Answer:
8748
Step-by-step explanation:
a^5b^-6
when replacing the variables with their values :
3^5 -6^2
3^5 = 3*3*3*3*3 = 243
(-6)^ 2 = 36
243 * 36 =
8748
A movie theatre needed 980 popcorn
buckets. If each package has 9 buckets,
how
many packages will they need to
buy?
Find all values of k such that the graph of the inequality (x-2)(x-5)(x-k) >= 0 consists of a single interval on the number line.
(x - 2)(x - 5)(x - k) >= 0
Let's set each term equal to 0
x - 2= 0
Add 2 to both sides
x = 2.
x - 5 = 0
Add 5 to both sides
x = 5
x - k = 0
Add k to both sides
x = k
Since x = 2 and 5, k = 2, 5
Let's plug our numbers into the inequality.
(2 - 2)(2 - 5)(2 - 2) >= 0
(0)(-3)(0) >= 0
0>=0
(5 - 2)(5 - 5)(5 - 5) >= 0
(3)(0)(0) >= 0
0 >= 0
This proves that 2 and 5 are equal to k
1) The smallest perfect square number 1 point
divisible by 5, 6 and 27 is
Answer:
[tex]8100[/tex], which is the square of [tex]90[/tex].
Step-by-step explanation:
Factor the three divisors into prime numbers:
[tex]5[/tex] is a prime number itself.[tex]6 = 2\times 3[/tex].[tex]27 = 3^3[/tex].Any number divisible by these three divisors should include the following factors:
[tex]2[/tex],[tex]3^3[/tex], and [tex]5[/tex].Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)
[tex]2[/tex] becomes [tex]2^2[/tex] (add [tex]1[/tex] to the initial power of [tex]1[/tex] to obtain [tex]2[/tex].)[tex]3^3[/tex] becomes [tex]3^4[/tex].[tex]5[/tex] becomes [tex]5^2[/tex].The product of these three factors would be:
[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].
Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,
[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].
Answer:
8100 is the smallest perfect square divisible by 5,6 and 27
Step-by-step explanation:
5 = 5 * 1
6 = 2 * 3
27 = 3 * 3 *3
5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5
Factors of perfect square will be perfect squares
To make this a perfect, multiply by 5 * 2
Perfect square = 5 * 6 * 27 * 5 * 2
= 8100
Please answer ASAP, I will give you brainilest and 5 stars if you get it right and do it quick!!
Answer:
a) 3.2 cm
b) 6.25 km
find the distance between theses points:(8,0),(-6,6). Round answer to nearest tenth if necessary.
Answer:
Chicken strips
Step-by-step explanation:
Dont ask they are just on my mind
Nathan is hosting a part for 40 guests. He will count each of the 45 drop in guests as half a guest. How much of each food item should Nathan order?
Fried chicken- 24 pieces
Deli meats- 3 2/3
Lasagna 10 3/4
Answer:
25 guests is 2.5 times more than 10
Step-by-step explanation:
Multiply by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
Solve the equation.
b + 6 = 27
Answer:
Step-by-step explanation:
b+6=27
b=27-6
b=21
Answer:
b = 21
Step-by-step explanation:
To find this answer, all you have to do is subtract 6 from both sides of the equal sign, where you will cancel out the 6 and subtract 6 from 27. 27 minus 6 is 21, so you are left with b = 21
A manufacturer of bulbs for movie projectors finds that the lives of the bulbs are normally distributed with a mean of 61 hours and a standard deviation of 6.3 hours. The manufacturer will guarantee the bulbs so that only 3% will be replaced because of failure before the guaranteed number of hours. For how many hours should the bulbs be guaranteed?
Answer:
49.2 hours
Step-by-step explanation:
Use a chart or calculator to find the z-score associated with the probability.
P(Z < z) = 0.03
z = -1.88
Now find the x value.
z = (x − μ) / σ
-1.88 = (x − 61) / 6.3
x = 49.2
The quotient of 5 and a number, k ? Write the algebraic expression
Answer:
[tex] \frac{5}{k} [/tex]
Step-by-step explanation:
Quotient refers to the result we get when we divide a number by another number. In more precise words, the dividend (numerator) over the divisor (numerator) equals the quotient.
In this case, 5 is the dividend, k is the divisor, which is representing an unknown number.
We cannot get an actual number, but we can use algebraic expression to express the quotient as follows:
Quotient of 5 and k = [tex] \frac{5}{k} [/tex]
32 as a single power of 2
Answer:
1024
Step-by-step explanation:
Answer:
1024
Step-by-step explanation:
(a) Reuben runs 12 miles in 96 minutes.
How many miles does he run per minute?
miles per minutes?
Answer:
0.125 miles per minute
which is the perimeter of the triangle below?
ft
aft
foot
foot
O
1 foot
O 11
11
feet
Answer:
ft is premeter of triangle
Let A (10, 11, 12, 13 and B (a, b, c, d) Let g be a function from A to B defined by f(10, a), (11,a), (12, b), (13,b)) What is the inverse image of d?
Answer:
d does not have an inverse image
Step-by-step explanation:
From the question we are told that
The first set is A (10, 11, 12, 13 )
The second set is B (a, b, c, d)
The function that from A to B is f(10, a), (11,a), (12, b), (13,b))
Generally for a function defined by (x,y), y is the image of x while x is the inverse image of y
Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function
hence d does not have an inverse image
what is the difference between (5+3)x3 (5+3)x9
Answer:
If you were asking the difference as in subtraction then the answer is 18.
I have a load of 5"- 8" cobblestones at $140/yd. and it will cover 65 square feet of ground. How many pounds am I getting and how much per pound am I paying?
Answer: I just miss my dog ;(
Step-by-step explanation:
What is the slope of the equation y-3 =-4(X - 5)?
-4
-3
20
23
Answer:
-4
Step-by-step explanation:
a can of paint covers 400 square feet how many cans will needed to cover 3,000 square feet
Answer:
7 and a half cans of Paint ( 7.5 cans of paint )Step-by-step explanation:
If one can of paint covers 400 square feet then this should be easy. Since you need 3,000 square feet covered with paint (and one paint can cover 400 sq) then just divide 3,000 by 400.
This will show you how many times 400 can go into 3,000 which is the same as saying "how many cans of paint can i used to cover 3,000 square feet?"
Hope this helped!-GregAll sale items are marked an additional 10% off the sale price. If a coat that originally costs $110 is on sale for 25% off, what is the new sale price? Is this a reduction of 35% off the original price
Answer:
The new sales price is $74.25
Step-by-step explanation:
110 x 0.25 = 27.5
110 - 27.5 = 82.5
82.5 x 0.10 = 8.25
82.5 - 8.25 = 74.25
Simply discounting 35% off the original price does not work in this specific problem.
what is the square root of 2/8 as a decimal
Arturo’s gym membership costs $100 per year plus $20 per month. Which equation represents this relationship?
Answer:
$100+$20=$120
Please help and do these asap no fake stuff please. Click on the paperclip to see problems
sorry, it's too blurry for me
Answer:
20 because that what I think
Find an equation for the line with the given properties.
Parallel to the line 2x - y = - 4; containing the point (0,0)
y = 2x (Type your answer in slope-intercept form.)
Answer:
y = 2x
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Find slope m
2x - y = -4
-y = -2x - 4
y = 2x + 4
Since the 2 lines are parallel, they have the same slope.
Step 2: Define variables
Slope m = 2
Origin (x-int and y-int) (0, 0)
Step 3: Write parallel linear equation
y = 2x + 0
y = 2x
can I get an answer please
Answer:
the first one.
solve 9 = 4 + x ( show your work )
Answer:
x = 5
Step-by-step explanation:
1. 9 = 4 + x
2. 9 - 4 = 4 + x - 4
3. 5 = x
Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Passing through (4,8) and (7,14)
Type the point-slope form of the equation of the line
Answer:
Step-by-step explanation:
(14 - 8)/(7 - 4)= 6/3= 2
y - 8 = 2(x - 14)
y - 8 = 2x - 28
y = 2x - 20
3|3t+1|=2|6t+3| Need hep
Answer:
your answer would be t=-1 or t=1
Step-by-step explanation:
-(2t-3) = 3t-2
Multiply
-2t+3 = 3t-2
Rearrange and Add up
-5t = -5
Divide both sides by 5
-t = -1
Multiply both sides by (-1)
t = 1
Which is the solution for the Negative Case
Solve the Positive Case
(2t-3) = 3t-2
Rearrange and Add up
-t = 1
Multiply both sides by (-1)
t = -1
have a great day!
The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?
Answer: 150 pages
Step-by-step explanation:
I usually just multiply the number by the percentage and it works out just fine :)
Help!!to show your work!!
On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5
Answer:
On the number line integers from 16 to 24 is the answer.
Answer:
Step-by-step explanation:
distribute the money £423 in the ratio 1 : 2 : 3
Answer:
see below
Step-by-step explanation:
will make short and simple
$423 in the ratio 1 : 2 : 3
420 / 6 = 70
1 * 70 = 70
2 * 70 = 140
3 * 70 = 210