Answer:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Step-by-step explanation:
[tex]468 + 108x + 6x^{2} \\6x^{2} +108x + 468[/tex]
Greatest common factor of 6, 108, and 486:
6 x 1 = 6
6 x 18 = 108
6 x 81 = 486
GCF: 6
so:
[tex]6(x^{2} +18x +81)[/tex]
[tex]x^{2} +18x + 81[/tex]
factors to:
(x + 9) (x + 9)
because:
9 x 9 = 81
9 + 9 = 18
So:
It factors completely too:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
In AIJK, i = 270 cm, j = 170 cm and _K=122°. Find the area of AIJK, to the
nearest square centimeter.
9514 1404 393
Answer:
19,463 cm²
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)ij·sin(K)
Filling in the values, we find the area to be ...
A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²
A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.
Answer:
Step-by-step explanation:
(20 points)
What is the measure of ^1?
☁︎
A:230
☁︎
B:130
☁︎
C:125
☁︎
D:115
Step-by-step explanation:
I want to say B) 130 but not 100% sure. Sorry if my answer is wrong.
Which of the following expressions is equivalent to 32 ÷ 4• 4 ÷ 2 • 2?
Answer:
128
Step-by-step explanation:
32 ÷ 4• 4 ÷ 2 • 2
8 .4.2.2
128
please help!!! and show work!!
Answer:
x = 17
Step-by-step explanation:
area = L x W
45 = (x-2)(x-14)
45 = x² - 14x - 2x + 28
simplify:
x² -16x - 17 = 0
(x + 1)(x -17 ) = 0
x = -1 not applicable
x = 17
Proof:
(17-2)(17-14) = 45
15 x 3 = 45
45 = 45
I need help with the questions I circle only.
Answer:
3:12
4:36
Step-by-step explanation:
( pls dont report me let me kno if it wrong and i will fix it
Can anyone help me with my homework
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)
Find the capacity of the tanks with the following internal dimensions. Express the capacity in cubic meters and liters for each tank.
Step-by-step explanation:
i) Capacity(Volume) = length x breadth x depth
= 3.2 x 2.9 x 1.5
= 13.92 m³
In litres, 13.92 x 1000 = 139,20 litres
ii) Capacity(Volume) = length x breadth x depth
= 2.5 x 1.6 x 1.3
= 5.2 m³
In litres, 5.2 x 1000 = 5200 litres
iii) Capacity(Volume) = length x breadth x depth
= 7.3 x 3.6 x 1.4
= 36.792 m³
In litres, 36.792 x 1000 = 36,792 litres
help plz ill give extra points
3/5+1/4
Give your answer as a fraction in its simplest form
Answer:
5.25/5 i think
Step-by-step explanation:
3/5 = 8/10 and 1/4 = 2.5/10
So if I do 8/10 + 2.5 / 10.
My reply is 10.5/10
And if I reduce as max, my reply is: 5.25 / 5
circle A is defined as (x+5)^2+(y-6)^2=16, and circle B is defined as (x+3)^2+(y+2)^2=9. which transformation of circle A shows that circle B is similar
Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”
Step-by-step explanation:
A process manufactures ball bearings with diameters that are normally distributed with mean 25.14 mm and standard deviation 0.08 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on
Answer:
The diameter is in the 77th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
25.14 mm and standard deviation 0.08 mm.
This means that [tex]\mu = 25.14, \sigma = 0.08[/tex]
A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on?
This is the pvalue of Z when X = 25.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25.2 - 25.14}{0.08}[/tex]
[tex]Z = 0.75[/tex]
[tex]Z = 0.75[/tex] has a pvalue of 0.77.
The diameter is in the 77th percentile.
12+x=46
what is the answer to x?
Answer:
x=34
Step-by-step explanation:
Help this is due today
Rewrite the number in Standard form
6 x 10^8
Answer:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.
Answer:
600000000
Step-by-step explanation:
10^8=100000000
6×100000000=600000000
hope this helps
The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
A. 405
B. 120
C. 135
D. 110
Answer:
c) 135
Step-by-step explanation:
dog ratio is 3
45 ÷ 3 = 15
therefore ratio 1 is 15
ratio 9
9×15 = 135
3^x=2 solve for x without using calculating utility?
here is a tree diagram showing the sample independent events how many outcomes are there for the second event
8
1
2
4
this is for all the linemen out there respect the gut (im a RT and DE)
Answer:
oh
Step-by-step explanation:
Question 2
There are 8 students in a discussion section: 3 boys and 5 girls.
If the teacher picks a group of 1 at random, what is the probability that everyone in the
group is a boy?
3/8
1/3
110
Submit answer
Exit
wl
Chin
Answer:
3/8
Step-by-step explanation:
this is because there are 8 students in all and only three of them are boys
Evaluate 4a^0 where a = -2
Answer:
[tex]4a^0 = 4 \times 1 = 4[/tex]
PLEASE HELP ME!!! PLEASE
Answer:
it should be (8,-7)
Step-by-step explanation:
Acellus
A
-3
-2.
-1
B
The distance AB rounded to the
nearest tenth = [?].
Hint: d= V(x2 – x1)2 + (y2 - y1)2
Enter
haha help plz
Answer:
[tex]AB = 3.6[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Distance AB
From the graph:
[tex]A = (-2,1)[/tex]
[tex]B = (1,-1)[/tex]
The distance is:
[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]AB = 3.6[/tex]
PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:According to splashlearn.com they say, "Rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal. A rectangular prism has a rectangular cross section."
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
Rectangular Prism :
A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.
All the opposite faces of a rectangular prism are equal.
A rectangular prism has a rectangular cross section.
Rectangular prisms can be of two types, namely right rectangular prism and non-right rectangular prisms
A rectangle with an area of 61 units” is dilated by a scale factor of ;. Find the area of
the rectangle after dilation. Round your answer to the nearest lenth, if necessary.
Answer:
34 units
Step-by-step explanation:
I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.
Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.
Finally, I solve for the area of the rectangle:
45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)
Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?
A. 24 months
B. 48 months
C. 36 months
D. 12 months
Answer: 24 Months
Step-by-step explanation:
PLS HELP ME
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
4
grams. The mass of a larger type of hummingbird is about 6 times the mass of the Bee hummingbird.
What is the mass of the larger hummingbird?
Answer:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
An insurance office buys paper by the ream, 500 sheets, for use in the copier, fax, and printer. Each ream lasts an average of 4 days, with standard deviation 1 day. The distribution is normal, independent of previous reams. a. Find the probability that the next ream out- lasts the present one by more than 2 days. b. How many reams must be purchased if they are to last at least 60 days with probability at least 80%
Answer:
a) the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b) the number of reams that must be purchased is 19
Step-by-step explanation:
Given the data in the question;
Lets X₁ and X₂ be the two random variables that represents the first and second ream lasts
given that both random variables follow normal distribution with mean 4 and standard deviation 1.
a)
Find the probability that the next ream out- lasts the present one by more than 2 days.
P( X₂ - X₁ > 2 ) = P( [(X₂ - X₁ - E(X₂ - X₁)) / √(V(X₂ - X₁)] > [ (2-E(X₂ - X₁))/√(V(X₂ - X₁) ]
= 1 - P( Z ≤ [2-(μ₂ - μ₁)] / [√( V(X₂) + V(X₁) ) ] )
= 1 - P( Z ≤ [2-(4 - 4)] / [√( 1 + 1 )] )
= 1 - P = ( Z ≤ 2 / √2 )
= 1 - p( Z ≤ 1.4142 )
from excel; p( Z ≤ 1.41 ) = 0.9213
P( X₂ - X₁ > 2 ) = 1 - 0.9213
P( X₂ - X₁ > 2 ) = 0.0787
Therefore, the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b)
How many reams must be purchased if they are to last at least 60 days with probability at least 80%
total value is 4n
standard deviation is nσ
so
P(nX ≥ 60 ) = 0.80
P( nX-nμ /nσ ≥ 60-nμ/nσ) = 0.80
P( Z ≥ 60-4n/n) = 0.80
1 - P( Z ≥ 60-4n/n) = 0.80
P( Z < z ) = 0.20
now since z = 60-4n/n
from standard normal table
critical value of z corresponding to cumulative area of 0.20 is -0.841
so
z = - 0.841
60-4n/n = -0.841
60 - 4n = -0.841n
60 = -0.841n + 4n
60 = 3.159n
n = 60 / 3.159
n = 18.99 ≈ 19
Therefore, the number of reams that must be purchased is 19
925 at 2% for 2.4 years
Answer:
Step-by-step explanation: