Step-by-step explanation:
[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]
please answer this questions fast
Answer:
5. 216, 1416
6. 448.5 g
Step-by-step explanation:
5.
Price of 1 item: 1200
GST = 18%
18% of 1200 =
= 0.18 * 1200
= 216
Amount of tax: 216
Total price = original price + GST
Total price = 1200 + 216 = 1416
6.
Weight of 1 item: 17 1/4 g
Weight of 26 items = 26 * 17 1/4 g
26 * 17.25 g = 448.5 g
Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these
Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
The manager of an accounting department wants to form a two
person advisory committee from the 18 employees in the department. In how many ways can the manager do this? Pls show work.
Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:
[tex]C (N, K) = \frac{N!}{(N-k)!*K!}[/tex]
Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:
[tex]C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153[/tex]
There are 153 different ways in which the manager can do this.
The length of Dwight's garde is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest measurement Dwight could have made. Show your work.
Given :
The length of Dwight's garden is 12.5 meters.
Dwight measured it but made a measurement error of 6%.
To Find :
The lowest and highest measurement Dwight could have made.
Solution :
Error in length measuring is :
[tex]\Delta \ l = 12.5\times 0.06 \\\\\Delta \ l = 0.75\ m[/tex]
Therefore, the lowest and highest measurement he could have is 12.5 - 0.75 = 11.75 meters and 12.5 + 0.75 = 13.25 meters.
Select all that apply.
Which of the following represent the rule y = x + 2?
Answer:
the first option and the 4th option are the answers the other options are wrong
Help plssss plsss???????
Nita gana $ 20 por semana paseando al perro de su vecino. También gana $ 2 por cada rosa que vende de su jardín de rosas. Nita quiere que sus ingresos semanales sean de al menos 50 dólares. Cree una desigualdad que represente correctamente la situación de Nita arrastrando y soltando los tres valores en los espacios apropiados provistos. X es la cantidad de rosas que Nita necesita vender.
Answer:
La situación está representada por el siguiente sistema:
[tex]y = 20+2\cdot x[/tex]
[tex]y \ge 50[/tex]
Donde:
[tex]x[/tex] - Cantidad de rosas vendidas semanalmente.
[tex]y[/tex] - Ganancia semanal, medida en dólares.
Step-by-step explanation:
De acuerdo con el enunciado, Nita gana una cantidad fija cada semana por pasear al perro de su vecino, con un monto de $ 20, mientras que gana en función de la cantidad de rosas a vender, con un valor unitario de $ 2. Si ella desea ganar al menos $ 50, por tanto, se requiere construir el siguiente sistema, conformado por una ecuación y una inecuación:
[tex]y = 20+2\cdot x[/tex] (1)
[tex]y \ge 50[/tex] (2)
Donde:
[tex]x[/tex] - Cantidad de rosas vendidas semanalmente.
[tex]y[/tex] - Ganancia semanal, medida en dólares.
Five times a number decreased by six is 29
Answer:
Let x be the number
"five times a number"
5x
"six less than five times a number"
5x-6
"is at least 29" >29 (greater than or equal too)
5x - 6 > 29
5x > 35 (add +6 to both sides retains the dense if the inequality)
x>7 (divide both sides by +7 retains the sense of Inequailty)
Check:
Is 5(7) - 6 > 29?
35 - 6 > 29 ?
29 > 29? yes, they are equal.
Try 50:
Is 5(50) - 6 > 29 ?
250 - 6 > 29?
244 > 29 ? yes
Answer:
5x - 6 = 29
A candy company makes 10,038 pieces of candy a day. If 42 pieces are put into a single bag, how many bags of candy are made in a day?
Answer:
239 bags
Step-by-step explanation:
10,03842 per bag10,038/42=239
This year there are 260 students in the 7th grade. Next year the school expects to have 290 students. What is the percent increase?
Answer:
about 11.5
Step-by-step explanation: i think this is right
Answer:
11.538%
Step-by-step explanation:
290 - 260 /260 x 100% = 11.538
A shop owner offered a 20% discount off the regular price of a lamp. The amount of the discount is $25. What is
the regular price of the lamp?
Can somebody please solve this problem. I need help
Answer:
X=4
Step-by-step explanation:
4(x+12) = 19x-12
4x+48= 19x-12
sub 4x from both sides
48= 15x-12
add 12 to both sides
60=15x
divide 15 from both sides
and 60/15 =4
Answer:
[tex]4(x + 12) = 19x - 12 \\ 4x + 48 = 19x - 12 \\ 4x - 19x = - 12 - 48 \\ - 15x = - 60 \\ x = \frac{60}{15} \\ x = 4[/tex]
Given: angle 1 and angle 2 are complementary , angle 2 = 74 degrees Prove: angle 2 = 16 degrees
Answer:
I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?
Step-by-step explanation:
Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out
what is the measure of a given that b measures 100????
Step-by-step explanation:
Angle at Center = 2 * Angle at Circumference
Therefore B = 2A.
When B = 100°, A = 100°/2 = 50° (B),
When A = 48°, B = 2(48°) = 96°. (C)
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
Solve for x and y if this is what’s given to you
Answer:
x=7; y=21
Step-by-step explanation:
These angles are congruent so:
7y-3=2x+4
We need to find x, and AB and DC are congruent, so:
3x+3=6x-18
Add 18 to both sides:
3x+21=6x
Subtract 3x from both sides:
3x=21
Divide by 3:
x=7
Substitute:
7y-3=2(7)+4
Simplify Like-Terms:
7y-3=18
Add 3 to both sides:
7y=21
Divide both sides by 7:
y=21
Does anyone get this?
Please help! I will give brainliest to person who answers correctly :) Which ordered pair is the solution to the system of equations? −5x−3y=12 y=x−12 (−6, 6) (0, −4) (1, −11) (3, −9)
Answer:
(3,-9)
Step-by-step explanation:
The given equations are :
−5x−3y=12 (1)
y=x−12 ....(2)
Put the value of y from equation (2) in equation (1)
−5x−3(x-12)=12
-5x-3x+36 = 12
Taking like terms together
-5x-3x = 12-36
-8x = -24
x = 3
Put the value of x in equation (2)
y=3−12
y = -9
Hence, the solution of the above equations is x = 3 and y = -9 or (3,-9).
Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?
Answer:
Alyssa=225
Eric=680
Step-by-step explanation:
The money Alyssa has $660 and Eric has $245.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Alyssa has $75 less than three times Eric.
Let $x be the money Eric had.
Then Alyssa has 3x-75
Together they have $905.
So, x+3x-75=905
4x=905+75
4x=980
x=980/4
x=$245
Money Alyssa has 3x-75
= 3×245-75
= 735-75
= $660
Therefore, money Alyssa has $660 and Eric has $245.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
what is 15^4/15 simplified?
Answer:
15^3
Step-by-step explanation:
Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:
15^4 / 15 = 15^3
John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole ham sandwich and his friend ordered half of a ham sandwich. Their total bill is $12.54. What equation can you use to find the cost c of a sandwich, and what is the value of c
Answer:
a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26
Step-by-step explanation:
a. What equation can you use to find the cost c of a sandwich
Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.
total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,
$12.54 = $ 1.65 + c/2 + c
b. What is the value of c
We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c
collecting like terms, we have
$12.54 - $ 1.65 = c/2 + c
$ 10.89 = 3c/2
multiplying through by 2, we have
$ 10.89 × 2 = 3c
$ 21.78 = 3c
dividing through by 3, we have
c = $ 21.78/3
= $ 7.26
I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!!
A.) SU = 22 cm
B.) SU > 22 cm
C.) There is not enough information to determine the relative length.
D.) SU < 22 cm
Answer:
SU < 22 cm
Step-by-step explanation:
30 POINTS PLEASE HELP ME OUT
Area and __________ are impacted by a __________ in dimensions.
Hey there!
The answer to your question is volume and change
The formula for volume is length x width x height, and if these change, the volume will change.
Hope it helps! Let me know if you need more help!
Can someone please help? I need to get this doe so I can do something important
Answer:
9. 4/1 or 4. 10. 0
Step-by-step explanation:
9.
Slope- y2-y1/x2-x1
11-7/4-3= 4/1 or 4
10.
Slope-y2-y1/x2-x1
7-7/5-0= 0/5
When 0 is the numerator of the slope, then the slope is 0.
Seems easy but this has my brain hurting.
Answer:
E and D
Step-by-step explanation:
Just make a mental line which these letters connect to each other.
If Alberto's bill is $45.47 with tax. And he wants to leave a 20% tip. How much tip will he leave? * round to the nearest dollar.
Answer:
i tried but all i got was like 80 percent
Step-by-step explanation:
please help me with these two problems i will fail if i dont turn in this assignment
Answer:
Number 4 is neither, number 6 is perpendicular
Step-by-step explanation:
Answer:
4) Neither
Same y intercept means intersecting and intersecting is not an option
6) Perpedicular
A perpendicular line has a slope the reciprocal of each other like in this case
0.4= 2/5, 5/2=2.5
solve for x and find m∠FGH
Answer:
x° = 11°
Z FGI = 60°
Step-by-step explanation:
If GH bisects Z FGI
then Z FGH = Z HGI
or, (3x - 3)° = (4x - 14)°
or, 3x° - 4x° = - 14° + 3°
or, x° = 11°
Z FGI = 33° - 3° + 44° - 14°
= 60°
If you layered 100000 cubes to make one big cube what would the dimensions of the big cube
Answer:
The dimensions of the cube would be:
Base: 46,42 units approx.Height: 46,42 units approx.Width: 46,42 units approx.Step-by-step explanation:
For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):
[tex]\sqrt[3]{100.000} = 46,41588834[/tex]How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:
Volume of the cube= base * height * width Volume of the cube= 46,41588834 * 46,41588834 * 46,41588834 Volume of the cube= 100.000In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.