Answer:
$50.00 is the discount price
If x + 2 and x - 3 are factors of the following polynomial, then find the values of a and b. F(x) = x^2 + ax^2- 7x + b
[tex]\text{Given that,}\\\\f(x) = x^3+ax^2-7x+b \\\\\text{Since}~ (x+2)~ \text{and}~ (x-3)~ \text{are factors of f(x),}\\\\f(-2) = 0 ~ \text{and}~ f(3)=0\\\\\\ \text{Now,}\\\\f(-2)=0\\\\\ \implies (-2)^3+a(-2)^2-7(-2)+b =0\\\\\implies -8 +4a +14+b =0\\\\\implies 4a +b +6 =0~~~....(i)\\\\\\f(3) = 0\\\\\implies 3^3+a(3^2) -7(3) +b =0\\\\\implies 27 +9a -21 +b =0\\\\\implies 9a +b +6 =0~~....(ii)\\\\\\(ii)-(i):\\\\9a+b+6 - 4a-b - 6 = 0\\\\\implies 5a =0\\\\\implies a = 0\\[/tex]
[tex]\text{Substitute a=0 in equation (i):}\\\\4(0) +b +6 =0\\\\\implies b+6 =0\\\\\implies b =-6\\\\\text{Hence, a = 0 and}~ b =-6[/tex]
Check all that apply. If csc=13/12 then:
A. sec =12/13
B. COS =12/13
C. tan =12/5
D. sin =12/13
Answer:
A. sec =12/13×
B. COS =12/13×
C. tan =12/5✓
D. sin =12/13 ✓
Step-by-step explanation:
we know,
using Pythagoras formula,
p=12,h=13 ,b=?
h^2 =p^2 +b^2
b=5
so tan = p/b
=12/5
sin=p/h and cosec= h/p
D. sin =12/13
A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each package of stationery. The selling price is $6.50 per package. How many packages of stationery must be produced and sold each week for the company to generate a profit?
The company will generate a profit if;
more than or equal to
more than
less than or equal to
less than
|blank|packages of stationery are produced and sold each week.
(sorry forgot to add that part in last question, hope this one is better)
Answer:
more than 1100
Step-by-step explanation:
The contribution margin for each package sold is ...
$6.50 -3.00 = $3.50
The number of packages that must be sold to cover fixed costs is ...
3.50n > 3850
n > 1100 . . . . . . . divide by 3.50
The company will generate a profit if more than 1100 packages are produced and sold each week.
_____
Additional comment
If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.
A music streaming service conducted a survey asking subscribers where they most often listen to music. Of the 2,500 responses, 1,468 users stated that they most often listen to music while in vehicles.
Use this information to complete the statement. Round all answers to the nearest hundredth.
The approximate sample proportion is ___, which means that ___% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Answer:
0.59 and 41%
Step-by-step explanation:
Plato/Edmentum
The approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
For this situation, the number of positive responses is 1486 out of a total sample size of 2500.
Substitute these values into the formula for sample proportion, where x is the number of positive responses and n is the sample size.
[tex]\hat p = \frac{x}{n}[/tex]
= [tex]\frac{1468}{2500}[/tex]
= 0.59
So, the approximate sample proportion is 0.59.
Since 0.59 represents the proportion who responded favorably, 1-0.59=0.41, represents the proportion which responded unfavorably.
This value of the same as 41%.
So, 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Therefore, the approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Learn more about the sample proportion here:
https://brainly.com/question/33593792.
#SPJ4
If Sandy memorizes 9 verses every 2 days, how many verses will Sandy memorize in 4,6, and 8 days. Write equivalent ratios to show the answer.
Answer:
4 Days = 18
6 Days = 27
8 Days = 36
4:18
6:27
8:36
Step-by-step explanation:
Answer:
4 days: 18 verses
6 days: 27 verses
8 days: 36 verses
Step-by-step explanation:
If Sandy memorized 9 verses every 2 days then to find how many she can memorize in 4, 6 and 8 days you multiply.
2 days: 9 verses (Multiply 2 times 2 to get how many she can memorize in 4 days. Multiply 2 times 3 to get 6 days. Multiply 2 times 4 to get 8 days. Then multiply the number of verses with the same number you multiplied the number of days.)
4 days: 18 verses
6 days: 27 verses
8 days: 36 verses
A rectangular garden is 24 feet wide. Its length is 5 feet more than twice the width. What is the area of the garden?
Answer:
1272 feet²
Step-by-step explanation:
Breadth (Width) = 24 feet
Length = (24 × 2) + 5
= 48 + 5
= 53 feet
Area = Length × Breadth
Area = 53 × 24
= 1272 feet²
subtract 19/12 - 3/4
[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]
Answer:
[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]
Step-by-step explanation:
[tex] \frac{19}{12} - \frac{3}{4} [/tex]
[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]
[tex] = \frac{76}{48} - \frac{36}{48} [/tex]
[tex] = \frac{76 - 36}{48}[/tex]
[tex]= \frac{40}{48} [/tex]
[tex] = \frac{40 \div 8}{48 \div 8} [/tex]
[tex] = \frac{5}{6}[/tex]
the IQR of the box plot is...
Answer:
IQR = 3
Step-by-step explanation:
Subtract your Q1 and Q3.
Q1 = 3
Q3 = 6
can anyone help me please? i have 14 more minutes to finish this can anyone help?
Answer:
B
Step-by-step explanation:
A is 3-2 which is 1, not 5.
C is 3(2), which is 6, not 5.
D is 6, which is not 5.
-hope it helps
Answer:
B
Step-by-step explanation:
Hey! I really need help with this question:
Giving out brainiest to best answer and 100 points. <3
Please help.
Question: How do I memorize words faster and better? And- how do I study faster and quicker?
Answer:
Idea one, if you want to memorize words fast and better, you can put part of it in your password of something and then try to log in to whatever you set the password on everyday. Idea two, if you want to study fast and quicker you need to spend big half of the day learning what you need to learn and reading books.
Hope this helps!
The best way I could explain this is that everyone has there own pace at doing things. Like me I learn very fast but I have to read over something to memorize them.
The only way I could say is that maybe take more notes and go over them everyday. It helped me a lot when I wanted to learn more and get better grades. Also another way is taking you time at first and when you get use to it you'll be able to read faster learn quicker but you have to go slow first to go fast.
What number is 22.5% of 40?
Answer:
9
Step-by-step explanation:
To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.
22.5% --- 0.225
Then multiply the decimal by the number.
0.225 * 40 = 9
So, 22.5% of 40 is 9
A family bought a house for $386,230 and a car for $59,250. Estimate the family's combined expenses by rounding to the nearest thousand first and then add the rounded numbers.
Answer:
ok first we round them both
386230 is rounded to 386k
59250 is rounded to 59 k
386+59=445
445,000
Hope This Helps!!!
Nelson and Jamie both want to buy a $250 bicycle.
Nelson has saved $136 and Jamie has saved $142. How much
more money do they each need to save?
Nelson and Jamie both want to buy a $250 bicycle. Nelson has saved $136 and Jamie has saved $142. How much more money do they each need to save?
Answer:-Given,Price of the bicycle = $250
Money saved by Nelson = $136
Money saved by Jamie = $142
Now,Nelson = $250 - $136 = $114
Jamie = $250 - $142 = $108
Nelson needs to save $114
Jamie needs to save $108
Find sin(a-B), if cosa=1/3, cosB=1/4, a=(0;180), B(-90;0)
Give me some hint please
A computer can do 1000 operations in 4.5×10^-6 seconds. How many operations can be done by this computer in one hour?
Answer:
0.00027.
Step-by-step explanation:
All you have to do is do the scientific notation then multiply by 60.
Which number comes next in the series? 7, 10, 10, 13, 16, 16,
Answer:
19
Step-by-step explanation:
In the first number, they add three and that number is repeated.
To further explain, the series would continue like this:
7, 10, 10, 13, 16, 16, 19, 22, 22...
Hope this helps! Brainliest would be appreciated!
For a project in her Geometry class, Makayla uses a mirror on the ground to measure the height of her school building. She walks a distance of 13.75 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.2 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.35 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Answer: The answer is 19.04 meters.
Explanation: The explanation is in the image.
A basket of fruit contains 6 apples, 5 oranges, 3 bananas, and 2 limes.Which of the following statements about the fruits in the basket are true?Select the two correct statements.
Answer:
[tex]6 + 5 = 11 + 3 = 14 + 2 = 16[/tex]
[tex]6 \div 5 \div 3 \div 2 = 0.2[/tex]
[tex] 6 \times 5 \times 3 \times 2 = 180[/tex]
Step-by-step explanation:
If its addition add them, multiplication multiply them, division divided them.
Answer:
Step-by-step explanation:
i need help sorry no answer got u
(4 − 3)(−3 + 6) − (2 − )
simplify
show all work
Answer:
(4 − 3)(−3 + 6) − (2 )
1(3)-2
3-2
1
Hope This Helps!!!
which relation is a function? PLEASE HELPPPPP
Step-by-step explanation:
in the first
x =2y
actually I don't think that I can get the last two relations
Given -3, -2,0,3,7 .... Find the next term
Answer:
12
Step-by-step explanation:
n is m% of what? please help its hard.
Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.
Step-by-step explanation:
What is the formula for calculating momentum?
Answer:
(c) p = vm
Step-by-step explanation:
Momentum, represented by 'p', is the product of mass and velocity. It is a vector quantity, just as velocity is a vector quantity.
p = vm
Can y’all please help me with these questions
Answer:
13. STR
14. VY
Step-by-step explanation:
I hope this helps!
The area of any rectangular shape is given by the product of its width and length. If the area of a particular
rectangular garden is given by A = 15x°-35x and its width is given by 5x, then find an expression for the
garden's length.
The expression that can be used to find the
garden's length is l = 5x(x - 7) / 5x where l = (x - 7)
Given:
Area of a rectangle = 15x² - 35x
Width of the rectangle = 5x
Length of the rectangle = l
Area of the rectangle = length × width
15x² - 35x = l * 5x
Factor out the left hand side
5x(x - 7) = l * 5x
Divide both sides by 5x
5x(x - 7) / 5x = l
x - 7 = l
Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x
Learn more about area of a rectangle:
https://brainly.com/question/14137384
After Arianna completed some work, she figured she still had 78.09 pictures to paint. If she completed another 34.23 pictures, how many pictures does Arianna still have to paint? Convert the mixed numbers into decimals before calculating the sum or difference.
Answer:
43.86
Step-by-step explanation:
that's da awnserrr
Find the value of x. Round to the nearest degree.
-1083 +(-3974) what is ans
Answer: -5057 if im wrong let me know
Answer:
-5057
Step-by-step explanation:
Simplify the expression:
-1083 + 3974
-1083 - 3974
-5057
Help help math math math
Answer:
400
Step-by-step explanation:
10 movies * 5 drinks * 8 candy = 400 ways different ways to choose
Answer:
400
Step-by-step explanation:
A rectangular garden is 24 feet wide. Its length is 4 feet more than twice the width. What is the area of the garden?
Answer:
1248
Step-by-step explanation:
w = 24feet
L=2w+4feet that means L= 2*24+4 =52
aera is 24*52=1248