Answer:
40(.50) + 200(.25) = 20 + 50 = $70
Step-by-step explanation:
40(.50) + 200(.25) = 20 + 50 = $70
Answer:
$60
Step-by-step explanation:
20 half dollars means that there's 10 dollars in it (because you divide 20 by 2 since 2 half dollars make one dollar)
It takes 4 quarters to make one dollar and if there's 200 quarters then there's 50 dollars in it (200 divided by 4 is 50)
You have 1 quarts of brown stock.
You need 1 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)
I
Answer:
Answer:
you can make 4 servings because 1 quart is 4 cups
MULTIPLE CHOICE CALCULUS
1) An object moves along a line so that its position at time t is s(t) = t^4 - 6t^3 - 2t - 1.
At what time t is the acceleration of the object zero?
A. at 3 only
B. at 0 and 3 only
C. at 0 only
D. at 1 only
2) If f(x) = e^x (sin x + cos x), then f'(x) =
A. 2e^x (cos x + sin x)
B. e^x cos x
C. e^x (cos^2x - sin^2x)
D. 2e^x cos x
Answer:
1) B. at 0 and 3 only
2) D. 2eˣcosx
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringQuadraticsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[cosu] = -u'sinu[/tex]
eˣ Derivative: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]
Step-by-step explanation:
*Note:
Velocity is the derivative of position.
Acceleration is the derivative of velocity.
Question 1
Step 1: Define
s(t) = t⁴ - 6t³ - 2t - 1
Step 2: Differentiate
[Velocity] Basic Power Rule: s'(t) = 4 · t⁴⁻¹ - 3 · 6t³⁻¹ - 1 · 2t¹⁻¹[Velocity] Simplify: v(t) = 4t³ - 18t² - 2[Acceleration] Basic Power Rule: v'(t) = 3 · 4t³⁻¹ - 2 · 18t²⁻¹[Acceleration] Simplify: a(t) = 12t² - 36tStep 3: Solve
[Acceleration] Set up: 12t² - 36t = 0[Time] Factor: 12t(t - 3) = 0[Time] Identify: t = 0, 3Question 2
Step 1: Define
f(x) = eˣ(sinx + cosx)
Step 2: Differentiate
[Derivative] Product Rule: [tex]\displaystyle f'(x) = \frac{d}{dx}[e^x](sinx + cosx) + e^x\frac{d}{dx}[sinx + cosx][/tex][Derivative] Rewrite [Derivative Property - Addition]: [tex]\displaystyle f'(x) = \frac{d}{dx}[e^x](sinx + cosx) + e^x(\frac{d}{dx}[sinx] + \frac{d}{dx}[cosx])[/tex][Derivative] eˣ Derivative: [tex]\displaystyle f'(x) = e^x(sinx + cosx) + e^x(\frac{d}{dx}[sinx] + \frac{d}{dx}[cosx])[/tex][Derivative] Trig Derivatives: [tex]\displaystyle f'(x) = e^x(sinx + cosx) + e^x(cosx - sinx)[/tex][Derivative] Factor: [tex]\displaystyle f'(x) = e^x[(sinx + cosx) + (cosx - sinx)][/tex][Derivative] Combine like terms: [tex]\displaystyle f'(x) = e^x[2cosx][/tex][Derivative] Multiply: [tex]\displaystyle f'(x) = 2e^xcosx[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
what is 5+3x4+7+15= f
Problems
1 point
1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
Your answer
Answer:
7 miles per minute
hope this helped :)
Juan makes 10 casseroles for a party. Each guest will be served 2/3 casserole how many people can be fed?
Answer:
15 guests.
Step-by-step explanation:
Divide 10 by 2/3:
10 divided by 2/3
10/1 multiplied by 3/2
Anwer: 15!
Hope this helps! :)
if the slope of a line is 3 what is the point-slope equation
Answer:
The point-slope form of the equation of the line with slope 3 passing through the point (1, 2)
Step-by-step explanation:
point-slope formula, which states that given a point (x1, y1) and a slope m, the equation of the line can be written as y - y1 = m(x - x1)
y - 2 = 3(x - 1
A park charges $12 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $52 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Answer:
8
Step-by-step explanation:
Evaluate the line integral, where C is the given curve. (x 6y) dx x2 dy, C C consists of line segments from (0, 0) to (6, 1) and from (6, 1) to (7, 0)
Answer:
[tex]\mathbf{\int _c (x+6y)\ dx + x^2 \ dy = \dfrac{91}{6}}[/tex]
Step-by-step explanation:
The integral of the curve is given as:
[tex]\int (x +6y) \ dx +x^2 \ dy[/tex]
Where the line segment from (0,0) to (6,1) is:
0 < x < 6 and [tex]y = \dfrac{x}{6} \implies dy = \dfrac{dx}{6}[/tex]
Thus;
[tex]\int ^{6,1}_{0,0} (x+ 6 * \dfrac{x}{6}) \ dx + \dfrac{x^2*dx}{6 } = \int^6_0 (x+x+\dfrac{x^2}{6}) \ dx[/tex]
[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \int^6_0 (2x +\dfrac{x^2}{6}) \ dx[/tex]
[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \begin {bmatrix} \dfrac{2x^2}{2}+\dfrac{x^3}{18} \end {bmatrix}^6_0[/tex]
[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \begin {bmatrix} x^2+\dfrac{x^3}{18} \end {bmatrix}^6_0[/tex]
[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \begin {bmatrix} (6)^2+\dfrac{(6)^3}{18} \end {bmatrix}[/tex]
[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx = \begin {bmatrix} 36+12 \end {bmatrix}[/tex]
[tex]\int^6_0 (x+x+\dfrac{x^2}{6}) \ dx =48 --- (1)[/tex]
Similarly; at (6,1) to (7,0)
[tex]\implies 6 \leq x \leq 7 \ and \ y = -x +7[/tex]
Thus; the integral can be computed as :
[tex]\int ^{(7,0)}_{(6,1)} \ (x+6(-x+7)) \ dx + x^2 (-dx) = \int^7_6 (-5x +42 -x^2) \ dx[/tex]
[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{5x^2}{2}+ 42x -\dfrac{x^3}{3} \end {bmatrix}^7_6[/tex]
[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{5(7^2-6^2)}{2}+ 42(7-6) -\dfrac{(7^3-6^3)}{3} \end {bmatrix}[/tex]
[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{5(49-36)}{2}+ 42(1) -\dfrac{(343-216)}{3} \end {bmatrix}[/tex]
[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{5(13)}{2}+ 42 -\dfrac{(127)}{3} \end {bmatrix}[/tex]
[tex]\int^7_6 (-5x +42 -x^2) \ dx= \begin {bmatrix}- \dfrac{-195+252-254}{6}\end {bmatrix}[/tex]
[tex]\int^7_6 (-5x +42 -x^2) \ dx= - \dfrac{-197}{6} --- (2)[/tex]
By adding (1) and (2) ; we have:
[tex]\int _c (x+6y)\ dx + x^2 \ dy = 48 + (-\dfrac{197}{6})[/tex]
[tex]\int _c (x+6y)\ dx + x^2 \ dy = (\dfrac{288-197}{6})[/tex]
[tex]\mathbf{\int _c (x+6y)\ dx + x^2 \ dy = \dfrac{91}{6}}[/tex]
3. The temperature was 8°F. It dropped so that the temperature was 0°F.
Answer:
is this a question?
Step-by-step explanation:
yes it dropped 8°F
What are the first 4 terms of an arithmetic sequence with a pattern of -6 if the first term is 76
Answer:
76, 70, 64, 58.
Step-by-step explanation:
By pattern I guess you mean common difference.
The first term is 76 so the second is 76-6 = 70, then we have 70-6 = 64 and so on.
The first 4 terms in an arithmetic sequence are 70, 64, 58, 52.
What is an arithmetic sequence?
An arithmetic sequence is a sequence where every two consecutive terms have the constant difference between them.
Here the first term = 76 and the common difference is = -6.
Therefor,
The 2nd term is = 70.
The 3rd term is = 64.
The 4th term is = 58.
The 5th term is = 52.
Learn more about arithmetic sequence: https://brainly.com/question/13989292
#Tag #SPJ2
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Which intervals is this function graph decreasing? Select 2 answers. *
[ -5.5, -5]
[ -5, -4]
[ -3, 1]
[1,2]
Choice B. [-5, -4]
Choice D. [1, 2]
===================================================
Explanation:
We're looking for portions when the graph goes downhill when we move from left to right.
The first portion is from x = -5 to x = -4. So we write [-5, -4] which represents [tex]-5 \le x \le -4[/tex]
The second portion is [1, 2] which goes downhill since the interval starts at x = 1 and stops at x = 2.
The portions are highlighted in the diagram below.
As you can see, we only care about the x values for any given interval. The y values don't matter as long as they decrease along the interval.
The art club decides to sell calendars as a fundraiser. The initial cost to
make the calendars is $605 for equipment with an additional materials cost
of $2.50 per calendar. If the club plans to sell the calendars for at least $8
a piece, how many would they need to sell to break even?
Answer:
I got 106 calendars
Step-by-step explanation:
605 divided by 2.50 = 242. Next you have to add what you got to the initial cost. Then we get 847. Next you have to divide this by 8 and round up, and i got 106. I might be wrong XD
They need 110 calendars to reach $1200.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The initial cost to make the calendars is $605 for equipment with an additional materials cost of $2.50 per calendar.
We have to raise at least 1200$.
let x be the number of calendars.
Then, the inequality is,
8x - 2.5 x + 600 ≥ 1200
Solving we get,
5.5x≥ 600
x ≥ 109.09
x ≥ 110
Learn more about Inequality here:
https://brainly.com/question/29474561
#SPJ5
This is the answer for your question
Answer:
this is the right answer ..ok
Sarah accepted a new job at a company with a contract guaranteeing annual raises.
Sarah's salary after working for n years can be determined using the equation
S = 90000 + 3500n. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
The answer is below
Step-by-step explanation:
A linear equation is in the form of y = mx + b, where y is a dependent variable (that is it depends on other variable), x is an independent variable (that is it does not depend on any variable), m is the slope (rate of change) and b is the value of y at x =0
Given that S is salary, n is number of working years. It is given by:
S = 90000 + 3500n
the slope = 3500
The equation means that Sarah's beginning salary is 90000 and the salary increases by 3500 each year
Kelly received a 35% discount on the purchase of a $320 bicycle. What was the amount of the discount?
$432.00
$208.00
$112.00
$35.00
Answer:
$112
Step-by-step explanation:
$320 X .35= $112
Select the three formulas that can be used to describe complementary events.
A. P(E) + P(E)= 1
P(E)
O B. = 1
P(E)
I c. P(E)= 1-P(E)
1
D. P(E)=
P(E)
IE. P(E)= 1 -P(E)
1
F. P(E) = P(E)
O G. P(E)-P(E) = 1
Complete question is;
Choose the three formulas that can be used to describe complementary events. Select the three formulas that can be used to describe complementary events.
A. P(E') = 1 - P(E)
B. P(E) - P(E') = 1
C. P(E) + P(E') = 1
D. P(E) = 1/P(E')
E. P(E) = 1 - P(E')
F. P(E)/P(E') = 1
G. P(E') = 1/P(E)
Answer:
Options A, C & E
Step-by-step explanation:
For the probability of an event E which is denoted by: P(E).
In complementary events, the complement of E is denoted by: P(E').
Now, the complement means the outcome that Event E does not occur.
This means that the sample space is 1.
Thus;
P(E) + P(E') = 1
It can be rewritten as;
P(E') = 1 - P(E)
It can also be written as;
P(E) = 1 - P(E')
The correct options are; A, C & E
Answer:
wqhyrvy55
Step-by-step explanation:
What is the value of the variable z and the measure of Angle B?
PLEASE HELP ME I DONT KNOW THE ANSWR!! 25 POINTS!!!!!!!!!!!!!!!
which of the following is an equation of the line that passes through the point (2,2) and is parallel to the graph of the equation y = 3x-1?
Answer:
y=3x-4
Step-by-step explanation:
2=3(2)+b
2=6+b
-4=b
parallel lines have the same slope, so 3/1 would be slope
y=mx+b
y=3x-4
There are 7 times as many dogs as cats. If the total number of dogs and cats is 32, how many dogs are there?
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
Answer:
Please answer my questions you'll get points
Answer:
The smaller angle is 39, the other is 51
Step-by-step explanation:
Xavier saved money to purchase a bike that originally cost $250, not including tax. The store discounted the bike by 20%. What is the discounted price he will pay for the bike, not including tax?
Question 1 options:
$50.00
$300.00
$270.00
$200.00
HELP I WILL GIVE BRAINLIEST
Need help on this will give brainlist
Answer:
53
Step-by-step explanation:
Alternate interior angles are the same value.
5.35
2.2 Show your work please!
Answer:
what lesson in math is this??
Micah drew a picture of a flag on graph paper. He will color the flag red and blue.
What is the area, in square units, of the part of the flag Micah will color red?
pls help!
Answer:
The area of Micah's flag, in square units, would be 44² units.
A classroom of children has 17 boys and 19 girls in which five students are chosen to do presentations. In how many ways can the five students be chosen so that more boys than girls are selected
Answer:
167688 ways
Step-by-step explanation:
Given that:
Number of boys = 17 &;
Number of girls = 19
The number of ways that five students can be chosen such that more boys than girls are selected are:
The ways of choosing = 5 boys 0 girls + 4 boys 1 girl + 3 boys 2 girls
The ways of choosing = [tex]^{17}C_5 +( ^{17}C_4 \times ^{19}C_1} )+( ^{17}C_3 + ^{19}C_2})[/tex]
The ways of choosing = [tex]\dfrac{17!}{5!(17-5)!} + \begin {pmatrix} \dfrac{17!}{4!(17-4)!} \times \dfrac{19!}{1!(19-1)!} \end {pmatrix} + \begin {pmatrix} \dfrac{17!}{3!(17-3)!} \times \dfrac{19!}{2!(19-2)!} \end {pmatrix}[/tex]
[tex]=\dfrac{17!}{5!(12)!} + \begin {pmatrix} \dfrac{17!}{4!(13)!} \times \dfrac{19!}{1!(18)!} \end {pmatrix} + \begin {pmatrix} \dfrac{17!}{3!(14)!} \times \dfrac{19!}{2!(17)!} \end {pmatrix}[/tex]
[tex]=\dfrac{17*16*15*14*13*12!}{5!(12)!} + ( \dfrac{17*16*15*14*13!}{4!(13)!} \times \dfrac{19*18!}{1!(18)!} ) + ( \dfrac{17*16*15*14!}{3!(14)!} \times \dfrac{19*18*17!}{2!(17)!} )[/tex][tex]=6188 + ( 2380\times19 ) + (680 \times171)[/tex]
= 167688 ways
Using the combination principle, the number of ways of selecting 5 students such that the number of boys is greater the number of girls selected ls 167688 ways.
Number of boys = 17Number of girls = 19Number of selections to be made = 5
In other to choose more boys than girls :
5 boys and 0 girls4 boys and 1 girl3 boys and 2 girlsUsing the combination relation :
(17C5 × 19C0) + (17C4 × 19C1) + (17C3 × 19C2)
(6188 × 1) + (2380 × 19) + (680 × 171)
(6188 + 45220 + 116280)
= 167688 ways
Therefore, the Number of ways of making the selection is 167688 ways
Learn more :brainly.com/question/18796573
SOLVE FOR X PLEASE
10x+50+80=180
Answer:
x= 5
Step-by-step explanation:
10(5)+50+80=180
Multiply the 5 by 10
10*5=50
50+50+80=180
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=5
Step-by-step explanation:
10x+50+80=180
combine 10x(50+80)=180, 10x+130=180
subtract 10x(130-130)=(180-130), 10x=50
divide 10 by 50 to find x=5
hope the step by step helps
Explain the difference between a thermal conductor and a thermal insulator.
Answer:
thermal conductors conduct/ transfer heart
thermal insulators contain/prevent the transfer of heat
Let sin(2x) = cos(x), where 0° ≤ x < 180°. What are the possible values for x?
30° only
90° only
30° or 150°
30°, 90°, or 150°
Double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
So rewrite the equation as
sin(2x) = cos(x)
2 sin(x) cos(x) = cos(x)
2 sin(x) cos(x) - cos(x) = 0
cos(x) (2 sin(x) - 1) = 0
There are two cases,
cos(x) = 0 or 2 sin(x) - 1 = 0
cos(x) = 0 or sin(x) = 1/2
In the interval 0º ≤ x < 180º, we have cos(90º) = 0 and sin(30º) = sin(150º) = 1/2, so the possible values are 30º, 90º, or 150º.
Answer:
D. 30°, 90°, or 150°
Step-by-step explanation:
got it right on edge :)
Which of the following relations has a domain of {-4, -2, 1)?
O {(1, 2), (-2, 3), (4, 6)}
O {(1, 2), (-2, 2), (-2, 4), (4, -4)}
O {(1,2), (-2, 2), (-2, 4), (-4,4)}
O None of the other answers are correct
O {(-1, 2), (4,3).(-2, 6), (-2,3)}
Answer:
Third answer option
{(1,2), (-2, 2), (-2, 4), (-4,4)}
Step-by-step explanation:
If the Domain is the set = { -4, -2, 1}, we need a relationship that shows pairs with first coordinates as described below:
(-4, ...) , (-2, ...) and (1, ...)
which we find in the third option shown:
{(1,2), (-2, 2), (-2, 4), (-4,4)}
152 is the product of hectors age and 8
Answer:
If its asking for hectors age, then its 152/8=19
Step-by-step explanation:
Answer:
144
Step-by-step explanation:
152-8
