Answer:
The bases are not the same.
Step-by-step explanation:
12/3 is not equal to 11/3
Therefore we cannot add the exponents together.
Hope I helped :)
Answer:
(see below)
Step-by-step explanation:
12³ × 11³ is NOT equivalent to (12 × 11)[tex]^{3(3)}[/tex] because:
1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.
2) 12³ × 11³ and (12 × 11)[tex]^{3(3)}[/tex] are different because (12 × 11)[tex]^{3(3)}[/tex] is a whole different number altogether. Here's why:
12³ × 11³ = 1728 × 1331
= 2,299,968
(12 × 11)[tex]^{3(3)}[/tex] = [tex](132)^{9}[/tex]
= 1.216649217 × [tex]10^{19}[/tex]
However, (12 × 11)³ would be equivalent to 12³ × 11³.
(12 × 11)³ = (132)³
= 2,299,968
Jane Little rents a car for $39.00 a week. She pays $15.00 per week for the insurance, and spends $17.50 weekly on gas. What will her cost be per month (four weeks)?
Answer: Her cost will be $286 per month.
Step-by-step explanation: $39.00 times 4 is $156. $15.00 times 4 is $60. And $17.50 times 4 is $70. Adding all that together is $286
Answer:
$286.00
Step-by-step explanation:
First, you add 39.00 + 15.00 + 17.00 because that is for one week and you get $71.50 Then, you multiply 71.50 x 4 because there are 4 weeks in a month and you get $286.00 Hope This Helps :)
Which is not a a equivalent Ratio?
a) 6:15
b) 2 :5
c) 12 : 25
d) 40:100
Answer:
A
Step-by-step explanation:
A lab technician must screen 175 slides under the microscope each week. If she works 7 hours a day, 5 days a week, how many slides,on average, must she screen in one hour
Answer:
The lab technician must screen 5 slides per hour
Step-by-step explanation:
If the lab technician works 5 days a week, and 7 hours per day, then she works 5*7 = 35 hours a week.
Given she must screen 175 slides each week, we can calculate on average, the number of slides per hour needed to complete the work.
The average is calculated as:
[tex]\displaystyle average=\frac{\text{total slides}}{\text{total hours}}[/tex]
[tex]\displaystyle average=\frac{175}{35}=5\ slides/hour[/tex]
The lab technician must screen 5 slides per hour
An adult dinner cost 8 a family of 2 adults and children pay 24 for the their dinners
Answer:
The total cost will be 2 adult ($16), and 4 children ($8)
Is this correct, you don’t have to look at my work just check to see if it’s correct please and thank you
Answer:
[tex] y = 4x + 32 [/tex].
Step-by-step explanation:
Here's a solution to the problem.
Given:
Point = (-5, 12)
Slope (m) = 4
Required:
Equation of the line
SOLUTION:
Recall, the equation for slope-intercept form is [tex] y = mx + b [/tex].
We are given slope (m) as 4. We need to find the value of b to derive an equation of the line.
Simply substitute x = -5, y = 12 and m = 4 into [tex] y = mx + b [/tex], and solve for b.
[tex] 12 = 4(-5) + b [/tex]
[tex] 12 = -20 + b [/tex]
Add 20 to both sides
[tex] 12 + 20 = b [/tex]
[tex] 32 = b [/tex]
[tex] b = 32 [/tex]
Next, substitute m = 4 and b = 32 into [tex] y = mx + b [/tex].
[tex] y = 4x + 32 [/tex].
The line of the equation that has a slope of 4, and passes through (-5, 12) is [tex] y = 4x + 32 [/tex].
Obviously, your calculations are wrong. The above is the right way to solve the problem given.
Can someone please help
Answer:
What is your question?
Step-by-step explanation:
( 3+√3 ) (2+√2) simplify
A food scientist determine the new type of orange is 15.38 mg of vitamin c/oz how much vitamin C is in orange that weighs 6 3/5 oz in your answer as a decimal to the nearest 10th in the box
Answer:
(Sorry this is a late response) This fraction 6 3/5 would equal 6.6 so 6 3/5=6.6 Then you will do 6.6 times 15.38=101.508 or 101.5
Step-by-step explanation:
You would divide 3 and 5 or 5 and 3 because 3 and 5 equals the fraction 3/5. The dividend is 3 and the 5 is the divisor. The quotient of this is 0.6. So the next step would be to add the 6 from 6 3/5 so this is the whole number so add it in front of 0.6 so it would turn into 6.6. The last step is to multiply the weight of the orange by the mg of vitamin C/oz that is 15.38 so multiply 6.6 by 15.38 this would equal 101.508 so you would just round this to a better answer and that would make it 101.5. I hope this helps :0
The point C is 3/4 of the way from point A (-4,1) to point B (6,5). What are the coordinates of point C?
Answer:
(-1,5)
Step-by-step explanation:
The coordinates of point C are (7/2, 4).
What is midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
C is a point between AB.
Point C is 3/4 of the way from point A (-4,1) to point B (6,5).
This means,
AC : CB = 3 : 1 = m : n
Now,
m = 3
n = 1
(-4, 1) = (a, b)
(6, 5) = (c, d)
C = (x, y)
x = (mc + na)/(m + n)
x = (3 x 6 - 4)/4
x = (18 - 4)/4 = 14/4 = 7/2
y = (md + nb)/(m + n)
y = (15 + 1)/4 = 16/4 = 4
Now,
The coordinates of C is (7/2, 4).
Thus,
C is at the point (7/2, 4).
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How do you do this question?
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
The lengths of a side of a triangle are 12.1 inches, 11.28 inches, and 5.4 inches. What is
the perimeter of the triangle?
Answer:
28.78
Step-by-step explanation:
12.1+11.28+5.4=28.78
To find a perimeter, you would add up all of the sides. There are 3 sides so you would add them all up to get 28.78
11. Mark builds 3 Lego towers. Each tower is made of 5 square layers
which have a width and length of 5 Lego pieces. Suddenly, Mark's little
brother breaks one and runs off with 45 pieces. Use the expression to show
how many pieces Mark is left with.
Answer:
Step-by-step explanation:
One fruit drink advertised that it contained "10% real fruit juice." In one bottle, this was found to be 4.8 oz of real juice. How many ounces is something other than fruit juice?
Answer:
43.2 oz
Step-by-step explanation:
4.8/x=10/100
simplify:
4.8/x=1/10
cross multiply:
x=48
there is 48 oz juice in total
to find the rest:
48-4.8=43.2
43.2 oz is something other than fruit juice.
Hi-Tech, Inc., is a computer training company serving metropolitan Toronto, Canada. The firm contracts a group of part-time instructors to teach a variety of courses concurrently at its downtown location. While demand is so high that any class offered will be filled immediately, Hi-Tech is looking at only two courses at this time: Introduction to Computers (ITC) and Creation of Web Pages (CWP). Each ITC class requires 7.5 hours of preparation/instruction time and contributes a profit of $720, whereas each CWP class calls for only 3 hours and contributes $300. Available time for these two courses is limited to 56 hours a day. There is a restriction on the maximum number of trainees that can be efficiently handled. More specifically, at most 100 students can be accommodated on a daily basis without putting a strain on the facility and support staff. Additionally, each course has a class size limit - 6 for ITC and 12 for CWP. Hi-Tech would like to maximize the daily total profit from both courses so that it could offer certain other courses on a "goodwill" basis. Formulate an AILP for management to decide how many classes should be scheduled for each subject daily
What is the objective function?
Answer:
The AILP for management to decide how many classes should be scheduled for each subject daily is
The objective function is mathematically represented as
[tex]M = P_c * a + P_w * b[/tex]
=> [tex]M = 720 a + 300 b[/tex]
Now the first constraints to this functions is
[tex]t_c * x + t_w * y \le t_a[/tex]
=> [tex] 7.5 x + 3 y \le 56[/tex]
Another constraints to this function is
[tex]k x + u y \le N[/tex]
=> [tex]6 x + 2 y \le 100[/tex]
Here x and y are the number of classes
Step-by-step explanation:
From the question we are told that
The time required for each ITC class is [tex]t_c = 7.5 \ hours[/tex]
The profit of each ITC class is [tex]P_c = \$ 720[/tex]
The time require for CWP class is [tex]t_w = 3 \ hours[/tex]
The profit for CWP class is [tex]P_w = \$ 300[/tex]
The total time available is [tex]t_a = 56 \ hours / day[/tex]
the maximum number of trainee that can be accommodated in a daily basis is [tex]N = 100[/tex]
The class size limit for ITC is [tex]k =6[/tex]
The class size limit for CWP is [tex]u =12[/tex]
Generally the aim of Hi-Tech is to maximize profit
So the objective function will be a function that maximizes profit
Generally the objective function is mathematically represented as
[tex]M = P_c * a + P_w * b[/tex]
=> [tex]M = 720 a + 300 b[/tex]
Now the constraints to this functions are
[tex]t_c * x + t_w * y \le t_a[/tex]
=> [tex] 7.5 x + 3 y \le 56[/tex]
Another constraints to this function is
[tex]k x + u y \le N[/tex]
=> [tex]6 x + 2 y \le 100[/tex]
Here x and y are the number of classes
which value of x is the solution of the equation 2/3x + 1/2 = 5/6?
Answer:
2
Step-by-step explanation:
2/3(2) + 1/2 = 5/6
If it's 2/3 * X then x is equal to 1/2.
Please Help! I will give brainlist whoever answer first!
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the nearest tenth)?
A) 6.4
B) 12.7
C) 15.2
D) 52.2
Answer:
d
Step-by-step explanation:
add all together equals 522
522/10 = 52.2
The mean absolute deviation of the data set of 15.2
What is mean absolute deviation?Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.
Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
Given is a data set, we need to find the mean absolute deviation for the group,
So,
The mean = 38+45+76+93+50+54+29+44+62+31 / 10
= 522/10 = 52.2
Now finding the absolute deviation =
|52.2-38| = 14.2
|52.2-45| = 7.2
|52.2-76| = 23.8
|52.2-93| = 40.8
|52.2-50| = 2.2
|52.2-54| = 1.8
|52.2-29| = 23.2
|52.2-44| = 8.2
|52.2-62| = 9.8
|52.2-31| = 21.2
The mean absolute deviation = 14.2 + 7.2 + 23.8 + 40.8 + 2.2 + 1.8 + 23.2 + 8.2 + 9.8 + 21.2 / 10
= 152.4 / 10
= 15.24
≈ 15.2
Hence, the mean absolute deviation of the data set of 15.2
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I WILL MARK BRIANLIEST PLEASE HELP!!!
Answer:
50 degrees
Step-by-step explanation:
Angle ABE is the opposite of the angle given on two converging lines, making it the same degree :)
Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?
18 ft = 6 yd
O True
O False
Help
Step-by-step explanation:
there is 3 feet in a yard
divide by 3
18 ÷ 3 = 6
true
Martha drove 281.4 miles in 4.2 hours. How fast was she driving?
Answer:
I think your answer would be 67 mph
Step-by-step explanation:
281.4 / 4.2 = 67
Formula for speed:
d / t = s
-18 - 6n= 6 (1 + 3n)
Answer:-1
Step-by-step explanation:-18-6n = 6 + 18n
-6n=6
divide
n=-1
Answer:
-1
Step-by-step explanation:
First, divide by 6
-18/6- 6n/6=6/6(1+3n)
-3-n= 1+3n
Then move the variable to one side
-3-n+n= 1+3n+n
-3=1+4n
Then isolate the variable
-3-1=1-1+4n
-4=4n
Isolate more
-4/4=4n
-1=n
The Empire State building is 1250 feet tall maria wants to make a model that has a scale of 1/4 foot equals 50 feet how tall with her model B
Answer:
6 1/4
Step-by-step explanation:
Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
If the price of soil is $1.50 per quart, how much will he pay in all?
Answer the answer to your question is $7.50
Dave has 500 baseball cards, which is as many cards as Eric and Travis have combined. Eric has three times as many cards as Travis. If Travis is donated x cards, Eric 3x cards, and Dave 500 cards. What is the total number of calls that all of them have? Also, explain how we figure out the amount of cards Travis has and the amount Eric has
Answer:
regtrgerf
m klbhjkb.Step-by-step explanation:
2/5 - 4 (5.4) solve
Answer: -106/5= −21.2
Step-by-step explanation: Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 - (108)/5 = -106/5
angle 4 and angle 5 are ??? angles will mark brainiest
Answer:
alternate interiorStep-by-step explanation:
alternate interior angles are congruent if and only lines are parallel.
What is the radius of a circular swimming pool with a diameter of 2 feet?
Answer:
1 foot
Step-by-step explanation:
Answer:
it is 1 foot can i have brainly lol
Step-by-step explanation:
What is the slope intercept form for this?
Slope= 2/3 Y intercept= -1
Answer:
y = 2/3x-1
Step-by-step explanation:
Please help me out thanks
If n is divisible by 2, 5 and 14, which of the following is also divisible by these numbers?
Answer:
The number 70 is divisible by 2,5 and 14.
Explanation:
Out of all the equations, n+70 ⇒ 70+70 ⇒ 140.
140 is divisible by 2, 5 and 14.
SO the answer is option e: n+70