Subtract the [tex]x^2[/tex] terms from each other, then the [tex]x[/tex] terms, then the ones without any [tex]x[/tex] whatsoever.
[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]
First, we'll subtract [tex]9x^2[/tex] from [tex]12x^2[/tex]
[tex]12x^2-9x^2- = 3x^2[/tex]
Result: [tex]3x^2[/tex]
Next, we'll subtract [tex]22x[/tex] from [tex]-8x[/tex]
[tex]-8x - 22x = -30x[/tex]
Result: [tex]-30x[/tex]
Finally, we'll subtract [tex]-46[/tex] from [tex]12[/tex]
[tex]12-(-46) = 12+46 = 58[/tex]
Result: [tex]58[/tex]
Now, we can add these 3 results together.
First, we had [tex]3x^2[/tex], then [tex]-30x[/tex], and finally [tex]58[/tex].
Thus, our subtraction of
[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]
equals
[tex]3x^2-30x+58[/tex]
ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize
Answer:
0.98
Step-by-step explanation:
Prob (Ball target & prize ) = 0.74
Prob (Ball no target & no prize) = 1 - 0.74 = 0.26
Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)
= 1 - (0.26)^3
= 1 - 0.017576
= 0.982424
I need help ASAP
what is the principal if the interest earned is $22 the simple annual interest rate is 2% and the time is one year
Answer:
1,100
Step-by-step explanation:Well first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100
Answer:
not 1,100 its 1100
Step-by-step explanation:
Bank tellers earn a weekly
salary of $200 plus $10 per
hour worked. Rebecca would
like to work at least 20 hours
each week. Use the graph to
model this scenario. How
much money will Rebecca
earn working at least 20
hours each week?
Answer:
2000 dollars
Step-by-step explanation:
how to construct cuboid net? what should be the measurement (around 1-5)?
the measurement should be 4
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.
Given:
Product A requires 7 board feet of wood and 4 lbs of wicker.
Product B requires 5 board feet of wood and 5 lbs of wicker.
Product C requires 4 board feet of wood and 3 lbs of wicker.
Available wood = 3000 board feet
Available wicker = 1400 lbs
Profit margin of A = $35 per unit
Profit margin of B = $42 per unit
Profit margin of C = $20 per unit
To find:
The linear programming problem for given situation.
Solution:
Let the number of units produced of products A, B and C are x, y and z respectively.
Product A Product B Product C Total
Board feet of wood 7 5 4 3000
wicker 4 5 3 1400
Objective function: Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
Board feet of wood : [tex]7x+5y+4x\leq 3000[/tex]
Wicker : [tex]4x+5y+3x\leq 1400[/tex]
Number of units cannot be negative. So, [tex]x,y,z\geq 0[/tex].
Therefore, the required LPP is
Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
[tex]7x+5y+4x\leq 3000[/tex]
[tex]4x+5y+3x\leq 1400[/tex]
[tex]x,y,z\geq 0[/tex]
Help me find the slope of this problem ??
Evaluate and reduce:
3
4
35 - -
F
Enter the number that belongs in the
green box.
Answer:
28
Step-by-step explanation:
35/5 ÷ -3/4
=7÷ (-3/4)
=7× (4/-3)
=(7×4)/-3
=- 28/3
the minus is already placed in the question, that makes the answer 28 without the minus
Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.
Answer:
The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".
Step-by-step explanation:
[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]
The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.
In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):
[tex]V = \iiint dy\,dx\,dz[/tex] (1)
The solid is constrained by the following intervals:
[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]
Then, the triple integral is now described:
[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]
Now we proceed to integrate thrice to obtain the volume:
[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]
[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]
[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]
The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.
We kindly invite to check this question on triple integrals: https://brainly.com/question/19484372
A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?
Answer:
I think that days is the most reasonable, sorry if I'm wrong
Step-by-step explanation:
So if you had 1,000 songs and each was 4 minutes, the amount of minutes would be 4*1000 minutes, or 4000 minutes.
4000 minutes = 240000 seconds
4000 minutes = 2.77777... days
4000 minutes = 0.007610350684932... years
you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.
You may need to delete the comma if you are entering this result into a computer system.
=====================================================
Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
-------------
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.
Solve for V and simplify.
2v+6=13v-4v+62
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the
same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Rita's Drive
y
(4, 288)
280-
Roger's Drive
240
Time (hr)
Distance (mi)
(3,223)
200-
1
65
160-
• (2, 158)
2
130
Distance (mi)
120-
3
195
(1,93)
80-
4.
260
40-
0
0
Time (hr)
Who Had the head start?
Answer:
hello your question is poorly written and the required options to the question is missing
options :
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Answer : Rita had a 28-mile head start
Step-by-step explanation:
From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles
Answer:
a
Step-by-step explanation:
edge 2021
Does anyone know this answer !!!!!!
Answer:
13
Step-by-step explanation:
5x + 25 = 7x - 1
-7x. -7x
-2x + 25 = -1
-25. -25
-2x = -26
-2. -2
x = 13
3(2x + 1) – (4x + 2)
How do i siplify this
Answer:
= 2x + 1
Step-by-step explanation:
A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio
Answer:
7⅓ cups of water
Step-by-step explanation:
Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)
To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:
¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water
¾ : 5½ = 1 : x
[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]
[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]
[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]
[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]
[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]
[tex] \frac{3}{22} = \frac{1}{x} [/tex]
Cross multiply
[tex] 3x = 22 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{22}{3} [/tex]
[tex] x = 7\frac{1}{3} [/tex]
Number of cups of water to add to 1 cup if salt is 7⅓ cups.
can someone help me i don’t get this at all !!!! OLEASEEE
Answer:
A
Step-by-step explanation:
not enough info
Jeannine puts 10% of her paycheck into a savings account. If she makes $500 each week,
how much does she put in her savings account each week?
Answer:
$50
Step-by-step explanation:
What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?
A. y = −½ x − 5
B. y = −½ x − 1
C. y = 2x − 5
D. y = 2x − 1
Answer:
C. y = 2x − 5
Step-by-step explanation:
Given equation of line
2x − y = 3
rewriting the equation in slope intercept form as answer are given slope intercept form
y = 2x - 3
slope intercept form of equation is
y = mx + c
where m is the slope
c is y intercept
thus
slope for y = 2x - 3 when comparing with y = mx + c is 2
now we know slope of two parallel line is same
thus,
the slope of line that is parallel to the line 2x − y = 3
is 2
Let the equation of required line be y = mx + c
where m = 2
thus
y = 2x + c is the new required equation
it passes through the point (2, −1)
using y = -1 and x = 2 in y = 2x + c
-1 = 2*2 + c
c = -1 - 4
c = -5
thus,
equation of required line is option c
y = 2x - 5 ----answer
Please help me solve both of them
Answer:
first one: a,d,e
second one: d
Step-by-step explanation:
pemdas
Answer:
1.- A
2.- A
Step-by-step explanation:
the school library had a used book sale. paperbacks were $2 each and hardcover books were $3 each. there were 54 paperbacks and 163 hardcover books sold.
Please help me, I have no idea how to do this we need to use BEDMAS to solve this. Can anyone help?
Answer:
Total money made is $597, $489 from hardbacks and $108 from paperbacks.
Step-by-step explanation:
$3 x 163= $489
$2 x 54= $108
total $= 3(163)+2(54)
total $= 489 + 108
total $ = 597
Good Morning
Here is a Maths Question for you - I will give Brainliest. Worth 10 points. Also please answer ASAP.
Please show workings as well.
Thanks
Jake
Answer:
13-(5*4)=?
13-20=-7
Step-by-step explanation:
the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.
Answer:
28
Step-by-step explanation:
first term(a)=13
difference(d)=5
t(4)=?
now,
t(4)=a+(n-1)d
=13+(4-1)5
=13+3×5
=28
mariain buys a dress that costs 32 dollars she pays 10 percent sales tax
Answer:
the total cost would be $45.2
PLEASE HELP FAST!!!! THIS IS URGENT!!!
For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.
1) m∠A = _____˚
2) m∠B = _____˚
3) m∠C = _____˚
4) m∠X = _____˚
5) m∠Y = _____˚
6) m∠Z = _____˚
7) Segment AB = ___ units
8) Segment BC = ___ units
9) Segment AC = ___ units
10) Segment XY = ___ units
11) Segment YZ = ___ units
12) Segment XZ = ___ units
Answer:
1. 53°
2. 90°
3. 37°
4. 57°
5. 90°
6. 37°
7. 3
8. 4
9. 5
10. 3
11. 4
12. 5
Step-by-step explanation:
it's alot to explain, if you need an explanation for a certain one, just ask me lol
What is the circumference of a circle that has a radius of 7 m?
Step-by-step explanation:
you you can use two formulas here either pi d or 2 pi r so when you use pie d which change the radius to diameter by multiplying by two so in this case we will multiply 7 by 2 to get 14 then use the formula so is 22/7 * 14 to get 44
PLZ HELP FAST
A cruise ship is currently 15 kilometers away from its port and is traveling away from the port at 15
kilometers per hour. The function y = 15x + 15 relates the number of kilometers y the ship will be from
its port x hours from now. How far will the cruise ship be from its port 3 hours from now?
The cruise ship will be______ kilometers away from port in 3 hours.
Answer:
45
Step-by-step explanation:
Answer: 60 kilometers
Step-by-step explanation:
Plug in your hours:
y = 15(3) + 15
y = 45 + 15
y = 60 kilometers
Hope this helps!
Factorise fully
6x - 8
Answer:
2(3x+ 4)
I hope it helps
Pls mark as brainliest
Circle the true number sentences and rewrite the false sentences to make
4= 4
5 + 1 = 6 + 1
3 + 2 = 5 + 0
6+2=4+4
3+3= 6 + 2
9 + 0 = 7 + 2
8-8 +0
6+3=5+4
3+3=6+2
The given statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Here,
1) 4=4
Statement is true.
2) 5+1=6+1
6≠7
Statement is not true.
3) 3+2=5+0
5=5
Statement is true.
4) 6+2=4+4
8=8
Statement is true.
5) 3+3=6+2
6≠8
Statement is not true.
6) 9+0=7+2
9=9
Statement is true.
7) 8-8=0
0=0
Statement is true.
8) 6+3=5+4
9=9
Statement is true.
9) 3+3=6+2
6≠8
Statement is not true.
Therefore, the statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
#SPJ2
3. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price.
Answer:
4,963.85
Step-by-step explanation:
-8.2, 6, -3.5, 8.2, -5
Least to greatest
_________________________
-3/4, -1, 5/4, 2
Greastest to least
_________________________
-0.5, 1.5, 0, -5, 1.25
Greatest to least
Miguel works for a company that installs and repairs dishwashers. Last week he installed 3 and repaired 4 dishwashers. What is the ratio of Miguel’s total jobs to dishwashers that he repaired?
Answer:
ewhyfreu62
Step-by-step explanation: