Answer:
13 • -2 = -26
Step-by-step explanation:
-13 + -13= -26
\large \frac{2\cdot3^{-4}}{5^{-2}}
Adam wrote: \large \frac{2\cdot5^2}{3^4}
Nick wrote: \large \frac{5^2}{2\cdot3^4}
Shane wrote: \large \frac{2\cdot3^4}{5^{^2}}
Who is correct and why?
a
Adam is correct because the negative exponent moves the base to the other side of the fraction bar and makes the exponent positive.
b
None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.
c
Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
d
Shane is correct because all that needs to be done is to make the negative exponents positive.
Answer:the answer is A:nick is correct
Step-by-step explanation:
Based on the fraction given of [tex]\large \frac{2\cdot3^{-4}}{5^{-2}}[/tex], the correct person is c. Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
Why is Nick correct?When a number is being taken to the negative power, then it can be rewritten as a fraction where the number becomes the denominator and the numerator becomes 1.
The number, 2.3⁻⁴ can be written as:
= 1/2.3⁴
The number 5⁻² can be written as:
= 1 / 5²
When these numbers are divided we get:
= 1/2.3⁴ ÷ 1 / 5²
= 1/2.3⁴ x 5²/1
= 5² / 2.3⁴
= [tex]\large \frac{5^2}{2\cdot3^4}[/tex]
In conclusion, Nick was correct.
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there are 2.54 centimeters in 1 inch. there are 100 centimeters in 1 meter.questionto the nearest meter, how many meters are in 279 inches? enter the answer in the box.
There are 7 meters in 279 inches.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.The number of inches is given to be 279.Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.First of all, we need to convert inches to centimeters.1 inch equals 2.54 centimeters.279 inches equals 2.54*279 centimeters.279 inches equals 708.66 centimeters.Now, we need to convert these centimeters into meters.Meters in 100 centimeters = 1Meters in 1 centimeters = 1/100Meters in 708.66 centimeters = (1/100)*708.66Meters in 708.66 centimeters = 7.0866Thus, there are approximately 7 meters in 279 inches.To learn more about unit conversion, visit :
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a simple dart target has two concentric circles. the larger circle has a radius of 4. the smaller circle has a radius of 2. the scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring. how many more points should a player receive for landing a dart in the inner circle, as opposed to the outer ring? the player should receive 2 π times as many points. the player should receive 3 times as many points. the player should receive 9 times as many points. the player should receive 4 π times as many points.
The points awarded for striking the inner circle ought to be tripled.
What is the inner circle?
The face region of the circle determines the likelihood of landing an outrage there.The formula for calculating a circle's area is: inner circle for the exterior circle, apply the formula to subtract the inner circle's value to determine the remaining area.The formula for the area of a(one) circle is an inner circle for the external circle, use the formula also abate the value of the inner circle, to find the remaining area, which means that the area of the external circle is 3( three) times larger, making it 3( three) times more likely to hit the external circle.
Thus, The points awarded for striking the inner circle ought to be tripled.
[tex]\pi r^2 A =\pi 2^2 = 12.566 A\\[/tex]
so,
[tex]\pi 4^2 - 12.566 = 3(three)[/tex]
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If it costs $9.50 to buy a
movie ticket, what is the
most number of tickets
someone can buy for
$40.00? How much money
is left over?
PLEASE SHOW WORK
The number of tickets that can be bought with $40 is 4 tickets
How to calculate the number of tickets ?It costs $9.50 to buy 1 tickets
The number of tickets that will be bought with $40 can be calculated as follows
= 40/9.50
= 4.2
Hence 4 tickets will be bought with $40
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Solve 6^x + 2 = 10 for x using the change of base formula log, y = log y log b
The answer for "x" in 6^(x+2) = 10 is -0.715
The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given integer x is the exponent to which another set number, the base b, must be increased in order to create x.Firstly, we use the change of base formula. The base must be 6 because the "x" variable is a power of it.6^(x+2) = 10Taking a log with base 6 on both the sidesThen, we can use the property logarithm power rule:(x + 2) log6 = log10(x + 2)(1) = (log10)/(log6)x + 2 = 1/log6x + 2 = 1.285x = 1.285 - 2x = -0.715To learn more about logarithm, visit :
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The planet XYZ travels about the star ABC in an orbit that
is almost circular. Assume that the orbit is a circle with
radius 94,000,000 mi. Assume there are 24 hours in one
day on planet XYZ.
(a) Assume that XYZ planet year is 346 days, and find the
angle formed by XYZ's movement in one day.
(b) Give the angular speed in radians per hour.
(c) Find the linear speed of XYZ in miles per hour.
please help me!!!
Answer:
v = 2.33 10⁷ mi / h
Explanation:
For this exercise we must observe that the velocity module is constant, so we can use the kinematic relation v = d / tThe distance traveled in each orbit is the length of the circle L = 2π rThe time it takes in orbit is called period (T)Let's reduce the quantities r = 8.9 10⁷ mi t = 24 h (3600s / 1 h) = 86400 sWe replace v = 2π r / TLet's calculate v = 2π 8.9 10⁷/86400 v = 6.47 10³ mi / s v = 6.47 10³ mi / s (3600 s / 1h) v = 2.33 10⁷ mi / h
The town of butler, nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores ranged from 0 to 100. Was a raw score of 82 necessarily a passing score? explain.
Based on the raw score of 82, and the 70th percentile passing, we can infer that as regards 82 being a passing score, No, it might have a percentile rank less than 70.
Is 82 a passing score?The passing score is one that is in the 70th percentile or higher. This means that the raw score that a student gets needs to be considered higher than 70% of the rest of the scores.
There is a chance that the exam was so easy that most people got good scores. If that were the case, then a score of 82 can be below the 70th percentile which means that the candidate would not pass.
Options for this question are:
Yes, since a score of 82 is higher than 70.No, it might have a percentile rank less than 70.No, it might have a percentile rank greater than 70.Yes, it might have a percentile rank less than 70.Find out more on percentile rank at https://brainly.com/question/24245405
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What is the perimeter of quadrilateral HIJK, with vertices H( – 4,6), I(4,9), J(2,3), and K(7, – 4).
The perimeter of the quadrilateral is approximately 50.47 units
A quadrilateral is polygon which has 4 sides. The perimeter of a quadrilateral is the sum of the side - lengths of all sides of the quadrilateral .the side lengths are calculated by using the distance formula between two points on the cartesian plane which is given by [tex]{\displaystyle d={\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}}.}[/tex]Given the vertices of the quadrilateral: H(– 4,6), I(4,9), J(2,3), K(7, – 4).
Let us calculate the distances of HI , IJ , JK and KH
[tex]{\displaystyle HI={\sqrt {(4-(-4))^{2}+(9-(6))^{2}}}.}[/tex]
or, HI = 17 units
[tex]{\displaystyle IJ={\sqrt {(2-(4))^{2}+(3-(9))^{2}}}.}[/tex]
or, IJ = 10
[tex]{\displaystyle JK={\sqrt {(7-(2))^{2}+(-4-(3))^{2}}}.}[/tex]
or, JK = √74 = 8.602... ≈ 8.60
[tex]{\displaystyle KH={\sqrt {(7-(-4))^{2}+(-4-(6))^{2}}}.}[/tex]
or, KH = √221 = 14.866... ≈ 14.87
Now perimeter = HI + IJ + JK + KH
or, perimeter = 8.60 + 14.87 + 10 + 17 = 50.47 units.
Therefore the perimeter of the quadrilateral is 50.47 units.
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The record high temperature in Green Bay, Wisconsin is 104 degrees, the record low
temperature is -36 degrees.
What is the difference between the record high and record low temperatures?
Consider this system of inequalities.
x + y ≤ –3
y < StartFraction x Over 2 EndFraction
Which graph shows the solution for this system?
The line x + y ≤ –3 will be solid and shaded below the graph and the line y < x/2 will be dashed and shaded below the graph.
Graphing linear inequalities.Inequalities is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
When graphing the inequalities x + y ≤ –3, the line will intersects the y-axis at the coordinate point (0, -3) and the line will be solid and shaded below the graph.
When graphing the inequalities y < x/2, the line will intersects the y-axis at the coordinate point (0, 0) and the line will be dashed and shaded below the graph.
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HELP EMERGENCY PLSI’ll make you brainlist
Question is …What is the constant proportionality?Write your answer as a whole number or decimal…
Answer:
y=5x
Step-by-step explanation:
He has 10 carrots every 2 square feet
We can simplify it to 5 carrots every 1 square foot and if we put it into an equation with the variables, then we get:
y = 5x
Find the distance between points A and B. A = (3,-7) B = (3,1)
The distance between points A and B is 8 units.
We have been given two points A and B.
The coordinates of the points are A = (3,-7) B = (3,1)
We need to find the distance between points A and B.
Let d be the distance between points A and B.
Using distance formula,
d = √[(3 - 3)² + (1 - (-7))²]
d = √[0² + 8²]
d = √8²
d = 8 units
Therefore, the distance between points A and B is 8 units.
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Please help me solve this
Answer:
25. 0 < x < 22.9
26. 0 < x ≤ 3.3
Step-by-step explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
Question 25
[tex]\begin{aligned}\sf Perimeter & < 51.3\\\implies 14.2+14.2+x & < 51.3\\28.4+x & < 51.3\\28.4+x -28.4& < 51.3-28.4\\x & < 22.9\end{aligned}[/tex]
[tex]\textsf{As length is positive: $0 < x < 22.9$}[/tex]
Question 26
[tex]\begin{aligned}\sf Perimeter & \leq 18.7\\\implies 6.4+4.9+4.1+x& \leq 18.7\\15.4+x& \leq 18.7\\15.4+x-15.4& \leq 18.7-15.4\\x& \leq 3.3\\\end{aligned}[/tex]
[tex]\textsf{As length is positive: $0 < x\leq 3.3$}[/tex]
PLEASEEE I NEED ASAP
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answer:
(x – 4)² + y² = 36
(x + 6)² + y² = 144
Step-by-step explanation:
All other questions are parabolas!
3)
1 1/3
is fractions between which set of numbers?
A) 1.3 and 1.4
B) 1.2 and 1.3
□ C) 1.1 and 1.2
□ D) 1.4 and 1.5
None of the above, since the improper fraction 4/3 is identical to the mixed number 1 1/3.
There are various types of fractions, including proper and improper fractions as well as mixed numbers. Mixed numbers: Sometimes converting a mixed number into an incorrect fraction is advantageous or required. If you answer equations that contain both mixed numbers and fractions, you must take this step.
Divide the full integer by the denominator of the fraction (3). (1). 3 x 1 = 3. The product you obtained in the previous step (3) after adding the fraction's numerator (1) is equal to four. 1 + 3 = 4.This turns becomes the improper fraction's numerator. As with the proportion in the mixed number, the denominator remains constant.
Hence, the set of numbers 1 1/3 fraction is 4/3.
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Evaluate the expression when h = 5.
2h+h-2 (3) =
Answer:
Step-by-step explanation:
For every "h" plug in "5", then follow the order of operations
2h+h-2(3)
2(5)+5-2(3)
10+5-6
15-6
=9
The answer is 9
on monday ramon bought 5 zip disks. two days later the price of the discs were decreased by 1.50 per disk. leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. what was the original price of a disk
The original price of a zip disk is; $1.4
How to Solve Algebra Word Problems?Let cost of zip sticks bought by Ramon be x. Thus;
Cost that Ramon paid = 5x
Now, we are told that 2 days later the price increased by $1.5 per disc. Thus, new cost = x + 1.5
Leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. Thus, equation here is;
10(x + 1.5) = 5x + 22
Expand the bracket to get;
10x + 15 = 5x + 22
10x - 5x = 22 - 15
5x = 7
x = 7/5
x = $1.4
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Which contributions did Galileo make to the model of the solar system? Select two options.
0 A mathamatical model for the orbits of the planet.
0 scientifically accurate data on planetary orbits
0 data that showed that planets reflected sunlight simular to earths moon
0 the idea that stars are suns that do not move
0 observations of the moons of jupitar rotating rotating around the gas giant.
WHOEVER ANSWERS GETS 1,000 YEARS OF GOOD LUCK. IF YOU CAN'T TELL, IM DESPERATE
Answer: It should be 3 and 5
Step-by-step explanation: I hope this helps <33
Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 -1 2 14 5 29 8 44
The equation of the linear function represented by the table below in slope-intercept form is y = 5x + 4
Linear equationsThe equation of a line in point-slope form is expressed as y = mx + b
where
m is the slope
b is the intercept
Using the coordinate points (-1,-1) and (2, 14)
Slope = 14+1/2+1
slope = 15/3
Slope = 5
For the intercept;
14 = 5(2) + b
14 = 10 + b
b = 4
The y-intercept is at the point (0,4)
Determine the equation
y = mx + b
y = 5x + 4
Hence the equation of the linear function represented by the table below in slope-intercept form is y = 5x + 4
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I need help and i WILL OFFER 100 POINTS and make you a BRAINLIEST or try
Answer:
782.5
Step-by-step explanation:
First off, we have to somewhat follow the order of PEMDAS.
1) Simplify the exponents
[tex]\frac{(7.3 * 1000000) + (2.4 * 10000000)}{(4 * 10000)}[/tex]
2) Multiply what's in the parenthesis
[tex]\frac{7,300,000 + 24,000,000}{40,000}[/tex]
3) Now we have to add what's on the top bracket
[tex]\frac{31,300,000}{40,000}[/tex]
4) After all the simplifying is done, we have to divide
31,300,000 ÷ 40,000 = 782.5
I hope this helped you :)
Step-by-step explanation:
you can ask questions for clarification
the given equation is either linear or equivalent to a linear equation. solve the equation. (if there is no solution, enter no solution. if all real numbers are solutions, enter reals.)
The given equation has one solution which is x = 6 (which is a REAL number).
What is a solution of linear equation?Linear Equation Solutions are the values of a variables in linear equations that give all possible solutions. Linear equations represent real-world problems by involving unknown quantities with in form with one or more variables.
Some key concepts regarding the solution of linear equation are-
Linear equation solutions are the points where the lines or planes indicating the linear equations intersect or meet. A solution set of a linear equation system is the collection of all possible solutions' values for the variables. While solving linear equations, for example, one can depict the solution of such a system of simultaneous linear equations by having drawn two linear graphs and locating their intersection point.Now, for the given question;
The linear equation is -
4x + 9 = 33
Solving this;
4x = 33 - 9
4x = 24
x = 24/4
x = 6
Therefore, the solution of the given linear equation is (x=6), where 6 is the real number.
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The complete question is-
The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
4x + 9 = 33
Need help with this I don’t understand what to do and how to do it helppppp
Answer: In the first graph, you plug in the numbers, so the rule would be "+9" and the term would be 9 for the first one, the second term is 18 and the rule stays the same. In the second one, the rule is that they each go up by (+7)
I hope that helps :)
4–3n≥10
someone want 50 points?
Answer:
n <(_) -2
Step-by-step explanation:
We can start by doing this linearly.
First subtract 4 on both sides
-3n >(_) 6
Then divide both sides by -3. You have to switch the sign because you are dividing by a negative number.
n <(_) 6
which expression is equivalent to 4(23)? 4(20 3) 4 left parentheses 20 plus 3 right parenthesis 4(2 13) 4 left parentheses 2 plus 13 wright parentheses 4(20 30) 4 left parentheses 20 plus 30 right parenthses 4(2 3)
4 • 23 = 92 so the correct answer is a 4(20+3).
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
For example, x + y is an expression, where x and y are terms having an addition operator in between.
Expressions can be simplified to form an answer. For example, 3+6-2 is an expression that can be simplified to 7. There are two different ways to simplify arithmetic expressions and algebraic expressions. We use the bracket open division multiplication addition subtraction rule which means the operations are performed in the given manner to simplify them.
For example, 2x+5x results in 7x, whereas 7ab-b is an expression that has two unlike terms, which cannot be added.
Checking for all the options:
option a) 4 (20+3)=4 * 23 = 92
option b) 4 (2 + 13) = 4 * 15 =60
option c) 4 (20 + 30) = 4 * 50 =200
option d) 4 (2 + 3) = 4 * 5 = 20
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which ratio has the unit rate of 4
[tex]2\frac{1}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{5}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{ ~~ \frac{5}{2} ~~ }{\frac{5}{8}}\implies \cfrac{5}{2}\cdot \cfrac{8}{5}\implies 4 ~~ \checkmark \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}~~ : ~~1\implies \cfrac{ ~~ \frac{1}{8}~~ }{1}\implies \cfrac{1}{8} ~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]4~~ : ~~1\frac{1}{4}\implies 4~~ : ~~\frac{5}{4}\implies \cfrac{4}{ ~~ \frac{5}{4} ~~ }\implies \cfrac{4}{1}\cdot \cfrac{4}{5}\implies \cfrac{16}{5}~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{8}~~ : ~~3\frac{1}{2}\implies \cfrac{7}{8}~~ : ~~\cfrac{7}{2}\implies \cfrac{ ~~ \frac{7}{8}~~ }{\frac{7}{2}}\implies \cfrac{7}{8}\cdot \cfrac{2}{7}\implies \cfrac{1}{4}~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]4\frac{1}{3}~~ : ~~3\implies \cfrac{13}{3}~~ : ~~3\implies \cfrac{ ~~ \frac{13}{3}~~ }{3}\implies \cfrac{13}{3}\cdot \cfrac{1}{3}\implies \cfrac{13}{9} ~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ 2~~ : ~~\cfrac{1}{2}\implies \cfrac{2}{ ~~ \frac{1}{2} ~~ }\implies \cfrac{2}{1}\cdot \cfrac{2}{1}\implies 4 ~~ \checkmark[/tex]
Multiply the total (36.45) by 0.07 to find the tax. Then find the total, including tax.
Answer:
39.0015
Step-by-step explanation:
36.45 x 0.07 = 2.5515
36.45 + 2.5515 = 39.0015
Examine the following graph of y=1/4x+2.
If the point (−4,b) is on this line, what is the value of b?
Enter your answer as the correct value, like this: 42
Answer:
b = 1
Step-by-step explanation:
they are asking what is y when x is -4. We can look on the graph and see that when x = -4, when is 1. It is the point (-4,1).
We can also see it algebraically. We can replace x with -4 and solve for y
y = 1/4 x + 2
y = 1/4((-4) + 2
y = -1 + 2
y = 1
A person covers a distance of 1500 meter in 3 minutes.Calculate the speed of a person
Answer:
The person runs 30km/h or 30000m/h
Step-by-step explanation:
First let's find speed per minute
➟ 1500/3
➟ 500
Now let's calculate speed per hour
1 hour = 60 minutes
➟ 500 × 60
➟ 30,000 meters
If you would like the meters to be in miles
then Formula divide the meter value by 1000
➟ 30000/1000
➟30
∴ The person runs 30km/h or 30000m/h
The speed of the person is 300 km/hour.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Distance covered in 3 minutes = 1500 meters.
1 hour = 60 minutes
3 minutes = 15000 meter
Multiply 20 on both sides.
60 minutes = 300,000 meter
1 km = 1000 meter
Multiply 300 on both sides.
300 km = 300,000 meter
Now,
60 minutes = 300 km
Speed = 300 km/hour
Thus,
300km/hour is the speed of the person.
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Caroline is the youngest of four siblings whose ages are consecutive odd integers. If
the sum of their ages is 96, find Caroline's age.
Caroline's age is 21 years which is an odd integer.
Integers are a subset of real numbers.
Integers are rational numbers except decimals and fractions.There are 3 types of integers positive , negative and Zero.Positive integers are 3, 6, 789 ...Negative integers are -87, -345, -234 ...Zero integers is 0It is given that Caroline is the youngest of 4 siblings and all of their ages are odd consecutive integers.
Let us consider the age of Caroline's age to be x years(x is an odd integer).
She is the youngest so the sibling's age who is just older than Caroline is given by x+2 which is also another odd integer.
Ages of the other two siblings will be x + 4 , x + 6 .
Now sum of their ages is 96.
Therefore: x + (x+2) + (x+4) + (x+6) =96
or, 4x + 12 = 96
or, 4x = 84
or, x = 21 (odd integer)
Carline's age is 21 years.
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