Given:
[tex](x+9)^2[/tex]
To find:
The given expression as a trinomial in standard form.
Solution:
We have,
[tex](x+9)^2[/tex]
Using the formula, [tex](a+b)^2=a^2+2ab+b^2[/tex], we get
[tex](x+9)^2=x^2+2(x)(9)+(9)^2[/tex]
[tex](x+9)^2=x^2+18x+81[/tex]
Standard form a trinomial is [tex]ax^2+bx+c[/tex].
[tex]x^2+18x+81[/tex] is in the standard form.
Therefore, the required expression is [tex]x^2+18x+81[/tex].
You are a personnel director and are interested in predicting the Number of Shares of Company Stock (Y) using the Number of Years Employed with the Company (X). You randomly selected 8 employees and found that the average number of shares is 525 and the average number of years employed is 22.5. If the slope (b1) is 20.0, what is the least squares estimate of the intercept (b0)?
a. 25.0
b. 75.0
c. 40.0
d. 80.5
e. None of these are correct
Answer:
b. 75.0
Step-by-step explanation:
Calculation for the least squares estimate of the intercept (b0)
Using this formula
Intercept (b0) least squares estimate=[Shares average number-(Slope (b1)*Average number of years employed)]
Let plug in the formula
Intercept (b0) least squares estimate=[525-(20.0*22.5)]
Intercept (b0) least squares estimate=525-450
Intercept (b0) least squares estimate=75.0
Therefore the least squares estimate of the intercept (b0) will be 75.0
If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)
Answer:
Length = 0
Step-by-step explanation:
The bridge troll is tearing his toe nails up climbing the Empire State Building.
Please help me solve this question will give you braisnlt !
Answer:
C
Step-by-step explanation:
In slope intercept form y=mx+b
m is your rate of change/ slope
since the slope is +5
This means that your rate of change, in this case elevation, is 5 feet per minute.
As for b which is your y intercept, the -30 can be represented by the point (0,-30) on a graph it would be -30ft below the x axis. Meaning that if the diver lets say is the point he is 30 feet below sea level and acsending at a rate of 5 feet per minute.
Find the average rate of change for the given function
from x = -1 to x = 5. (4 points)
NEED EXPLAINING THX
Answer:
- 1
Step-by-step explanation:
All you need to do is find the slope. How you do that is y2-y1/x2-x1
Yours would look like this:
[tex]\frac{1-7}{5-(-1)}=\frac{-6}{6}[/tex]
Then you simplify to get -1
Find the value of x. Round to the nearest degree.
15
12
Answer:
153 degrees
Step-by-step explanation:
15+12=27
180-27=153
Find (x + 3) (x^2 – 2x – 8).
Answer:
(x−4)(x+2)(x+3
i think
Answer:
x^3 +x^2 -14x -24
Step-by-step explanation:
Use distributive property:
x(x^2)+x(-2x)+x(-8)+3(x^2)+3(-2x)+3(-8)
x^3 -2x^2 -8x +3x^2 -6x -24
x^3 +x^2 -14x -24
Please hurry I need this fast
Answer:
C
Step-by-step explanation:
Answer:a
Step-by-step explanation: a
multiply .035 times a power of ten so that the product is greater than 1 but less than 100
Answer:
0.035 x 10^3
Step-by-step explanation:
yes
i need help again again again again again
Answer:
D. 340.511
Step-by-step explanation:
when rounding 4 and lower rounds to 340 but 5 and up rounds to 341
Solve for x.
(17x –23)
°
(8x –4)
°
(3x + 17)°
Answer:
=28x −10
Step-by-step explanation:
28x
The value of x will be;
⇒ x = 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
Now,
Solve the expression as;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
⇒ 17x - 23 = 8x - 4 + 3x + 17
⇒ 17x - 23 = 11x + 13
⇒ 17x - 11x = 23 + 13
⇒ 6x = 36
⇒ x = 6
Thus, The value of x will be;
⇒ x = 6
Learn more about the mathematical expression visit:
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Use the line tool to graph the equation on the coordinate plane.
y = 3/4x
Step-by-step explanation:
in the equation y=mx+b, m corresponds to the slope, and b corresponds to the y-intercept. Since b is 0 at this case, we will start at (0,0). From here you can graph the line with the slope. Since it is 3/4, you would move up 3 units, and to the right 4 units to end up with the point (4,3). Now you have the two points (0,0) and (4,3), so all you need to do is connect them to form the line.
Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?
Answer:
12.5%
Step-by-step explanation:
400 divided by 3200= .125
.125 x 100= 12.5
12.5%
Rajiv paid using a 10 bill how much will she receive
Answer:
She will receive the change
Step-by-step explanation:
there no context to this question
Answer:
shes gonna receive her change
Step-by-step explanation:
;-; there is no instruction to your question
At time T equals zero, water begins to drip out of the pipe into an empty bucket. After 42 minutes, there are 6 inches of water in the bucket. Right Ellen air function rule to model how many inches of water W are in the bucket after any number of minutes T.
the values of 'm' and 'b' are 0.5 and 0 respectively.
Step-by-step explanation:
Write an integer for:
13° below zero
which one is the bigest and which one is the lowest
5 7/8
6
5.5
5 3/4
Answer:
Greatest to Least order: 6, 5 7/8, 5 3/4, 5.5
Step-by-step explanation:
First it's 6, then it's 5 7/8 because 5 7/8 = 5.875, then 5 3/4 because 5 3/4 = 5.75, and then 5.5 which is the lowest number.
!!!! HELP PLEASE !!!! WILL GIVE BRAINLIEST!!!!!!!!!
Find the error and explain why it is wrong: (THE ERROR IS NOT EXTRANEOUS SOLUTIONS)
Step ___ is incorrect because ____________. Instead, you should _____________________.
Answer:
Step 1 is incorrect because it was mutiplied. Instead, you should divide.
Step-by-step explanation:
When the correlation between x and y is zero, what is the best prediction of a y score that can be made from a given x score?
Answer:
The mean of y
Step-by-step explanation:
In statistics, correlation is the degree of the linear relationship between two variables. The correlation coefficient is the numerical measure of the linear relationship of two variables, It is measured in the range -1 to 1. When the coefficient is negative, the variables are said to have a negative correlation, while it is a positive correlation or have a strong linear relationship if the correlation coefficient is positive.
When the correlation coefficient is zero, both variables have no linear relationship and the best predictions of each variable would be the mean.
1.) Look at the figure below.
A
+5
3x
B
What is the measure of ZB?
A 35°
B
71°
С
760
D 105°
Answer:
D
Step-by-step explanation:
Please help UwU
also hope your day is going GREAT
if correct i will give BRAINIEST
Answer:
b bro and u get a good day too
Answer:
Pretty sure its C >:]
Explanation:
It's the third option because if you put a piece of paper in the corner its a lil more than 90 degrees, so it wouldn't be B (there's a little more white space left). And it obviously wouldn't be A because that's self explanatory, lol.
And you can't make a perfect square in the inside of the angle so that's another way to tell.
Extra:
I hope you have an amazing day too,, you seem very nice ^-^ good luck on your schoolwork today :]
There are three customer service operators manning a helpline: Alex, Bobby, Charlie. Charlie is relatively new and takes one third as many calls as Bobby. Alex handles 6 times as many calls as Charlie.
What proportion of calls does Bobby handle?
Answer:
Bobby answers 30% of all phone calls.
Step-by-step explanation:
To determine the proportion of calls that Bobby answers in the call center, knowing that Charlie handles one third as many calls as him, and that Alex handles six times as many calls as Charlie, the following equivalence must be made:
A = 6 C (1/3B x 6 = 2B)
B = B
C = 1/3 B
2B + B + 1/3 B = 100
3 1/3 B = 100
3.33 B = 100
B = 100 / 3.33
B = 30
Therefore, Bobby answers 30% of calls, Alex answers 60% and Charlie 10%.
need help.with this problem
Answer:
Step-by-step explanation:
A(2,2) B(-2,1) and C( 3,-3)
reflection over the the y-axis of (x, y) becomes ( -x, y)
A'( -2,2), B'( 2, 1) and C'( -3,-3)
Radha is trying to choose between two bike rental companies, Company A and Company B.
Company A charges a $25 initial fee and an additional $5 for each hour rented. Company B charges an initial $18 fee and an additional $6 for each hour rented.
The total cost to rent a bike from Company A can be represented by the equation y = 5h + 25, where h represents the number of hours rented and y represents the cost, in dollars.
The total cost to rent a bike from Company B can be represented by the equation y = 6h + 18.
For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours?
Part A:The number of hours when the rental amount charged will be the same is
Part B:The cost of renting the bike for this many hours is
Answer:
Part A. After 7 hours the amount charged will be the same
Part B. The cost of renting the bike for that many hours (7) will be 60$.
Step-by-step explanation:
5h + 25 = 6h + 18
5h - 6h = 18 - 25
-h = -7
h = -7/-1
h = 7
Company A.
y = 5h + 25
y = (5*7) + 25
y = 35 + 25
y = 60
Company B.
y = 6h + 18
y = (6*7) + 18
y = 42 + 18
y = 60
A painter can paint 180 square feet per hour. He charges $0.35 per square foot. Today he paints for 3.5 hours. How much will he charge?
Answer:
i think it's 1800
Step-by-step explanation:
if it's wrong i'm so sorry :)
The price charged for 630 square feet is $220.5
If a painter can paint 180 square feet per hour, the amount he will paint in 3.5 hours will be 3.5 * 180 = 630 square feet
If the painter charges $0.35 per square foot, the price for 630 square feet will be expressed as 0.35 * 630 = $220.5
Hence the price charge for 630 square feet is $220.5
learn more here: https://brainly.com/question/24191335
Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When cis
the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the
current).
8/5-c - 8/5+c
Find the difference in simplest form.
Answer:
16c
Step-by-step explanation:
The simplest form is: [tex]\frac{16c}{25-c^2}[/tex].
Total distance = 16 miles.
So each distance = 16/2=8 miles.
Given: He can paddle the kayak at an average rate of 5 miles/hour.
And the speed of the current is = c
So the speed while going up = (5-c)
The speed while going down=(5+c).
So the time while going up = [tex]\frac{8}{5-c}[/tex]
The time while going down=[tex]\frac{8}{5+c}[/tex].
So the difference is:
[tex]\frac{8}{5-c}-\frac{8}{5+c}\\=\frac{8(5+c)}{(5-c)(5+c)}- \frac{8(5-c)}{(5-c)(5+c)}\\=\frac{8(5+c)-8(5-c)}{(5-c)(5+c)}\\=\frac{40+8c-40+8c}{(5-c)(5+c)}\\=\frac{16c}{(5-c)(5+c)}\\=\frac{16c}{25-c^2}[/tex]
Learn more: https://brainly.com/question/6237128
At 7:00 a.m. the temperature was -4°F.At 9:00 a.m. it was 8 degrees warmer .what was the temperature at 9:00 a.m.
Answer:
The temperature was +4°F.
Step-by-step explanation:
The temperature got warmer by 8°F (or two sets of 4°F).
-4°F warming up to 0°F is the first set of 4°F. The second set of 4°F takes it from 0°F to +4°F.
Write an inequality that represents the verbal expression. 9 less than a number n is less than 17
Answer:
9<n<17.
Step-by-step explanation:
For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain during some period on both of the next two days, what is the probability that the first drop of rain will be felt between 9:15 AM and 2:50 PM on both days
Answer:
The required probability = 0.0541
Step-by-step explanation:
From the given information:
The probability that it will rain throughout the day is uniformly distributed & independent of the surrounding days.
Assuming that (P₁) represents the probability that it will rain between 9:15 am to 2:50 pm on day 1.
The time interval is 5 hours 35 minutes long.
= 5.583333 hours long
Thus;
P₁ = 5.583333/24
P₁ = 0.2326
Assuming that (P₂) represents the probability that it will rain between 9:15 am to 2:50 pm on day 2.
P₂ = P₁ = 0.2326
Therefore, the total probability = P₂ × P₁ (independent events)
= 0.2326 × 0.2326
= 0.05410276
≅ 0.0541
4. In a normal distribution with u=150, o = 12.5 find P(x < 145).
Answer:
i know it hard but i know u get there
Identify the type of sequence shown and select the appropriate response.
4, 24, 144, 864, ...
A) Geometric sequence, common ratio is 6
B) Geometric sequence, common ratio is 20
C) Arithmetic sequence, common difference is 6
D) Arithmetic sequence, common difference is 20
Answer:
the answer is A
Step-by-step explanation:
if you multiple 6 to 4 you get 24. if you multiple 24 to 6 you get 144. if you multiple 144 to 6 you get 864.