Answer:
105 quarts an hour
Step-by-step explanation:
divide 210 by 2
How can you diffrentiate "less" and "less than"? Can these terms be used in mathematics? How?
Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply
Answer:
A. the domain is all real numbers. and
B.the y-intercept is 3
x
X
You put $1200 into an investment yielding 11%
annual interest; you left the money in for two
years. How much interest do you get at the end
of those two years?
Answer:
$1864
Step-by-step explanation:
11% of 1200=132
132×2(years)=264
1200+264=1864
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
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:
Select the correct answer.
The slope of the function on the left is multiplied by p, and is added to the yIntercept to arrive at the function on the right. Which of the
following are the values for p and q?
A. p = -2 and q = -2
В. p=-2 and q = -4
C. P = 2 and q = -3
D. P = -2 and q = -3
Answer:
p = -2
q = -3
Step-by-step explanation:
Let us get the equation of the two graphs
General equation form is;
y = mx + b
m is slope and b is the y-intercept
For the first one;
y intercept is 1
So the equation is;
y = mx + 1
The x-intercept is -2
the value of y at the x-intercept is 0
0 = -2m + 1
1 = 2m
m = 1/2
so;
1/2 * p
p/2
q added to y-intercept;
q + 1
Let us get the equation of the second plot
y-intercept is -2
Equation is;
y = mx - 2
We can get slope using x-intercept
x-intercept is -2
0 = -2m - 2
2m = -2
m = -1
So;
p/2 = -1
p = 2 * -1 = -2
For the value of q;
q + 1 = -2
q = -2-1 = -3
HELP NOW URGENT PLEASE!!
Last month you spent $30 on clothing. This month you spent 140% of what you spent last month. How much did you spend this month?
Answer:
42
Step-by-step explanation:
Answer: you spent 63
Step-by-step explanation:
1 2 ÷ 3 2 1 ÷3 need help lol
Answer:
0.012461059
Step-by-step explanation:
Answer:
g00gle says 0.01246105919
Step-by-step explanation:
Use the Distributive Property to expand this expression.
z(–6.4 – 3.5x)
Answer:
[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]
Hence, Option 'C' is true.
Step-by-step explanation:
Given the expression
[tex]z\left(-6.4\:-3.5x\right)[/tex]
Apply distributive law: [tex]a\left(b-c\right)=ab-ac[/tex]
Here: [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]
so the expression becomes
[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]
[tex]=-6.4z-3.5zx[/tex] ∵ [tex]+\left(-a\right)=-a[/tex]
Therefore,
[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]
Hence, option 'C' is true.
7
2
2 2 3
8
0
58
9
3 7
10
0
Answer:
Wut...?
Step-by-step explanation:
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
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
The ordered pair (3,9) is a solution to the following system of equations.
y = x + 6
y = 2x + 3
A) True
B) False
Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
Stacy spent £20 on ingredients for bread.
She made 18 loaves and sold them for £1.40 each.
Calculate her percentage profit.
Answer:
Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.
Step-by-step explanation:
18 loaves of bread × £1.4 = £25.2 Round it up = £25
£25.20 - £20 = £5.20 Round it up = £5
Stacy Made about £5 as profit.
daily wages of a factory workers are recorded as
C.I
12-126 127-132. 133-138. 139-144
Freq.
5. . 27. 20. 18
the lower limit of model class is. [. ]
a) 127
b 126
c) 126. 5
d) 133
Answer:
I think the answer is c I hope it helps I not a 100 percent
Answer:
*the hero (me) enters into the battlefield*
Step-by-step explanation:
i am here to fight sharon she is given time for surrender or be get defeated by me !!!!
uk u can never winnnn with me
Need help please asap
Answer:
A
Step-by-step explanation:
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:
Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP
HELP!!!!! 50 POINTS!!
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7)
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
(Picture in file below)
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)
Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step
Answer:
Add –3 to both sides
Step-by-step explanation:
edge 2021
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°
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.
Fill the empty slots by dragging tiles from the left to show the Solve the two-step equation and identify the steps.
next step for solving the equation.
Solve the two-step equation and identify the steps. 2= -7/4+1/4x
1.______ 7/4 to both sides.
2.______ by 4
The solution is X =_____
Answer: 1. Add 2. Multiple both sides 3. 15
Step-by-step explanation: hope this helps
Answer: 2 = − 7
4
+ 1
4
x
1.
✔ Add
Start Fraction 7 over 4 End Fraction to both sides.
2.
✔ Multiply both sides
by 4.
The solution is x =
✔ 15
.
Step-by-step explanation: i just did it on ed
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.
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.
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.
Erica is a police officer. She earns $24 an hour. Sometimes she works extra shifts and earns time and a half for each hour she works over 40. Erica is paid biweekly. Last week she worked 44 hours and this week she worked 52 hours. Calculate Erica's Gross Pay
Answer:
Gross pay = $2496
Step-by-step explanation:
Erica earns $24 an hour. She works extra shifts and earns time and a half for each hour.
Her extra earning starts over 40 hours.
Therefore, her extra earning above 40 hours = 1.5 × 24
= $36 per hour
She worked for 44 hours in last week, her total earnings for last week
= (40 × $24) + (4 × $36)
= 960 + 144
= $1104
She worked for 52 hours this week, her total earnings for this week
= (40 × $24) + (12 × $36)
= 960 + 432
= $1392
Since, Erica was paid biweekly,
Her gross income = $1104 + $1392
= $2496
2.) Mackenzie uses 1/5 of a cup of sugar for 1/3 of a gallon of lemonade.
How many cups of sugar would she need for a whole gallon of lemonade?*
Answer:
3/5 cups of sugar
Step-by-step explanation:
If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.
Answer:
3/5 cup of sugar good luck