Answer:
3 comic books and 4 cups of coffee
Step-by-step explanation:
8 × 3 = 24
4 × 4 = 16
16 + 24 = 40
What number is 73 1/4th of
Step-by-step explanation:
70x4=280
12x4=48
48+280=328
The slope of a line is – 3, and a point on the line is (4, -1).
What is the equation of the line expressed in slope-intercept form?
Answer:x=6
Step-by-step explanation:
Restaurants often slip takeout menus under Rosa's apartment door. So far, Rosa has collected 15 menus, including 5 for Indian food. Considering this data, how many of the next 18 menus slipped under Rosa's door should you expect to be from Indian restaurants?
Answer:
https://e-eduanswers.com/mathematics/question21901004
Step-by-step explanation:
the answer is in that website
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=38°, and RS = 1.2 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
1.9
Step-by-step explanation:
What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?
y=1/3x-3
y=-1/3x+3
y=3x+9
y=-3x+3
Answer:
Step-by-step explanation:
the correct answer of the question is y=x/3-3 b.c
m1.m2 = -1 But m1=-3
so -3.m2=-1
-3.m2/-3=-1/-3
m2=1/3 therefore
Y=1/3x-3
What is the resulting integral?
Answer:
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Integration Constant C
U-Substitution
U-SolveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]
Step 2: Identify Variables
Find the variables u-solve using u-substitution.
U-Substitution
[tex]\displaystyle u = 1 + \sqrt{x}[/tex]
[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]
U-Solve
[tex]\displaystyle x = (u - 1)^2[/tex]
[tex]\displaystyle dx = 2\sqrt{x}du[/tex]
Step 3: Integration
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify: [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve: [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify: [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify: [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply: [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute: [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine: [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
can you help me with this
Answer:
A=168 ft²
Step-by-step explanation:
18×8=144
0.5*8*6=24
24+144=168
Triangle A'B'C'is the result of reflecting triangle ABC across the line l
Choose all answers that apply
a. BC and B'C' are both perpendicular to the y-axis
b. <B and <B' have the same measures
c. The perimeters of ABC and A'B'C' are the same
D. None of the above
9514 1404 393
Answer:
b, c
Step-by-step explanation:
Reflection across a line is a "rigid" transformation, so linear measures and angle measures remain unchanged. (b and c are true statements)
Reflection across a line skew to the y-axis will mean that any segment originally perpendicular to the y-axis will not be after the reflection. ('a' is not a true statement)
Please round to nearest hundredth and give explanation.
Answer:
I think PR = 20 but I'm not sure
Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5.7% over the previous year. Write an exponential function f(x) that models the tons of cherries produced by cherry hill orchards x years after 2012
A. f(x) = 500(1.057)^x
B. f(x) = 50(1.057)^x
C. f(x) = 500(0.057)^x
D. f(x) = 500(1.57)^x
Answer: A, f(x) = 500(1.057)^x
If point M (4, 6) is rotated 90 degrees clockwise around the origin, what are the coordinates of the copy for point M?
Answer:
6,-4
Step-by-step explanation:
The new position of point M (h, k) will become M’ (k, -h).
Answer:4,-5
Step-by-step explanation:
Find slope of (2,3) and (-5,6).
Answer:
Slope is 3/-7
Step-by-step explanation:
[tex]slope = \frac{6 - 3}{ - 5 - 2} = \frac{3}{ - 7} [/tex]
5 + (1/7)b = -2
what is b?
Answer: b=-1
Step-by-step explanation:
[tex]5+\frac{1}{7}b=-2\\\\5+\frac{1}{7}b=-2\\\\\frac{1}{7}b=-7\\\\b=-1[/tex]
ill give you brainliest
Answer:
376.8 ft²
Step-by-step explanation:
that is the correct answer for you friend
A company is placing an order for boxed lunches for a meeting of its executive board. There are 10 members of the board and each will have one lunch. The company is getting the lunches from a restaurant that has 25 varieties of boxed lunches.
Required:
a. How many different ways are there for the company to place the lunch order for the 10 lunches?
b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?
Answer:
a) There are 93,367,432,000,000 ways to place the lunch order.
b) There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
a. How many different ways are there for the company to place the lunch order for the 10 lunches?
For each of the 10 lunches, there are 25 options. So
[tex]25^10 = 93,367,432,000,000[/tex]
There are 93,367,432,000,000 ways to place the lunch order.
b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?
The order is important, which means that the permutations formula is used to solve this question. So
[tex]P_{(25,10)} = \frac{25!}{(25-10)!} = 11,861,676,000,000[/tex]
There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.
How would you explain 0 (prime and composite wise)?
Answer: 0 = NOTHING
Step-by-step explanation:
How do you find out if a number is an integer or not?
Answer:
Integers are any whole number negative or positive
Step-by-step explanation:
Plz help! Pretty easy problems!
Answer:
The first is 9 sq.units
The second is 8 sq units
The third is 180mm squared
Step-by-step explanation:
(this is a practice question)
Answer:
<GHI = 135 degrees
Step-by-step explanation:
(3x + 12) + (x + 4) = 180
4x + 16 = 180
4x + 16 - 16 = 4x
180 - 16 = 164
4x = 164
4x / 4 = x
164 / 4 = 41
x = 41
3 * 41 + 12
3 * 41 = 123
123 + 12 = 135
The function y=(-1/2)x - 6 was the result of shifting the graph S units down. Find the following.
a.vertex
b.axis of symmetry
c.roots
Answer:
X is 9
axis 2 north
roots 2/1
Calculate: Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
Answer:
29
Step-by-step explanation:
P=a+b+c=11+5+13=29
Indicate whether the function represents an exponential growth or decay.
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
An object with a mass of 66.5 kg accelerates 22.3 m/s when
an unknown force is applied to it. What is the amount of the
force?
Answer:
Step-by-step explanation:
F=ma
F=66.5kg(22.3m/s)
F=1482.95N
Find the solution to the system of equations.
3x + 2y - 4z= 3
3
x - 4y + 2z= -11
2x + y - 2z = 2
A. x = 3, y = 2, z = 4
B. x = 1, y = 4, z = 2
O C. x = 6, y=-3, z = -4
O D. x= 1, y = 6, z = 2
Answer:
B.
[tex]x = 1 \\ y = 4 \\ z = 2[/tex]
The solution to the system of equations is x-1, y = 4 and z= 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the equation
3x + 2y - 4z = 3
x -4y +2z = -11
2x + y + 2z = -11
Solving the above equation we get
3x + 2y - 4z - 3x + 12y + 6z = 3 + 33
14y + 2z = 36
and, 2x - 8y + 4z - 2x - y - 2z = -22 + 11
-9y + 2z = -11
So, y =4 and z = 2
and, x = 1
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ5
Sydney brings $200 to the mall. She buys a $ 70 watch and some shirts for $40 each.
Which inequality represents the situation?
Also determine how much money Sydney has left after she buys 2 shirts?
Question 2 options:
40x+70≤200, 50
40x+70<200, 120
110x>200, 128
40x+70≥200, 130
Answer:
A
Step-by-step explanation:
what is the answer to 1\2÷3
Answer:
1/6
Step-by-step explanation:
1/2÷3
1/2×1/3
1×1/2×3
1/2×3
1/6
I WILL GIVE YOU 100 points and Braine at Math Properties of Equality, Part 2
For each expression, write an equivalent expression to show the
mathematical properties of equality.
Distributive Property:
6(m +4) = ?
Associative Property:
2 + (m + x) = ?
Commutative Property:
x + 3 = ?
Distributive Property:
3(2y - 6) = ?
Distributive Property:
m(y + 5) = ?
Answer:
1. 6(m + 4) = 6m + 24
2. 2 + (m + x) = (2 + m) + x
3. x + 3 = 3 + x
4. 3(2y - 6) = 6y - 18
5. m(y + 5) = my +5m
Step-by-step explanation:
1. Distributive property "distributes"/multiplies the 6 outside the parentheses to each term inside the parentheses.
2. Associative property deals with how terms and numbers are grouped into parentheses. The terms/numbers stay in the same order.
3. The commutative property means terms can change in order, and you will still get the same result.
4, 5. See #1 above. Distribute/multiply the number/term outside the parentheses to the numbers/terms inside.
Let me know if you have questions.
answer pls ill give bainliest!
Answer:
the right scale factor is 2.5
Step-by-step explanation:
just divide 5 by 2
Answer:
False im not sure sorry
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Question
( 10 + 5x )7
Lets solve this easily.
So, basically, 10 + 5x is 15 but we still didn't
get rid of the x so therefore it's still 15x and then there's 7 so we multiply 15 x 7 giving us 105x.
Hence, the answer is.
(C), 70 + 35x is the answer.
hello i hope you are having a nice day can somebody help me with this question thanks
Answer:
12.25 un
Step-by-step explanation:
-the formula for the area of a triangle is A=(1/2)bh or Area=(1/2)×Base×Height
to find the base you need to take 7.5 and subtract 2.5 the divide in half for each base of the triangles to get 2.5 for the bases.
then take your formula and multiply:
0.5×2.5×2.5=3.125×2=6.25 and you get the area of the triangles.
then do the area of the center square which is:
2.5×2.5=6 for the center
then add:
A=6.25+6=12.25