By using the quotient of powers property, we will see that the value of n must be 6.
What is the value of n in the equation?Here we want to solve the equation below:
2.3 × 10^9 = (1 × 10^3)(2.3 × 10^n)
For the exponent n.
To fo so, we can start by dividing both sides by the first factor on the right side.
2.3 × 10^9 = (1 × 10^3)(2.3 × 10^n)
(2.3× 10^9)/(1 × 10^3) = 2.3 × 10^n
Remember the quotient between powers of the same base:
a^n/a^m = a^{n - m}
Then we will get:
(2.3× 10^9)/(1 × 10^3) = 2.3 × 10^n
(2.3/1)×(10^9/10^3) = 2.3 × 10^n
Now we can use the property written above:
2.3×10^{9 - 3} = 2.3 × 10^n
2.3×10^6 = 2.3×10^n
There we can see that the value of n must be 6.
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(01.06 MC)
Graph with Q on x axis, P on y axis. Curve S rises from the origin and increases in both x and y dimensions. Line D1 decreases in both x and y dimensions. An arrow points from line D1 to line D2, which is identical in shape to line D1, but shifted one unit to the positive x direction. Dashed lines extend in the positive x direction from P1 and in the positive y direction from Q1, intersecting line S and line D1. Dashed lines extend in the positive x direction from P2 one unit in the positive y direction from P1 and in the positive y direction from Q2 one unit in the positive x direction from Q1, intersecting line S and line D2.
Creative Commons
The price (P) of designer jeans is affected by the supply (S) and the demand (D).
What does this graph show? (5 points)
Group of answer choices
Demand for more pairs of jeans causes reduced supply and increased price.
Demand for more pairs of jeans results in an increase in both price and quantity supplied.
Fewer pairs of jeans sold causes increased supply and decreased price.
Fewer pairs of jeans sold results in a decrease in both price and supply.
The graph shows that a shift in demand can affect the equilibrium price and quantity of designer jeans. In this case, the shift in demand has caused an increase in both the price and quantity supplied of the jeans.
The graph given shows the relationship between the price (P) of designer jeans, the supply (S), and the demand (D).
The curve S represents the supply of designer jeans, which increases as the price of the jeans increases. The line D1 represents the demand for the jeans, which decreases as the price of the jeans increases.
The arrow pointing from line D1 to line D2 indicates that there is a shift in demand, resulting in a new demand line (D2) that is identical in shape to the previous demand line (D1) but shifted one unit to the positive x direction.
The dashed lines extending in the positive x direction from P1 and in the positive y direction from Q1 intersecting line S and line D1 show the equilibrium point where the price and quantity supplied meet the demand.
The dashed lines extending in the positive x direction from P2 one unit in the positive y direction from P1 and in the positive y direction from Q2 one unit in the positive x direction from Q1, intersecting line S and line D2, represent the new equilibrium point after the shift in demand.
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Multiply.
(x + 7)(3x - 2)
O A. 3x2 – 23x - 14
O B. 3x2 – 2x - 14
O C. 3x2 + 21x - 14
O D. 3x2 + 19x - 14
Answer:
D. 3x² + 19x - 14
Step-by-step explanation:
Use FOIL to find the answer.
First: x * 3x = 3x²
Outer: -2 * x = -2x
Inner: 3x * 7 = 21x
Last: 7 * -2 = -14
Form the equation:
3x² - 2x + 21x - 14
Combine like terms.
3x² + 19x - 14
jennifer has three more dimes than nickels and three times as many quarters as nickels. if she has $7.50, how many quarters does she have? www.wyzant
Jennifer has 48 nickels, which means she has 144 quarters.
Let's call the number of nickels Jennifer has "n".
Since Jennifer has three more dimes than nickels, she has n + 3 dimes.
And since she has three times as many quarters as nickels, she has 3n quarters.
We can start by figuring out the total value of the nickels and dimes in terms of cents:
n * 5 cents + (n + 3) * 10 cents = 750 cents
Expanding the right side of the equation and solving for n:
5n + 10n + 30 cents = 750 cents
15n + 30 cents = 750 cents
15n = 720 cents
n = 48
So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.
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What is the area of a rhombus with diagonals that measure 7 inches and 5 inches? 35 in2 8.75 in2 12 in2 17.5 in2
The area of the rhombus is 17.5 square inches.
The formula to find the area of a rhombus is:
Area = (diagonal1 x diagonal2) / 2
where diagonal1 and diagonal2 are the lengths of the diagonals.
diagonal1 = 7 inches and diagonal2 = 5 inches.
we can plug these values into the formula:
Area = (7 x 5) / 2
Area = 35 / 2
Area = 17.5 square inches
Therefore, the area of the rhombus is 17.5 square inches.
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x = 3y +9
2x – 3y = 9
help plz
Answer:
Their are caculators online search the type of math it is then put caculator for example exponents caculator
Step-by-step explanation:
Which set of shapes could be used to form a net for a square pyramid?
1 square and 4 triangles
2 squares and 4 triangles
1 square and 4 rectangles
2 squares and 4 rectangles
Answer:
1 square and 4 triangles
Step-by-step explanation:
Answer:
The answer is (A) or 1 square and 4 triangles .
Step-by-step explanation:
Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .
Interest on $5.255 at 12% for 30 days (use ordinary interest) is: Multiple Choice:
a. $52.55 b. $5,307.55 c. $5.26 d. $5,260.26
The interest on $5.255 at 12% for 30 days using ordinary interest can be calculated using the formula:I = PRT,Where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period.
Here, P = $5.255, R = 12% = 0.12 (as a decimal), and T = 30/365 = 0.08219 (in years, as the time is given in days).
So,
I = 5.255 x 0.12 x 0.08219 = $0.0518
Rounding to two decimal places, the interest on $5.255 at 12% for 30 days using ordinary interest is $5.26. Therefore, the correct answer is option (c).
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PLS HELP
A. Alternate interior angles
B. Vertical angles
C. Supplementary angles
D. Alternate exterior angles
Answer:
b or c
Step-by-step explanation:
Answer:
A. Angles 4 and 5 are Alternate Interior Angles.
Determine the intercepts of the line. Do not round your answers. 3x+2y=5
Answer:
\(\textsf{$x$-intercept}: \quad \left(\dfrac{5}{3},0 \right)\)
\(\textsf{$y$-intercept}: \quad \left(0,\dfrac{5}{2} \right)\)
Step-by-step explanation:
Given equation:
\(3x+2y=5\)
The x-intercept is when y = 0:
\(\implies 3x+2(0)=5\)
\(\implies 3x=5\)
\(\implies x=\dfrac{5}{3}\)
Therefore, the x-intercept is:
\(\left(\dfrac{5}{3},0 \right)\)
The y-intercept is when x = 0:
\(\implies 3(0)+2y=5\)
\(\implies 2y=5\)
\(\impiles y=\dfrac{5}{2}\)
Therefore, the y-intercept is:
\(\left(0,\dfrac{5}{2} \right)\)
Solve triangles using the law of sines
Answer:
BC = 18.7
Step-by-step explanation:
Here, we want to solve the triangle using the law of sines
According to the law, the ratio of the measure of the side of a triangle and the sine of the angle that faces the side is a constant for all sides of the triangle
Mathematically;
a/sin A = b/sin B = c/sin C
with reference to this particular triangle, we have it that;
20/sin 80 = BC/ sin 67
BC = 20 * sin 67/sin 80
BC = 18.7
Which of the following represents the factorization of the trinomial below? x²+7x -30
OA (x-2)(x+15)
O B. (x-3)(x + 10)
C. (x − 3)(x - 10)
D. (x-2)(x - 15)
Answer:
the correct option is (B) (x-3)(x+10).
Step-by-step explanation:
To factorize the trinomial x²+7x-30, we need to find two binomials whose product is equal to this trinomial. These binomials will have the form (x+a) and (x+b), where a and b are constants.
To find a and b, we need to look for two numbers whose product is -30 and whose sum is 7. One pair of such numbers is 10 and -3.
Therefore, we can factorize the trinomial as follows:
x²+7x-30 = (x+10)(x-3)
Can u help me with my math please
Answer:
109
Step-by-step explanation:
Combine like terms, then solve
(refer to figure 26, area 2.) the visibility and cloud clearance requirements to operate vfr during daylight hours over the town of cooperstown between 1,200 feet agl and 10,000 feet msl are
The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.
Determine how to find the visibility and cloud clearance requirements to operate VFR?The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:
1. Visibility: The minimum visibility required is 3 statute miles.
2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.
According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.
This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.
Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.
Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.
These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.
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what is the anwser
-2|7x-1|= 14
Answer: -3/4
Step-by-step explanation: Lucky I just learned about this last week! Multiply 7 and -1 by -2 which makes the equation -14x + 2 = 14. Subtract 2 from both sides to make -16x = 12. Then divide each side by -16 and you get -3/4 = x.
Nice helping out!
Answer:
There are no solutions.
Step-by-step explanation:
Hello!
Isolate the absolute value equation first:
-2|7x - 1| = 14|7x - 1| = -7Now stop and think.
An absolute value equation always has a positive outcome, because you are finding the positive value of what's inside. The outcome here is negative, so there is no value of x that makes it so that the absolute value is negative.
So the solution is No Solutions.
En la función de la imagen la ecuación de la asíntota vertical es___
The equation for the asymptote of the graphed function is x = 7
How to identify the asymptote?The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.
Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.
The equation of the line where the asymptote is, is:
x = 7
So that is the answer.
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One month Deandre rented 5 movies and 3 video games for a total of $25. The next month he rented 2 movies and 6 video games for a total of $40. Find the rental cost for each movle and each video game.
Therefore, the rental cost for each movie is $2 and the rental cost for each video game is $5.
Let's assume the rental cost for each movie is M dollars and the rental cost for each video game is G dollars.
According to the given information, we can set up the following system of equations:
5M + 3G = 25 ...(1)
2M + 6G = 40 ...(2)
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the method of substitution:
From equation (1), we can express M in terms of G:
M = (25 - 3G)/5
Substituting this value of M into equation (2), we get:
2((25 - 3G)/5) + 6G = 40
Simplifying the equation:
(50 - 6G + 30G)/5 = 40
(30G + 50)/5 = 40
30G + 50 = 200
30G = 200 - 50
30G = 150
G = 150/30
G = 5
Substituting the value of G back into equation (1), we get:
5M + 3(5) = 25
5M + 15 = 25
5M = 25 - 15
5M = 10
M = 10/5
M = 2
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Please have me the answer is Been 10 minute I stil don’t know the anwser
Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. If there are 320 students at Megan’s school, about how many of them ride the bus to school each day?
Answer:
224 student ride the bus to school each day.
Step-by-step explanation:
Solve the following quadratic equation by factoring:
x^2 + 2x - 8 = 0
Answer: x = -4 and x = 2.
To factor a quadratic equation in the form of x^2 + bx + c = 0, we need to find two numbers that when multiplied together, give us c, and when added or subtracted, give us b.
We need to find two numbers whose product is -8 and whose sum is 2. These numbers are 4 and -2, so we can write:
x^2 + 2x - 8 = (x + 4)(x - 2) = 0
Setting each factor to zero, we get:
x + 4 = 0 or x - 2 = 0
Solving for x in each equation, we get:
x = -4 or x = 2
So, the solutions to the equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.
Jaden construction scale model of a building with a rectangle or a base model is 2 inches in length and 1 inch in with the scale of the model of 1 inch equals 47 feet what is the actual area in square feet of the base of the building
Answer:
4418
Step-by-step explanation:
2 inches=94ft
1 inch=47ft
94*47= 4418 ft
Roger has a credit card with an APR of 19. 40% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of June. Date Amount ($) Transaction 6/1 265. 40 Beginning balance 6/6 90. 00 Payment 6/16 43. 33 Purchase 6/22 37. 71 Purchase If Roger’s finance charge for June is $3. 56, which method of calculating the finance charge does Roger’s credit card company use? a. Daily balance method b. Adjusted balance method c. Previous balance method d. There is not enough information to determine which method was used.
Answer:
✅ A. daily balance methodi got it correct⬇️
The method that Roger's credit card company use is the average daily balance method.
(1) If Roger's company uses the previous balance method:
The total balance at the end of the month is:
P= 265.40+43.33+37.71= $346.44
The interest levied on this balance = 346.44*19.40/100 *1/12 = $5.60
(2)If Roger's company uses the adjusted balance method:
The total balance at the end of the month is:
P= 265.40+43.33+37.71-90= 256.44
The interest levied on this balance = 256.44*19.40/100 * 1/12 = $4.146
What is the average daily balance method?The average daily balance is a common accounting method that calculates interest charges by considering the balance invested or owed at the end of each day of the billing period, rather than the balance invested or owed at the end of the week, month, or year.
(3)if Roger's company uses the Daily balance method:
Balance up to 6/1 to 6/6 = 265.40 for 5 days
Balance up to 6/6 to 6/16 = 265.40-90 = 175.40 for 10 days
Balance up to 6/16 to 6/22 = 175.40+43.33. = 218.73 for 6 days
Balance upto 6/22 to 6/30 = 218.73+37.71 = 256.44 for 8 days
So average daily balance :
(265.40*5+175.40*10+218.73*6+ 256.44*8)/30= 214.83
The interest levied on this balance = 214.83*19.40/100 * 1/12= $3.47
Thus, the method that Roger's credit card company use is the average daily balance method.
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Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?
2.4 hours
2.5 hours
3.0 hours
4.0 hours
The answer is supposedly 2.4 hours, but how ?? Please explain. Thanks!
In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.
Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.
Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:
5x/12=1
The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Super Stars
66 68 62
63 47 64
65 50 60
64 65 65
58 60 55
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
Answers:
The Allstars, with a mean of about 67.1 inches
The Super Stars, with a mean of about 60.8 inches
The Allstars, with a median of 68 inches
The Super Stars, with a median of 63 inches
According to the mean height, the Allstars squad comprises players who are normally taller than the Super Stars team, with an average height of 67.3 inches compared to 61.9 inches.
What is Arithmetic Mean?The ratio of the sum of all observations to the total number of observations is known as the Arithmetic Mean (AM) or average in statistics. The arithmetic mean can be used to explain or describe ideas that are not related to statistics. The arithmetic mean can be compared to a centre of gravity in physical terms.
As, the measure of center that would
Mean = (Sum of value )/ Total values.
For the Allstars team, the mean height is:
=(73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15
= 67.3 inches
For the Super Stars team, the mean height is:
=(66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15
= 61.9 inches
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Answer:
IT IS D
Step-by-step explanation:
3. A local charity wants to purchase a classic 1975 Chevy Monte Carlo for use as a prize in a fundraiser.
They find the following eight prices in the paper
$18,000
$16,000
3090
$18,888
b. What is the range?
a. What is the best measure of central tendency to use to get a reasonable estimate for
the cost of the car? Explain.
its in the file below
According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.
How to calculate the range of the time that Dora's friends spent reading?The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.
To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.
Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)
So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.
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I need help with this page
Remember,
sin = op/hyp
cos = adj/hyp
tan = op/adj
For question 3 it would be B and C, because the adjacent side of angle x is 12, the hypotenuse is 37, and cos = adj/hyp. Also, the opposite side of angle z is 12, and the hypotenuse is 37, and sin = op/hyp. So both answers would be 12/37. You would do the same with question 4.
For 5, you would do the same thing. It would be D because you can only take the sin of angle 24, and x is a side. the opposite of 24 is x and the hypotenuse is 11, so sin 24 would be x/11. It is the same for problem 6.
You are bidding on a job to maintain the local soccer fields in a community park. there are 8 fields that need to have their grass mowed weekly. the fields are 80 yards by 120 yards. the riding lawn mower you have has a 2.5 feet cutting width and an average of 3.5 miles per hour speed with regular use.
To maintain the local soccer fields in a community park, you have 8 fields to mow weekly.
The fields are 80 yards by 120 yards, and you have a riding lawn mower with a 2.5 feet cutting width and an average speed of 3.5 miles per hour. To calculate the time it takes to mow each field, we need to convert the field dimensions from yards to feet. Since 1 yard is equal to 3 feet, the fields are 240 feet by 360 feet. The cutting width of the lawn mower is 2.5 feet, so it covers a strip of grass that is 2.5 feet wide with each pass. To determine the number of passes needed to mow the field, we divide the width of the field (360 feet) by the cutting width (2.5 feet), which gives us 144 passes. The average speed of the lawn mower is 3.5 miles per hour, which is equivalent to 3.5 * 5280 = 18,480 feet per hour. To calculate the time it takes to mow the field, we divide the length of the field (240 feet) by the speed of the lawn mower (18,480 feet per hour), which gives us approximately 0.013 hours or 0.78 minutes per pass. Therefore, to mow one field, it would take approximately 144 * 0.78 = 112.32 minutes or about 1 hour and 52 minutes. Since there are 8 fields, the total time required to mow all the fields would be approximately 8 * 112.32 = 898.56 minutes or about 14 hours and 59 minutes.
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The high temperature for the day was 13 degrees F. The difference between the high and low temperature was 16 degrees F. What was the low temperature?
Answer:
the answer is 29 degrees F i am a you tuber please subscribe to nikolys on you tube
Step-by-step explanation:
What is the world record for digits of pi memorized?.
The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.
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please help me with this problem i tried
Answer:
I think the answer is 1280
Answer:
i think it might be 147.32 but thats what i got sorry i am also only in 7th grade
Step-by-step explanation: