social-cognitive explanation for the development of depression?.
Answer:
Yolanda ruminates about her failures, so she is more likely to develop depression
Explanation:
What is the craziest thing you guys have ever done-
Yes this is needed for school since they are asking what is the craziest thing I have ever done.
Answer:
laughed àt myself in the mirror at the morning
In 1933, american farms ran on electrical power. The rural electrification authority worked to solve this problem. Helped set up power lines across the country. By 1950, farms ran on electrical power.
Answer:
1.one out of 10
2.private utility companies
3.nine out of 10
Explanation:
A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimate the average total number of minutes spent on social media per day in the population. A random sample of 50 high school students was selected, and they were asked, "how many minutes per day, on average, do you spend visiting social media sites?" which of the following is the most appropriate inference procedure for the sociologist to use?.
Answer:
A one-sample z-interval for a population proportion
Explanation:
One-sample z-interval for a population proportion.
Who is Sociologist?Sociology is the study of how people affect and are affected by society. According to the dictionary, "the systematic study of society and social interaction" is what sociology is.
The word "sociology," which is described as "reasoned conversation concerning friendship," is derived from the Latin word socius, which means "fellow," and the Greek word logos, which means "saying or reason."
Sociologists use a variety of methods to study society and social behavior. They examine how people develop social structures, organizations, communities, cultures, and groups before applying these lessons to the real world.
Therefore, One-sample z-interval for a population proportion.
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Let a =⟨–7, 3⟩ and b =⟨–2, –12⟩, and c = a + b. What is the magnitude and direction angle of c?.
Answer:
lcl = 9 radical 2; theta = 225 degrees
Explanation:
The answer is D!
In how many ways can you roll either a sum of 4 or a sum of 11 with a pair of dice?.
Answer:
Roll a pair of dice for both of them to have 2 dots to get 4. To get 11 you must have one die to get 5 dots and the other to get 6 dots.
Explanation:
Sara’s guatemalan host mother often sings around the house. Sara asks her to write down the lyrics to one of her favorite songs so that she can learn to sing along. Which one of the following themes does not appear in the lyrics to this song?.
Answer:
C. Prayer
Explanation:
got it right on edg. :)
Which of the following illustrates the product law of logarithms?.
Answer:
log(xy) = log (x) + log(y)
Explanation:
can't see the options but the product law is
log(xy) = log (x) + log(y)
A neighborhood group wants to build a new playground using donations from residents.
If donations are received from 45 people, each one should contribute 75 dollars to get the total necessary to build the playground.
How to calculate how much each donor should contribute?To calculate how much each donor must contribute, we must take into account the total money that it is worth to build the park. To do this, we perform the following operation:
25 × $135 = $3,375
So if 45 people donated, we need to divide this value by that number of people as shown below:
$3375 ÷ 45 = $75
Note: This question is incomplete because there are some information missing. Here is the missing information:
A neighborhood group wants to build a new playground using donations from residents. The amount needed from each donor varies inversely to the number of people donating. If 25 people donate, each of them would need to contribute $135. Solve for the amount each person needs to contribute if 45 people donate.
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Answer:
$75.00
Explanation:
Given amount of people: 25.
Needed contribution: $135.
Total contribution: 25 * 135 = $3375
Divide $3375 by 45 to see how much each of the 45 people would need to contribute,
$3375/45 = $75.00
$75.00 is what each person would need to donate.
Driving cattle on the cattle trails was very hard work in hot, dry locations. Which incentive did people have to do this difficult work?.
Answer:
The price they could get for selling cattle was high
Explanation:
What does the underlined word mean in the following sentence? me gusta más mirar la televisión que estudiar en el escritorio. Desk chair table t. V.
Answer: brush your teeth
Explanation:
A spherical tank is 4 m tall and therefore has a capacity of about 33500 l (note that 4m is its diameter, and one cubic meter is 1000 l). You have been asked to put level lines on the tank showing the depths where the tank contains 10000, 20000, and 30000 l of liquid.
The level line at 10,000 liters is 2.65 m, the level line at 20,000 liters is 3.36 m and the level line at 30,000 liters is 3.85 m.
Volume of the spherical tank
The volume of the spherical tank is calculated by using the following formula as shown below;
[tex]V = \frac{4}{3} \pi r^3= \frac{4}{3} \pi (\frac{d}{2} )^3= \frac{4}{3} \pi \frac{d^3}{8} = \frac{1}{6} \pi d^3[/tex]
The depth of the tank at different capacity levelThe level lines on the tank showing the depths of different capacities is calculated as follows;
[tex](\frac{1}{6} \pi d^3 )k = V\\\\k = \frac{V}{d^3} \\\\\frac{V_1}{d_1^3} = \frac{V_2}{d_2^3}\\\\d_2 = \sqrt[3]{\frac{V_2d_1^3}{V_1} }\\\\for \ 10,000 \ L\\\\d_2 = \sqrt[3]{\frac{10,000\times 4^3}{33,500} }\\\\d_2 = 2.65 \ m\\\\for \ 20,000 L\\\\d_3 = \sqrt[3]{\frac{20,000\times 4^3}{33,500} }\\\\d_3 = 3.36\ m\\\\d_4 = \sqrt[3]{\frac{30,000\times 4^3}{33,500} }\\\\d_4 = 3.85 \ m[/tex]
Thus, the level line at 10,000 liters is 2.65 m, the level line at 20,000 liters is 3.36 m and the level line at 30,000 liters is 3.85 m.
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The level line for 10000 l is : 2.65 m , The level line for 20000 l is : 3.36 m . and The level line for 30000 l is : 3.85 m
Given data :
Diameter of tank ( d ) = 4 m
1 cm³ = 1000 l
Volume of a spherical tank
The volume of a spherical tank can be calculated as
V = [tex]\frac{4}{3}\pi r^3 = \frac{1}{6}\pi d^3[/tex]
Next step : calculate the level lines at various capacities
applying equation above
V = [tex](\frac{1}{6} \pi d^3)k[/tex]
where k = v / d³
therefore : di = [tex]\sqrt[3]{\frac{Vid^3}{V_{1} } }[/tex] ------- ( 1 )
where : di = level line , Vi = volume of tank , V1 = capacity of tank = 33500
d = diameter of tank
Applying equation ( 1 )
For Vi = 10000 llevel line ( di ) = 2.65 m
For Vi = 20000 llevel line ( di ) = 3.36 m
For Vi = 30000 llevel line ( di ) = 3.85 m
Hence we can conclude that The level line for 10000 l is : 2.65 m , The level line for 20000 l is : 3.36 m . and The level line for 30000 l is : 3.85 m
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This figure consists of a rectangle and semicircle. What is the perimeter of this figure? use 3. 14 for pi.
Answer:
Wheres the figure
Explanation:
A triangle is inscribed in a semicircle. One angle measures 50°. What is the measure of the other two angles?.
Answer:
90 degrees and 40 degrees
Explanation:
When finding angles of a triangle within a semicircle the triangle would usually be a right triangle. One common fact about right triangles is always that they have 90-degree angles, one common fact about triangles angles in general is that all three angles add up to 180 degrees.
So, if we have 50-degree angle and a 90-degree angle:
[tex]180-90=90[/tex]
[tex]90-50=40[/tex]
[tex]=40[/tex]
Therefore, your three angles are "50, 90, and 40 degrees."
Hope this helps.
Both leopold and matthai believe that we must protect the environment and and preserve our natural resources so the good life is possible for future generations. Discuss a solution that each of them proposes, describe how they are similar and how they are different, and explain which author makes the most compelling argument in your opinion.
Leopoldo and Matthai's arguments in relation to environmental preservation are similar in the sense that they have the same scope, which is the protection of the environment to maintain the quality of life for current and future generations.
Regarding the differences in the basis of the argument between the two, Maathai builds his argument through a personal discourse, whereas Leopoldo's argument is related to a general problem, such as the lack of information available to the population on the subject.
Triple Botton LineIt corresponds to fundamental aspects that must be integrated into societies and their institutions in order to promote the sustainable development of natural resources and society. The Triple Botton Line is formed by the pillars:
SocialEconomicEnvironmentalTherefore, Leopoldo and Matthai's arguments are positive and contribute to the dissemination of information and the promotion of discussion about the importance of environmental preservation and its impacts on everyone's lives.
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If quadrilateral pqrs is a kite, which statements must be true? select three options qp ≅ qr pm ≅ mr qr ≅ rs ∠pqr ≅ ∠psr ∠qps ≅ ∠qrs.
If quadrilateral pqrs is a kite, the statements that must be true is that:
qp ≅ qr pm ≅ mr ∠qps ≅ ∠qrs.What are quadrilateral?This is a term that is found in geometry. A quadrilateral is known to be a kind of a closed, two-fold shape that has four straight sides.
The polygon is also known to have four vertices or corners. The shape of quadrilaterals can be seen in a lot of things around us. If quadrilateral pqrs is a kite, the statements that best shows that it is a kite are qp ≅ qr, pm ≅ mr , and ∠qps ≅ ∠qrs.
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Answer:
A, B, and E are the correct options.
Explanation:
Two disjoint pairs of consecutive sides are congruent by definition - QP≅QR and QR is not congruent to RS (one side can’t be used in both pairs);
One diagonal (segment QS, the main diagonal) is the perpendicular bisector of the other diagonal (segment PR, the cross diagonal), so PM≅MR;
The opposite angles at the endpoints of the cross diagonal are congruent, thus ∠QPS≅∠QRS.
∠PQR is not congruent to ∠PSR, because they are not angles at the endpoints of the cross diagonal.
Therefore, A, B, and E are the correct options.
What is the name for the movement in which the catholic church sought to correct abuses and malpractices within its structure?.
The movement in which the catholic church sought to correct abuses and malpractices within its structure is known as "The counter-reformation."
The period of Counter Reformation in the Catholic ChurchThe name for the movement is called Counter-Reformation.
This period was the time of Catholic resurgence that started started as a result of the Protestant Reformation that took off with the Council of Trent.
The changes this counter reformation sought to implement were the establishment of theological schools, changing religious life by returning requests to their otherworldly establishments, new otherworldly developments concentrating on the reverential life and an individual association with Christ e.t.c
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In 2004, the general social survey (which uses a method similar to simple random sampling) asked, "do you consider yourself athletic?" for this question, 255 people said that that they did out of 2373 randomly selected people. We will make a 99% confidence interval for:.
Using the z-distribution, as we are working with a proportions, it is found that the 99% confidence interval for the proportion of people who consider themselves athletic is (0.0911, 0.1239).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, the parameters are as follows:
[tex]z = 2.575, n = 2373, \pi = \frac{255}{2373} = 0.1075[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1075 - 2.575\sqrt{\frac{0.1075(0.8925)}{2373}} = 0.0911[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1075 + 2.575\sqrt{\frac{0.1075(0.8925)}{2373}} = 0.1239[/tex]
The 99% confidence interval for the proportion of people who consider themselves athletic is (0.0911, 0.1239).
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A car dealership offers two types of discounts. Discount 1: take 5% off the original price of a care built last year and then receive a $3,500 rebate. Discount 2: take 10% off the original price of a car built this year and then receive a $1,250 rebate. A customer is deciding between two cars. Car r was built last year and has an original price of $25,340. Car s was built this year and has an original price of $22,860. Based on this information, which statement is true?.
The correct statement is the customer would pay $19,324 for Car S.
What is a discount and a rebate?
A discount is when the price of an item is reduced by a certain amount or percentage. A discount reduces the cost of an item. A rebate is a form of cash back on the price of an item. A rebate reduces the cost of an item.
What are the prices of the cars?Price of Car R = (100% - 5%) x $25,340
95% x $25,340
0.95 x $25,340
= $24,073
$24,073 - $3,500 = $20,573
Price of Car S = (100% - 10%) x $22,860
90% x $22,860
$22,860 x 0.9
= $20,574
$20,574 - $1,250 = $19,324
Here are the options to this question:
A) The customer would pay $23,107 for Car R
B) The customer would pay $24,073 for Car R
C) The customer would pay $19,324 for Car S
D) The customer would pay $21,824 for Car S
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In the early 1600s which issue regarding contact between.
Dvds and blu-ray disks store information in patterns that are read by laser light. The shorter the wavelength of the light, the closer the data tracks can be placed on the disk.
The discrepancies in the wavelength allows the Bluray Disk to store more information
What are the Disk Wavelenghts?The wavelenght of the red light is around 700nm whereas the wavelenght of violet light is around 400nm.
Because the violet light has smaller wavelenght, the data tracks on a Blu-ray Disk can be spaced closer together thus, making its can store more information.
In conclusion, the discrepancies in the wavelength allows the Bluray Disk to store more information.
Missing information "Blu-ray player uses violet light; a DVD player uses red light. Which disk can store more information"
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What statement about presidential reelection is most accurate.
How many moles of oxygen atoms are there in 10. Moles of kclo3?.
Answer:
There are 30 moles of O in 10 moles of KCIO3.
There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious apples, 48 had blemishes. In a random sample of 75 of the red delicious apples, 42 had blemishes. Assume all conditions for inference have been met. Which of the following is closest to the interval estimate of the difference in the numbers of apples with blemishes (golden delicious minus red delicious) at a 98 percent level of confidence?.
Using the z-distribution, it is found that the 98% confidence interval for the difference in the proportion of apples with blemishes is of (-0.1055, 0.2655).
Sample proportions and standard errorsThe sample proportions, and standard error for each sample, are given as follows:
[tex]p_G = \frac{48}{75} = 0.64[/tex]
[tex]s_G = \sqrt{\frac{0.64(0.36)}{75}} = 0.0554[/tex]
[tex]p_R = \frac{42}{75} = 0.56[/tex]
[tex]s_R = \sqrt{\frac{0.56(0.44)}{75}} = 0.0573[/tex]
Distribution of differencesThe distribution of differences has mean and standard error given by:
[tex]p = p_G - p_R = 0.64 - 0.56 = 0.08[/tex]
[tex]s = \sqrt{s_G^2 + s_R^2} = \sqrt{0.0554^2 + 0.0573^2} = 0.0797[/tex]
What is the confidence interval?The confidence interval is given by:
[tex]p \pm zs[/tex]
z is the critical value. We have a 98% confidence level, hence, using a z-distribution calculator, it is of z = 2.327.
The lower limit of this interval is:
[tex]\pi - zs = 0.08 - 2.327(0.0797) = -0.1055[/tex]
The upper limit of this interval is:
[tex]\pi + zs = 0.08 + 2.327(0.0797) = 0.2655[/tex]
The 98% confidence interval for the difference in the proportion of apples with blemishes is of (-0.1055, 0.2655).
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