Average rate of change is 0
Interpretation: The crop yield did not change from year 5 to year 15
Solution:
The function that models the yield is:
[tex]f(x) = -x^2 + 20x + 75[/tex]
The average rate of change of f(x) from x = a to x = b is given by the formula:
[tex]\text{ average rate of change }=\frac{f(b)-f(a)}{b-a}[/tex]
Find and interpret the average rate of change from year 5 to year 15
[tex]f(5) = -(5)^2 + 20(5) + 75\\\\f(5) = -25 + 100 + 75\\\\f(5) = 150[/tex]
[tex]f(15) = - (15)^2 + 20(15) + 75\\\\f(15) = -225 + 300 + 75\\\\f(15) = 150[/tex]
Thus average rate of change:
[tex]\text {average rate of change}=\frac{f(15)-f(5)}{15-5}[/tex]
[tex]\text {average rate of change}=\frac{150-150}{10}=0[/tex]
Thus Average rate of change is 0
Interpretation: The crop yield did not change from year 5 to year 15.
Final answer:
The average rate of change in wheat yield from year 5 to year 15 is 0 pounds per acre per year, symbolizing that there was no change in the crop yield between these years.
Explanation:
To find the average rate of change of the wheat yield from year 5 to year 15, we will apply the function f(x) = −x² + 20x + 75 to these years and then calculate the rate of change. First, we'll find the yield for year 5 and year 15:
For year 5: f(5) = −(5)² + 20(5) + 75 = − 25 + 100 + 75 = 150For year 15: f(15) = −(15)² + 20(15) + 75 = − 225 + 300 + 75 = 150Next, we'll calculate the average rate of change using these yields:
Average rate of change = (f(15) - f(5)) / (15 - 5) = (150 - 150) / (10) = 0
Therefore, the crop yield did not change from year 5 to year 15. The function indicates that at both year 5 and year 15, the farmer's land yielded 150 pounds per acre, so the average rate of change in yield over this period is 0 pounds per acre per year.
Determine the function which corresponds to the given graph. (3 points)
a natural logarithmic function crossing the x axis at negative two and y axis at one.
The asymptote is x = -3.
Answer:
The center of the circle is c=50 and radius of the circle is [tex]r=\sqrt{3}[/tex]
Step-by-step explanation:
Given circle equation is
[tex]x^2-4x+y^2+14y=-50\hfill(1)[/tex]
Equation (1) can be written as [tex]x^2-4x+y^2+14y+50=0\hfill(2)[/tex]
we know that the equation of the circle is of the form
[tex]x^2+y^2+2gx+2fy+c=0\hfill(3)[/tex]
with centre (-g,-f) and radius=[tex]\sqrt{g^2+f^2-c}[/tex]
when, g,f and c are constants
Now comparing the (2) and (3) equations we get 2g=-4
[tex]g=\frac{-4}{2}[/tex]
[tex]g=-2[/tex]
[tex]2fy=14[/tex]
[tex]f=\frac{14}{2}[/tex]
[tex]f=7[/tex]
and [tex]c=50[/tex]
Now to find the centre and radius of the given circle equation, substituting the values of g,f,c in the formulae of centre and radius
centre=(-g,-f)
=(-(-2),-7)
centre=(2,7)
Radius=[tex]\sqrt{g^2+f^2-c}[/tex]
=[tex]\sqrt{(-2)^2+(7)^2-50}[/tex]
=[tex]\sqrt{4+49-50}[/tex]
=[tex]53-50[/tex]
Radius=[tex]\srqt{3}[/tex]
The center of the circle is c=50 and the radius of the circle equation [tex]r=\sqrt{3}[/tex]
Manuel needs to save more than $75 for a class trip. He already has $24 and
will save an equal amount each week for the next 6 weeks. Which inequality
can be used to determine how much money Manuel should save each week?
Answer:
$8.50 per wk
Step-by-step explanation:
$8.50x6=$51.00+$24.00=$75.00.
Answer:
Manuel must save at least $ 8.5 each week ( 6x ≥ 75 - 24)
Step-by-step explanation:
He has to save more than $75 - $24 = $51 for the next 6 weeks to have enough money for class trip
X: the amount must save each week
6x ≥ 51 ... divide 3 both sides
2x ≥ 17
x ≥ 17/2
x ≥ 8 1/2
HELP:What is the equation of a line that has a slope of −2and passes through the point (−1,−1)
Answer:
y = -2x - 3
Step-by-step explanation:
The line has a slope of -2
The line passes through point (-1, -1)
Lets take another point (x, y) on the line,
Slope = change in y ÷ change in x
i.e slope = [tex]\frac{y - -1}{x - -1}[/tex] = -2
[tex]\frac{y + 1}{x + 1}[/tex] = -2
y + 1 = -2x - 2
y = -2x - 2 - 1
y = -2x - 3 (this is the equation of the line).
Leilani practiced piano for 3/5 of an hour. Sarah practiced piano for 7/8 of an hour.
How much longer did Sarah practice than Leilani? Simplify
Answer:
The number of hours did Sarah practice more than Leilani is [tex]\dfrac{11}{40}[/tex] hours .
Step-by-step explanation:
Given as :
The time for which Leilani practiced piano = [tex]\dfrac{3}{5}[/tex] hours
The time for which Sarah practiced piano = [tex]\dfrac{7}{8}[/tex] hours
Let the number of hours did Sarah practice more than Leilani = T hours
Now, According to question
The number of hours did Sarah practice more than Leilani = [tex]\dfrac{7}{8}[/tex] hours - [tex]\dfrac{3}{5}[/tex] hours
Or, T = [tex]\dfrac{35-24}{40}[/tex] hours
Or, T = [tex]\dfrac{11}{40}[/tex] hours
So,The number of hours did Sarah practice more than Leilani = T = [tex]\dfrac{11}{40}[/tex] hours
Hence, The number of hours did Sarah practice more than Leilani is [tex]\dfrac{11}{40}[/tex] hours . Answer
Divide and simplify 6 divided by 2 2/3
To divide 6 by 2 2/3, convert 2 2/3 to the improper fraction 8/3, then multiply 6 by the reciprocal of 8/3 (which is 3/8) to get 18/8. Simplifying this by dividing both numerator and denominator by 2 gives the result 9/4 or 2 1/4.
To divide and simplify 6 divided by 2 2/3, you first need to convert the mixed number to an improper fraction. The mixed number 2 2/3 can be converted to an improper fraction by multiplying the whole number by the denominator of the fraction, then adding the numerator of the fraction to that product. This gives you:
2 x 3 + 2 = 6 + 2 = 8
So, 2 2/3 as an improper fraction is 8/3. Now, to divide the number 6 by 8/3, you will multiply 6 by the reciprocal of 8/3, which is 3/8.
6 x (3/8) = 18/8
To simplify 18/8, you divide the numerator and the denominator by their greatest common divisor, which is 2. Therefore, you get:
18 / 2 = 9 and 8 / 2 = 4
So, the simplified result of 6 divided by 2 2/3 is 9/4 or 2 1/4.
A cable repair person has 8.7 meters of wire. Suppose each meter of the wire weighs 2.8 ounces. Find the weight of the wire.
Weight of wire of 8.7 meters is 24.36 ounces
Solution:
Given that cable repair person has 8.7 meters of wire
Each meter of the wire weighs 2.8 ounces
To find: Weight of wire
From given information,
weight of 1 meter of wire = 2.8 ounces
Therefore weight of 8.7 meters of wire is found by multiplying weight of 1 meter of wire by 8.7
weight of 8.7 meter of wire = weight of 1 meter of wire x 8.7
weight of 8.7 meter of wire = 2.8 x 8.7 = 24.36
Therefore weight of wire of 8.7 meters is 24.36 ounces
The weight of the 8.7 meters of wire is 24.36 ounces.
To find the weight of the wire, we need to multiply the length of the wire by its weight per unit length. The student has 8.7 meters of wire, and each meter weighs 2.8 ounces.
Multiply the length of the wire in meters (8.7) by the weight per meter in ounces (2.8).
8.7 meters * 2.8 ounces/meter = 24.36 ounces.
Therefore, the total weight of the wire is 24.36 ounces.
water is running into a bathtub at a constant rate after 2 minutes the tub is filled with 2.5 gallons of water write two equations for this proportional relationship use w for the amount of water and t for time in each case what does the constant of proportionality tell you about the situation
Answer:
w = 1.25[tex]\times[/tex] t
The constant 1.25 denotes the rate of water flowing in the tub per minute.
Step-by-step explanation:
Water is running into a bathtub at a constant rate.
In 2 minutes , 2.5 gallons of water is filled in the tub. We are supposed to find the relation between the amount of water and the time taken and we also have to find the definition of the constant of proportionality.
Let w be the amount of water and t be the time taken in minutes.
The rate at which water is filled in the tub = [tex]\frac{2.5}{2}[/tex]
= 1.25 gallons/minute
The water filled , w = 1.25[tex]\times[/tex] t
The constant 1.25 denotes the rate of water flowing in the tub per minute.
Final answer:
The question asks for two equations representing the proportional relationship between water in a bathtub (w) and time (t), given a constant fill rate. We derived that water fills the tub at a rate of 1.25 gallons per minute, leading to two equations: w = 1.25t and t = w / 1.25, explaining both the fill rate and how to calculate time based on a certain water amount.
Explanation:
The question involves finding two equations for a proportional relationship between the amount of water (w, in gallons) in a bathtub and the time (t, in minutes) it takes for the water to fill up at a constant rate, given that 2.5 gallons of water fill the tub in 2 minutes. To build these equations, we will use the information provided to determine the constant of proportionality (k), which represents the rate at which the tub fills.
First, we find the constant of proportionality (k) by dividing the amount of water by the time:
k = w / t = 2.5 gallons / 2 minutes = 1.25 gallons per minute
This gives us two equations based on this scenario:
w = 1.25t (Equation 1)
t = w / 1.25 (Equation 2)
Equation 1 tells us the amount of water (w) in the bathtub after t minutes, showing that the bathtub fills at a rate of 1.25 gallons per minute. Equation 2 allows us to find the time (t) it takes to reach a certain amount of water (w) in the bathtub, by dividing the amount of water by the rate of 1.25 gallons per minute.
The constant of proportionality (1.25 gallons per minute) in both equations indicates the rate at which the tub fills with water. It tells us that for every minute that passes, an additional 1.25 gallons of water are added to the tub.
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!
Line m passes through point (2,-7) and (4,-9). Line m is parallet to which line?
A. Y= -x+2
B. Y= x-9
C. X=7
D. Y=-1
Answer:
y= -x+2
Step-by-step explanation:
given that line m, passes through (2,-7) and (4,-9)
(refer to attached)
slope of line m,
= [(-7) - (-9)] / (2- 4)
= (-7 +9) / (2- 4)
= (2) / (-2)
= -1
recall that the general form of a linear equation is
y = mx + b, where m is the gradient.
in this case, we found that m = -1, so look for the answer where the x-term has -1 as a coefficient, i.e the x-term is "-x"
By observation, we see that the only answer that has "-x" as part of the equation is A
Answer ASAP!!!!!! PLEASE HELP MEE!
Answer:
D
Step-by-step explanation:
Because B can be simplified to 3-4 ( which is the ratio needed)
therefor we know that Dis the answer
Answer:D.It is greater than the ratio of trumpets to clarinets.
First, you have to find the ratio flutes to violins. That is 9:12. Simplified, it is 3:4. Now, lets go down the list of options we have to pick
First option is A.It is the same ratio of violas to oboes. The ratio violas to oboes is 4:3. That is not the same as 3:4, so eliminate that option.
Second option is B.It is greater than the ratio of oboes to violas. The ratio oboes to violas is 3:4. This is the same as 3:4, so eliminate that option.
Third option is C.It is the same as the ratio of clarinets to trumpets. The ratio clarinets to trumpets is 6:2. That simplified is 3:1. This is not the same as 3:4. So lets eliminate that option. The only option left is option D, but how to check is down below.
Finally, the last option is D. It is greater than the ratio of trumpets to clarinets. The ratio trumpets to clarinets is 2:6. That simplified is 1:3. 3:4 is greater than 1:3, so D is the correct answer.
36% of a number is 63.Find 124% of the number
Answer:
217
Step-by-step explanation:
124%=x
36%=63
=>[tex]x=\dfrac{63\times 124}{36}=217[/tex]
Final answer:
To find 124% of the original number, we first determine that the number is 175 by dividing 63 by 0.36 (the equivalent of 36%). We then multiply 175 by 1.24 to arrive at 217, which is 124% of the original number.
Explanation:
To solve the student's question, we'll need to find the original number that 36% represents, and then calculate 124% of that number. If 36% of a number is 63, we would set up an equation to find 100% of that number (the whole number).
Let's call the unknown number 'x'. The equation would be 0.36x = 63. To solve for 'x', we would divide both sides of the equation by 0.36:
x = 63 ÷ 0.36
Once we've found the value for 'x', we then find 124% of that number by multiplying 'x' by 1.24 (since percent means 'per hundred' and 124% is equivalent to 1.24 when expressed as a decimal).
Now, calculating the values:
x = 63 ÷ 0.36 = 175
To find 124% of 175, we do the following calculation:
1.24 × 175 = 217
Therefore, 124% of the number is 217.
Rewrite this inequality in slope-intercept form:
3x-6y>12
Answer:
y < (1/2)x + 2
Step-by-step explanation:
Recall that slope intercept form looks like
y = mx + b
we simply have to rearrange the given equation until it looks like the above
3x-6y>12 (subtract 3x from both sides and rearrange)
-6y > -3x + 12 (divide both sides by 6)
-y > (-3/6)x + (12/6)
-y > -(1/2)x + 2 (multiply both sides by -1, remember to flip the inequality)
y < (1/2)x + 2
The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased?
Answer:
Vouch^ D on Edge
Step-by-step explanation:
If planet Y is twice the mean distance from the sun as planet X, the orbital period is increased by the factor 2^3/2.
State Kepler's lawThe Kepler's third law underscore the relationship between the orbital period T and the mean distance from the sun, A, in astronomical units, AU.
Mathematically, we can write; T^2 =A^3
Where;
T = orbital period
A = mean distance from the sun
If planet Y is twice the mean distance from the sun as planet X, the orbital period is increased by the factor 2^3/2.
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Which segment is a reflection of segment AB over the line x = 1?
Answer:
I think I know this one. H is the answer. H is a reflection of A over the x-axis.
Answer:
The answer is EF
Step-by-step explanation:
Im smart
Find the slope and y-intercept of the line that is perpendicular to y=-x-3 and passes through the point (3,-2)
*40 points*
The given line has a slope of -1.
The slope of a perpendicular line is the negative reciprocal.
The slope of the new line would be positive 1.
Now using the point slope form, use the given pint to find the equation:
y -y1 = m(x -x1)
Replace x1 and y1 with the given point:
y - (-2) = 1(x -3)
Simplify:
y +2 = x -3
Subtract 2 from both sides:
y = x-5
Answer:
y = x-5
Step-by-step explanation:
It took 48 minutes to drive downtown. An app estimated it would be less than that. If the error was 20%, what was the app’s estimate?
Answer:
The estimated taken to drive downtown using App is 38.4 minutes
Step-by-step explanation:
Given as :
The initial time taken to drive downtown = i = 48 minutes
The percentage error of time = r = 20%
Let The estimated time using app = t min
Let the time = 1 min
Now, according to question
The estimated time using app = The initial time taken to drive downtown × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, t minutes = i minutes × [tex](1-\dfrac{\textrm r}{100})^{\textrm 1}[/tex]
Or, t = 48 minutes × [tex](1-\dfrac{\textrm 20}{100})^{\textrm 1}[/tex]
Or, t = 48 minutes × [tex]\dfrac{100-20}{100}[/tex]
Or, t = 48 minutes × [tex]\dfrac{80}{100}[/tex]
∴ t = [tex]\dfrac{48\times 80}{100}[/tex] minutes
I.e t = 38.4 minutes
Or, The estimated time using app = t = 38.4 min
Hence, The estimated taken to drive downtown using App is 38.4 minutes Answer
Answer:
38.3
Step-by-step explanation:
38.3
How did President Truman's Executive Order 9981 show progress toward racial equality?
The order ended segregation in the military.
The order set up integrated military housing for soldiers.
The order dismantled the internment camps for Japanese Americans.
The order gave medals of honor to injured servicemen of different backgrounds.
Answer:
The answer is "The order ended segregation in the military."
Step-by-step explanation:
President Harry S. Truman is the 33rd president of the United States of America. He assumed the President's role after the death of Franklin D. Roosevelt (the 32nd president of the USA). Under his leadership, he was able to abolish the issues concerning the discrimination according to race or religion in the USA's military force. This was backed by the "Executive Order 9981," which he issued in 1948.
The "Executive Order 9981" ended the segregation in the military. Before it was issued, the Black Americans were trained differently from the White Americans. The White Americans were given more priority than the Black ones. This means that the Black Americans have to wait and train longer before they became qualified. Later, it was found out that there was actually no sense in segregating both Americans, since they both performed well in the wartime.
Thus, this explains the answer.
Answer:
its A
Step-by-step explanation:
What is 39 1/2% of 204 as a decimal
Answer:
Step-by-step explanation:
a deck in the shape of a parallelogram has an area of 49 1/2 square feet and a base of 8 1/4 feet .Find the height of the deck
Answer:
6 ft
Step-by-step explanation:
Use the formula for area of a parallelogram A = bh
b is for base and h is for height. A is for area.
Substitute b for 8 1/4 ft² and A for 49 1/2 ft². Isolate "h" to find the height of the deck.
A = bh
49 1/2 ft² = (8 1/4 ft²)h Divide both sides by 8 1/4 ft² to isolate h
(49 1/2 ft²) ÷ (8 1/4 ft²) = (8 1/4 ft²)h ÷ (8 1/4 ft²)
(49 1/2 ft²) ÷ (8 1/4 ft²) = h
h = 6ft
Therefore the height of the deck is 6 feet.
The function C(x) = 25.50x + 50 models the total cost for a cleaning company to clean a house, where x is the number of hours it takes to clean the house. What is the average rate of change of the function between 3 hours and 9 hours? A. $17.00 per hour B. $25.50 per hour C. $31.05 per hour D. $42.15 per hour
Answer:
$25.5 per hour.
Step-by-step explanation:
The function C(x) = 25.50x + 50 ........ (1) models the total cost for a cleaning company to clean a house, where x is the number of hours it takes to clean the house.
Now, from the linear equation it is clear that the change in cost of cleaning from 3 hours and 9 hours are respectively {From equation (1)}
C(3) = 25.5 × 3 + 50 = $126.5 and
C(9) = 25.5 × 9 + 50 = $279.5
Therefore, the average rate of change of the function between 3 hours and 9 hours will be = [tex]\frac{\textrm {Change in price of cleaning}}{\textrm {Change in hours}}[/tex]
= [tex]\frac{279.5 - 126.5}{9 - 3}[/tex]
= $25.5 per hour. (Answer)
Find the slope of the line
Answer:
C) -1/4
Step-by-step explanation:
slope=rise/run
The slope of the line between the points (-4, -3) and (4, 3) is 3/4. Therefore, the correct answer is C.
The slope of a line is the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line. A simple formula to find the slope is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line.
In this case, we can use the points (-4, -3) and (4, 3) that are given on the graph. Plugging them into the formula, we get:
m = (3 - (-3)) / (4 - (-4))
Simplifying, we get:
m = 6 / 8
Reducing to the lowest terms, we get:
m = 3 / 4
Therefore, the slope of the line is 3/4. The correct answer is C).
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Help??
How would I solve this to get my answer? Help please
Answer:
(3, 6)
Step-by-step explanation:
D₃ means a dilation of 3, and R₁₈₀ means a rotation of 180°.
D₃ (-1, -2) = 3 (-1, -2) = (-3, -6)
R₁₈₀ (-3, -6) = (3, 6)
can someone help me with this exercise?
Answer:
View image
Step-by-step explanation:
You treat inequality questions just like normal equation with an equal sign. You only have to worry about the inequality when you do the shading part.
Your first goal is to solve for y, which I did at the top.
And remember that when you divide/multiply by a negative number you have to flip the inequality sign.
So the first equation is already in term of y. (y < 2x + 4)
So you only have to solve for y for -3x - 2y ≥ 6.
I solved that and got y ≤ -3/2x - 3.
Now you have 2 equations. y < 2x + 4 and y ≤ -3/2x - 3
First you gotta treat it like a normal equation and graph them.
So i graphed y = 2x + 4 and y = -3/2x - 3. I assume you already know how do do that.
btw. < and > have dotted lines, while ≤ and ≥ have solid lines.
Now for the shading, you gotta look at the inequality sign.
y < 2x + 4 has a less than sign, so you have to shade everything underneath the line you graphed.
y ≤ -3/2x - 3 is also less than, so you have to shade everything underneath that line as well.
So in the future, you you get a > or ≥ then you have to shade above the graph.
Which is bigger 3/10 or 3/4
Answer:
3/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find LCM for 10, 4. LCM = 20
3/10 = 3*2/10*2 = 6/20
3/4 = 3*5/4*5 = 15/20
6/20 < 15/20
3/4 is greater
OR
3/10 = 0.3
3/4 = 0.75
3/4 is greater
How many jars of nuts worth $4 per jar must be mixed with some nuts worth $6 per jar to get 50 jars of nuts worth $4.80 per jar
Answer:
30 jars of nuts worth $4 per jar must be mixed with 20 jars of nuts worth $6 per jar
Step-by-step explanation:
Let
x ----> the number of jars of nuts worth $4
y ----> the number of jars of nuts worth $6
we know that
[tex]x+y=50[/tex] ----> equation A
[tex]4x+6y=4.80(50)[/tex]
[tex]4x+6y=240[/tex] ----> equation B
Solve the system by graphing
The solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is the point (30,20)
see the attached figure
therefore
30 jars of nuts worth $4 per jar must be mixed with 20 jars of nuts worth $6 per jar
The student has to mix 20 jars of $4 nuts with 30 jars of $6 nuts to end up with 50 jars of nuts each worth $4.80.
Explanation:This question falls under a mathematical concept known as linear equations. Let's denote the number of $4 jars as X and the number of $6 jars as Y. According to the question, X + Y = 50 because the total number of jars is 50. We can also write another equation, which is 4X + 6Y = 50 * 4.8 ($4.80 is the average price of a jar, and there are 50 jars). Solving this system of linear equations gives us X = 20 and Y = 30. So, the student has to mix 20 jars of nuts worth $4 per jar with 30 jars of nuts worth $6 per jar to get 50 jars of nuts worth $4.80 per jar.
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14 k +11
N+7-3
C-2.5 /2.5
Answer:
THX
Step-by-step explanation:
now i know your student id number yes
For Christmas, each member of a class
sends the other classmates a card. If
992 cards are exchanged, find the
number of pupils in the class.
Answer:
There are 32 pupils in the class
Step-by-step explanation:
Let's say there are N pupils in the class. Then each pupil must send N-1 cards - because it would make no sense to send one to themselves! So each of the N pupils send N-1 cards, which becomes 992 cards in total. In equation form, this is
[tex]N(N-1)=992\\N^2-N-992=0[/tex]
This is a second degree polynomial, which has the solutions
[tex]N=\frac{-b\pm \sqrt{b^2-4\cdot a \cdot c}}{2a}[/tex]
where [tex]a=1, b=-1, \text{and }c=-992[/tex]
If we insert these numbers in the equation,
[tex]N=\frac{-(-1)\pm \sqrt{1^2-4*1*(-992)}}{2*1}\\ = \frac{1\pm \sqrt{1+4*992}}{2}\\= \frac{1 \pm 63}{2}[/tex]
If we choose the solution with the minus sign, we get
N=-31
but this makes no sense! There can't be a negative number of pupils in the class!
So we choose the solution with the plus sign,
[tex]N=\frac{1+63}{2}\\ =\frac{64}{2}\\ =32[/tex]
So there are 32 pupils in the class
Answer:
number of pupils in the class = 32
Step-by-step explanation:
Let n be the number of students. So n-1 cards will be sent by each student.
n(n-1) =192
n² - n =192
n² - n - 192 = 0
n² - 32n + 31n - (31*32) = 0
n(n - 32) + 31 (n-32) = 0
(n-32)(n+31) = 0
n - 32 = 0 or n + 31 = 0
n = 32 or n = -31 is not possible because no. of students cannot be negative
n= 32
What is the value of e^ln7 x1
7e
7x
7
Answer:
Both answer shown
IF it is
[tex]e^{ln 7x}= 7x[/tex]
OR
IF it is
[tex]e^{ln 7}\times 1}=7 [/tex]
Step-by-step explanation:
Given: Little confusion is in the question
e^ln7 x1
i.e [tex]e^{ln 7x}[/tex]
To Find:
[tex]e^{ln 7x}= ?[/tex]
Solution:
We know Logarithmic identity as
1. [tex]\ln e = 1[/tex]
2. [tex]\ln e^{x} = x[/tex]
Similarly,
3. [tex]e^{\ln x}=x[/tex]
IF it is
[tex]e^{ln 7x}= 7x[/tex]
OR
IF it is
[tex]e^{ln 7}\times 1}=7\times 1=7 [/tex]
Answer:
7x
Step-by-step explanation:
What is nine times what equals 513
Answer:
57
Step-by-step explanation:
How I did this was 513 divided by 9 so the equation that I did was 513/9.
Answer:
57
Step-by-step explanation:
you just need to divide=
513 divided by 9 = 57
what would be the triangle congruency theorem for the triangles?
There are three congruence theorems for triangles and they are.
SAS theorem ( side, angle ,side theorem)ASA theorem ( angle, side, angle theorem)SSS theorem ( side, side, side theorem)the assumptions made by the following theories are given below.
Step-by-step explanation:
SAS theoremThis theorem states that triangles are congruent if any pair of corresponding sides and their angle are congruent.
2. ASA theorem
This theorem states that the triangles are congruent if any two angles and their sides are equal.
3. SSS theorem
This is the easiest among all three postulates. THIS theorem states that if all the sides of a triangle are congruent to the sides of the other triangle then the two triangles are congruent
Each small cube is 1 ft³. The length of the large cube is 15 ft. What is the volume of the large cube?
A.1,350 ft³
B.225 ft³
C.3,375 ft³
D.45 ft³