Answers
Following PEMDAS, we first focus on the parenthesis. So we simplify 9-3 to get 6
So we go from
18*4^2+(9-3)^2
to
18*4^2+6^2
The next step is applying exponents. In this case, squaring the terms, so we go from
18*4^2+6^2
to
18*16+36
Next is multiplying
18*16+36
turns into
288+36
Finally, add up 288 and 36 to get 288+36 = 324
That confirms that Lila is correct
----------------------
The error that Rob made is that he computed 18*4^2+9^2-3^2 but it is NOT correct. Saying (x-y)^2 = x^2-y^2 isn't a true equation for all x and y. Again you have to simplify what is in the parenthesis first, and then you can square it. Or you must use the FOIL rule to expand out (9-3)^2
Related Questions
Cody saves all his nickles. Today he is getting them out of his piggy bank and wrapping them to take to the bank. He finds he has 360 nickels. It takes 40 Nicole's to fill each paper wrapper and make a roll. How many wrappers does he need?
Part A
Write an equation using n for the unknown number. Find the number of wrappers needed.
___ x ____ = _____
Answers
Which means he needs 9 wrappers
A pancake recipe calls for 4 cups of flour and 3 cups milk.does the recipe calling for 2 cups flour and 1.5 cup milk use the same ratio of flour to milk
Answers
Plot the x- and y-intercepts to graph the equation. y=1/3x−1.
Answers
x-intercept= (3,0)
y-intercept= (0,-1)
Answer:
The graph of given equation is shown below.
x-intercept is 3 and y-intercept is -1.
Step-by-step explanation:
The given function is
[tex]f(x)=\frac{1}{3}x-1[/tex]
We need to draw the graph of given equation.
At x=0,
[tex]f(0)=\frac{1}{3}(0)-1=-1[/tex]
So, y-intercept is -1.
Equate f(x)=0 to find x-intercept.
[tex]\frac{1}{3}x-1=0[/tex]
[tex]\frac{1}{3}x=1[/tex]
Multiply both sides by 3.
[tex]x=3[/tex]
So, x-intercept of the line is 3.
Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.
Jennifer can paddle a certain distance with the current in 2.5 hr. To cover the same distance against the current, she takes 5 hr. How many times faster is her rate of paddling in still water than the speed of the current?
Answers
The rate of paddling in still water is 3 times than the speed of the current.
What is Speed?
The formula for the speed is calculated as;
Speed = Distance / Time
Given that;
Jennifer can paddle a certain distance with the current in 2.5 hr.
And, To cover the same distance against the current, she takes 5 hr.
Let distance be D , speed is S and the current speed will be C.
The we can formulate two conditions as;
(S + C) × 2.5 = D .... (I)
And, (S - C) × 5 = D .... (II)
Solve equation (i) and (ii) we get;
S = 3C
Thus, we can say that;
The rate of paddling in still water is 3 times than the speed of the current.
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Tabitha's hiking distance in july was 2 1/6 She write the distance as 2/16 miles. What error did she make?
Answers
of the 460 visitors on saturday 54/100 of them stayed until the park closed about how many visitors stayed the park closed?
Answers
Hope this was helpful
460*.54=
248.4 (can't have half a person so...)
248
A pitcher holds 8 and one half cups of orange juice and I pour all of the juice evenly into six different glasses. How many cups of juice will there be in each glass?
Answers
8.5
--- = 1.41 cups in each glass.
6
This could also be expressed as 1 5/12 cups in each glass.
If Bella runs 40% as fast as Thomas and 35% as fast as tam what percent faster than Thomas is tam
Answers
What are the answers to 1 5 3 and 6 really aprreciate it!
Answers
2. y=5/1x which is also y=5x (basically subtract y^2-y^1/ x^2-x^1 ex. -2--7/5-4
3.y=2/3x-1/2
4.-3/-1 which is two negatives dividing which makes it positive. y=3x
5.cant see
6. Find slope first. y=3x then use point (1,1) move one left and 3 down. and the y intercept would be -2
What is the slope of the line passing through the points (-1,3) and (4,-7)?
A. 2
B. -2
C. 3/4
D. - 4/3
Answers
Answer:
B) -2
Step-by-step explanation:
-7-3/ 4+1= -10/5 = -2
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-1, 3) and (4, -7). Substitute:
[tex]m=\dfrac{-7-3}{4-(-1)}=\dfrac{-10}{5}=\boxed{-2}\to\boxed{B.}[/tex]
Write an expression with four terms. Include at least one term with an exponent, one term with a coefficient of 5, one term with three factors, and one constant. Make two of the terms like terms.
Answers
This expression has two terms; 8x³ and 5
The value of '8' in 8x³ is called COEFFICIENT
The value of '3' in 8x³ is called POWER or INDICES
The term 8x³ is called an exponent because it has power/indices
The letter 'x' in the term 8x³ is called VARIABLE
So, we want an expression with four terms
_____ ⁺/₋ _____ ⁺/₋ _____ ⁺/₋ _____
One term with an exponent ⇒ You can choose any letter and any power that will go with it, for example, 6x⁴
One term with a coefficient of 5 ⇒ 5x⁴
One term with three factors ⇒ This could be a combination of any three letters that represent three values for example 'abc'. This term means a × b × c, so it has three factors.
One constant ⇒ Choose any number, say 45
Make two of the terms like terms ⇒ We have 6x⁴ + 5x⁴; these two terms are alike, they are in term of x⁴
Putting the four terms together: 6x⁴ + 5x⁴ + abc + 45
A cookie recipe that yields 48 cookies calls for 2 cups of flour a different cookie recipe that yields 60 cookies calls for 30 cups of flour are these rates equivalent explain your reasoning can someone please help me ASAP
Answers
60 over 3= 20 over 1
no the rates are not equivalent.
What is the quotient of b3+4b2-3b+126/b+7?
A. b² + 11b + 80 R276
B. b² − 11b + 38 R140
C. b² − 3b + 18 R252
D. b² − 3b + 18
Answers
If this is the answer, then, when multiplied by b+7, we should get
b³+4b²-3b+126
(b+7) (b² - 3b + 18) Distribute
= b³ - 3b² + 18b + 7b² - 21b + 126 Collect like terms
= b³ + 4b²-3b + 126
This number perfectly matches the numerator in the first term!
Therefore, the answer is D) b² − 3b + 18
how many bracelets can she make in 3.5 hours
Answers
If you go to x = 2, you see y = 6.
x is the independent variable and represents the number of hours she works.
Now go up from x = 2 on the x-axis until you reach the line. At that point, y = 6. y is the dependent variable and shows how many bracelets she makes.
She makes 6 bracelets in 2 hours.
If you divide the number of bracelets by the number of hours, you get the unit rate of bracelets per hour.
6 bracelets / 2 hours = 3 bracelets/hour
Now multiply the unit rate by 3.5 hours
3 bracelets / hour * 3.5 hours = 10.5 bracelets.
In 3.5 hours, she makes 10.5 bracelets.
The figure below shows a shaded rectangular region inside a large rectangle:
A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 6 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray.
What is the probability that a point chosen inside the large rectangle is not in the shaded region?
Answers:
18%
36%
42%
64%
Answers
Answer:
64
Step-by-step explanation:
find the equation of the normal of the curve at the given points :D thankiewss
Answers
[tex]y_0=f(x_0)=\dfrac{20-x_0}{3x_0}\\\\\\3=\dfrac{20-x_0}{3x_0}\quad|\cdot3x_0\\\\\\3\cdot3x_0=20-x_0\\\\9x_0=20-x_0\\\\9x_0+x_0=20\\\\10x_0=20\quad|:2\\\\\boxed{x_0=2}[/tex]
Now, when we know that [tex]P=(x_0,y_0)=(2,3)[/tex] we can write an equation of the normal line as:
[tex]\boxed{y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)}[/tex]
Calculate [tex]f'(x_0)[/tex]:
[tex]f'(x)=\left(\dfrac{20-x}{3x}\right)'=\left(\dfrac{20}{3x}\right)'-\left(\dfrac{x}{3x}\right)'=\dfrac{20}{3}\cdot\left(\dfrac{1}{x}\right)'-\left(\dfrac{1}{3}\right)'=\\\\\\=\dfrac{20}{3}\cdot\left(-\dfrac{1}{x^2}\right)-0=\boxed{-\dfrac{20}{3x^2}}\\\\\\\\f'(x_0)=f'(2)=-\dfrac{20}{3\cdot2^2}=-\dfrac{20}{3\cdot4}=-\dfrac{20}{12}=\boxed{-\frac{5}{3}}[/tex]
and the equation of the normal line:
[tex]y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)\\\\\\y-3=-\dfrac{1}{-\frac{5}{3}}(x-2)\\\\\\y-3=\dfrac{3}{5}(x-2)\\\\\\y-3=\dfrac{3}{5}x-\dfrac{6}{5}\\\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}+3\\\\\\\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]
35+-20+-5 What is the answer?? Worth 10pts...
Answers
If two signs are different they make a negative, if two signs are the same, they make a positive:
[tex]35 - 20 - 5[/tex]
[tex]10[/tex]
Hope this helps!
the area of australia is 2.95 x 10^6 square miles. what's the approximate average number of people per square mile in Australia?
Answers
The approximate average number of people per square mile in Australia is approximately 8.47.
Explanation:To find the approximate average number of people per square mile in Australia, we can divide the total population of Australia by the area in square miles. According to the Australian Bureau of Statistics, the population of Australia is approximately 25 million. To calculate the average number of people per square mile, we can divide 25 million by 2.95 x 10^6:
Average number of people per square mile = 25,000,000 / 2.95 x 10^6
Simplifying this expression, we get:
Average number of people per square mile ≈ 8.47
Therefore, the approximate average number of people per square mile in Australia is approximately 8.47.
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A group consisted of two girls for every boy. 24 more girls joined the group. there are now five girls for every boy. how many boys are in the group?
Answers
A box of crackers costs 0.26 .if the box contains 10 ounces , what is the cost of the box of crackers
Answers
.26 per ounce of crackers
1 box=10ounces
Waht we need to find:
Cost of box= $2.60
.26×10=2.60
That is how much the box is
Marie mixes 16 liters of 78% acid solution with a 25% acid solution to make a 41% acid solution. How many liters of 25% solution did she use? 8 liters 12 liters 13.7 liters 37 liters
Answers
16 liters x 0.78 = 12.48 liters
0.25x +12.48 = 0.41(16+x)
0.25x+12.48 = 6.56 +0.41x
5.92 = 0.16x
x = 5.92/0.16 = 37 liters
the diameter of a u.s penny is 3/4 inch.how many pennies would it take to make a row 42 inches long
Answers
mark me as brainliest please and thank you
sir wash his cars at the carwash she makes $8 25 per hour and $30 in tips per day give an expression that Sarah could use to calculate her daily earnings A$8 25x + $30 B $8 25 + $30 C $8 25 - $30 D $8.25 + $30x
Answers
x = hours worked so her hourly pay would be 8.25x
then you add 30 in tips
so it would be 8.25x+30
Answer is A
PLEASE HELP ASAP!
Which of the following does not represent a function?
the first one on the left is A and the last one on the right is D
Answers
HELP ASAP
8 5/12÷ 1 3/4
Answers
Brainliest?:)
At
6:00 A.M. the temperature was 33°F. By noon the temperature had
increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at
10:00 P.M. the temperature had decreased by 15°F, how much does the
temperature need to rise or fall to return to the original temperature
of 33°F?
A)
Fall 7°F
B)
Rise 7°F
C)
Fall 3°F
D)
Rise 3°F
Answers
12:00 p.m. the temperature increased by 10 F so it is 43 F
3:00 p.m. the temperature increased by another 12 F making it 55 F
At 10:00 p.m. it would decrease by 15 F making it 40 F.
The temperature would need to fall/decrease 7 F to reach the original temperature of 33 F so it would be A.
Hope this helps!
Can u plz mark me as brainliest? I really need it!
Use expanded form or number name to complete the definition.
A number written as the sum of the value of digits is written in .
Answers
Given: {An}=nn+1
Compute a3
Answers
a_3 = nn + 1
Replace every n with 3 and do the math.
a_3 = (3)(3) + 1
a_3 = 9 + 1
a_3 = 10
10 peaple can paint a room in 5 days. if each person paints as quickly as the others then how much of the building could 7 paint in 5 days?
Answers
If 10 people can paint the room in 5 days, then 7 people can paint 70% of the room in 5 days.
jacob bought some tickets to see his favorite singer. He bought some adult tickets and some children's tickets, for a total of 9 tickets. The adult tickets cost $10 per ticket, and the children's tickets cost $8 per ticket. If he spent a total of $76, then how many adult and children's tickets did he buy ?
Answers
Final answer:
Jacob bought 2 adult tickets and 7 children's tickets to see his favorite singer, spending a total of $76 for 9 tickets with adult tickets costing $10 each and children's tickets $8 each.
Explanation:
Jacob bought a total of 9 tickets, consisting of adult tickets and children's tickets. Adult tickets cost $10 each while children's tickets cost $8 each, and Jacob spent a total of $76 on tickets. To find out the number of adult and children's tickets he bought, we can set up a system of equations:
Let the number of adult tickets be represented by a and the number of children's tickets be represented by c. We are given two pieces of information:
Jacob bought 9 tickets in total: a + c = 9The total amount spent was $76: 10a + 8c = 76We can solve the system of equations by substitution or elimination. If we rearrange the first equation (a + c = 9) to get a = 9 - c, we can substitute this into the second equation 10a + 8c = 76:
10(9 - c) + 8c = 7690 - 10c + 8c = 7690 - 2c = 762c = 14c = 7Now that we have the value for c, we can find a:
a = 9 - ca = 9 - 7a = 2Jacob bought 2 adult tickets and 7 children's tickets.