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Related Questions
Please help with math question.
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9514 1404 393
Answer:
C
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\displaystyle\frac{7}{-4-\sqrt{x}}=\frac{7(-4+\sqrt{x})}{(-4-\sqrt{x})(-4+\sqrt{x})}=\frac{-28+7\sqrt{x}}{16-x}=\boxed{\frac{7\sqrt{x}-28}{16-x}}[/tex]
4. Determine the volume of the eraser below. 3 in 1.5 in eraser 1 in
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Answer:
volume = 4.5 in³
Step-by-step explanation:
V = L x W x H
V = 3 x 1.5 x 1 = 4.5
50 points help me please
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Simplified Improper Fraction: 3/2
Mixed Number: 1 1/2
Simplify by combining Like terms: m + 9 - 4m
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Answer:
9-3m
Step-by-step explanation:
m and -4m are like terms, combining them yields (1m-4m) which is -3m. The 9 is a constant.
find the area of the figure use 3.14 for pie
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evaluate the following definite integral
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Answer:
[tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}[/tex]
General Formulas and Concepts:
Symbols
e (Euler's number) ≈ 2.71828Algebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsDefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
U-SolveIntegration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite [Exponential Rule - Multiplying]: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \int\limits^1_0 {x^5e^{x^3}e} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = e\int\limits^1_0 {x^5e^{x^3}} \, dx[/tex]Step 3: Integrate Pt. 2
Identify variables for u-solve.
Set u: [tex]\displaystyle u = x^3[/tex][u] Differentiate [Basic Power Rule]: [tex]\displaystyle du = 3x^2 \ dx[/tex][u] Rewrite: [tex]\displaystyle x = \sqrt[3]{u}[/tex][du] Rewrite: [tex]\displaystyle dx = \frac{1}{3x^2} \ du[/tex]Step 4: Integrate Pt. 3
[Integral] U-Solve: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = e\int\limits^1_0 {x^5e^{(\sqrt[3]{u})^3}\frac{1}{3x^2}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}\int\limits^1_0 {x^5e^{(\sqrt[3]{u})^3}\frac{1}{x^2}} \, du[/tex][Integral] Simplify: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}\int\limits^1_0 {x^3e^u} \, du[/tex][Integrand] U-Solve: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}\int\limits^1_0 {ue^u} \, du[/tex]Step 5: integrate Pt. 4
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = u[/tex][u] Differentiate [Basic Power Rule]: [tex]\displaystyle du = du[/tex]Set dv: [tex]\displaystyle dv = e^u \ du[/tex][dv] Exponential Integration: [tex]\displaystyle v = e^u[/tex]Step 6: Integrate Pt. 5
[Integral] Integration by Parts: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3} \bigg[ ue^u \bigg| \limits^1_0 - \int\limits^1_0 {e^u} \, du \bigg][/tex][Integral] Exponential Integration: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3} \bigg[ ue^u \bigg| \limits^1_0 - e^u \bigg| \limits^1_0 \bigg][/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}[ e - e ][/tex]Simplify: [tex]\displaystyle \int\limits^1_0 {x^5e^{x^3 + 1}} \, dx = \frac{e}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Write the slope intercept form of the equation of the line. x + 8y = 24
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PLSSS HELP ASAPPPPPP
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it will be A.25
Step-by-step explanation:
hope its right
Other Academics
4: Assessment Form A
Henry sells rings for $8 each. His expenses are $1.50 per ring, plus $91 for supplies. How many rings does he need to sell for his revenue to equal his
expenses?
A 140
B. 9
C. 10
D. 14
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hope it helps :)
Please solve the following. Solve for X. PLEASE HELP
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Answer:
8
Step-by-step explanation:
(x+4)/x=24/16
24x=16x+64
8x=64
x=8
30. President Ronald Reagan earned a yearly salary of 2 x 10^5 dollars as
president. He served 8 years as president. What was the total amount of
money Ronald Reagan earned as president?
A 1.6 x 106 dollars
B. 2.0 x 106 dollars
c. 1.6 x 107 dollars
D. 2.0 x 107 dollars
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Answer:
a) 1.6 x 10 ^6 dollars.
Step-by-step explanation:
since President Ronald Reagan served for 8 years. So the total amount of money that he earned is 2 x 10^5 x 8 = 16 x 10 ^ 5 = 1.6 x 10^6 dollars.
PLEASE HELP DUE IN 3 minutes
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130-139=4
140-149=7
150-159=4
160-169=5
Angel and Kellie each have the same amount of money in their wallet. Angel buys two juice drinks and receives $1.10 in change after she pays. Kellie buys 1 juice drink and receives $3.05 in change after she pays. Which equation shows how to find the cost of a juice drink, j?
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Answer:
y= 2x+1.10
y=x+3.05
Step-by-step explanation:
Fast help pls
13¢ per mile. Company B charges $50.50 and 8€ per mile. How much more does Company A
charge for x miles than Company B?
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it might be 5 if you subtract 13 from 8
I need help please.
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Answer:
B
Step-by-step explanation:
Rectangle MNPQ is graphed on a coordinate grid with vertices at MCU,), N(4,14), P(8,6),
and QC-8,-2). Rectangle MNPQ is dilated by a scale factor of 3 with the origin as the center
of dilation to create rectangle M'N'P'Q'.
Which ordered pair represents the coordinates of vertex M'?
A
B (3u, 3v)
C (u + 3,v + 3)
33
D
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James invests a total of $18,000 in two accounts paying 13% and 3% annual interest, respectively. How
much was invested in each account if, after one year, the total interest was $2,040.00.
S
was invested at 13% and
S
was invested at 3%.
Answers
Answer:
$15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.
Step-by-step explanation:
Given that James invests a total of $ 18,000 in two accounts paying 13% and 3% annual interest, respectively, to determine how much was invested in each account if, after one year, the total interest was $ 2,040.00, the following calculation must be performed:
18,000 x 0.13 + 0 x 0.03 = 2340
16,000 x 0.13 + 2,000 x 0.03 = 2140
15,000 x 0.13 + 3,000 x 0.03 = 2040
Thus, $ 15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.
If Fx) = 8x, which of the following is the inverse of F(x)?
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Answer
y=x/8
Step-by-step explanation:
f(x)=8x
f(x)=y
y=8x(interchange the values)
x=8y(divide by 8 both sides)
y=x/8
$200 in a savings account. The interest rate is 3%. Determine the exact amount of money that will be in the
account after the following amounts of time.
a) 2 months: b) 6 months:
c) 11 months: d) 1 year:
e) 2.5 years: f) 5 years:
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Answer:
what
Step-by-step explanation:
answer all
(make sure to show work
6th grade work
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8 + 2
10 - answer
4 times 4
16 + 20
36 - answer
Ur welcome
ill mark brainlist plss help
Answers
Answer:
Quadrilateral, parallelogram, rhombus; rhombus
Step-by-step explanation:
It’s a quadrilateral becasue it has 4 sides and vertices.
It’s a rhombus because opposite angles are equal and opposite sides are equal.
It‘s a parallelogram because all rhombuses are parallelograms.
The ordered pair (a,b)give the location of point P on the coordinate plane.The values of a and b have the same sign neither a nor b is 0 where could point P be located on the coordinate plane
Choices
Quadrant l
Quadrant ll
Quadrant lll
Quadrant lV
X-axis
Y-axis
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Answer:
Q I & Q III
Step-by-step explanation:
See the picture I have attached. The Quadrant numbers are in bold Roman numerals.
Only in quadrants I and III are x and Y both of the same sign.
If the point (a,b) is on an axis, one of the coordinates must be zero, but you were told that neither a nor b is zero, so the axes can be counted out as possible answers.
Maximize −4x + 5y + 70 subject to the constraints:
2x + y ≤ 8
x + 3y ≥ 5
x + y ≤ 6
x ≥ 0,
y ≥ 0
a. Fix any constraints, as needed, and then convert the linear programming problem into a system of linear equations.
b. Give a fully labeled initial tableau, and circle the pivot element.
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Answer:
Step-by-step explanation:
[tex]\text{To maximize -4x + 5y + 70 subject to } \\ \\ 2x + y \le 8 --- (1) \\ \\ x + 3y \ge 5 --- (2) \\ \\ x + y \le 6----(3) \\ \\ x \ge 0, y \ge 0[/tex]
[tex]\text{From above equationn (1)} : 2x + y = 8 \\ \\ \text{Divide boths sides by 8} \\ \\ \dfrac{2x}{8} + \dfrac{y}{8} = \dfrac{8}{8}[/tex]
[tex]\dfrac{x}{4} + \dfrac{y}{8} = 1 \\ \\ x = 4; y = 8[/tex]
[tex]\text{From above equationn (2)} : x + 3y = 5 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{5} + \dfrac{3y}{5} = \dfrac{5}{5} \\ \\ x = 5; \ y = 1.66[/tex]
[tex]\text{From above equation (3)} : x + y = 6 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{6} + \dfrac{y}{6} = \dfrac{6}{6} \\ \\ x = 6; \ y = 6[/tex]
[tex]\text{From the image attached below, we can see the representation in the graph}[/tex]
- [tex]\text{Now from equation (1) ad (III)} \\ \\ 2x + y = 8 \\ \\ x+y = 6[/tex]
[tex]x[/tex] [tex]= 2[/tex]
[tex]From : x + y = 6 \\ \\ 2 + y = 6 \\ \\ y = 6-2 \\ \\ y =4[/tex]
[tex]\text{From equation (1) and (II) } \\ \\ \ \ 2x + y = 8 \\ - \\ \ \ x + 3y = 5 \\ \\[/tex]
[tex]-5y = -2 \\ \\ y = \dfrac{2}{5} \ o r\ 0.4 \\ \\ From : 2x+ y = 8 \\ \\ 2x = 8 - \dfrac{2}{5} \\ \\ x = \dfrac{ 8 - \dfrac{2}{5} }{2} \\ \\ x = 3.8[/tex]
The area of a rectangle is 245.25. If it has a width of 14 1/4, what is the length?
Answers
Answer:
3 6 8
Step-by-step explanation:
i just need them points.
What is the range of the data set? *
2 points
53, 39, 123, 59, 25, 79, 88
84
53
123
98
25
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Answer:
25
Step-by-step explanation:
range = largest value - smallest value (123-25)
A local bakery sells bread and breakfast items. The bakery also offers two dessert options each day. Yesterday, the bakery offered decorated sugar cookies and miniature cakes. Each decorated sugar cookie sells for $3 and each miniature cake sells for $2. Yesterday, the bakery sold 40 bakery items, which sold for $96 total.
The system of equations shown can be used to represent this situation. In the system of equations, s equals the number of decorated sugar cookies sold and c represents the number of miniature cakes sold.
s+c=40 3s+2c=96
Answers
Answer:
I can't understand your equation. Please rewrite it.
Step-by-step explanation:
The parent function is given by f(x) = x^2
Choose the BEST description for f(x - 3)+2.
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Option D
Dominick and Janelle are working to simplify the expression 2c + 4 + c + 6. Janelle simplifies her expression to 2c + 10, while Dominick simplifies his to 3c + 10.
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Answer:
3c + 10
Step-by-step explanation:
1c = c
2c + 4 + c + 6
(combine like terms)
3c + 10
Answer:
Dominic is right
Step-by-step explanation:
equation:
2c + 4 + c + 6
combine like terms:
2c + c = 3c
4 + 6 = 10
new equation:
3c + 10
Please indicate which type of sampling design is most appropriate for each of the following studies. The choices are SRS, stratified random sampling, and matched pair design.
a. A campus newspaper randomly selects 20 common Spring Break destinations and surveys the residents about their attitudes of students spending Spring Break in their city.
b. A developer in West Lafayette wants to know if students who are renting off-campus like their apartment complex. They chose 10 students who lived in 5 different complexes.
c. A researcher wants to know the difference in time it takes to apply brakes between people who are not talking on the phone and people who are talking on a hands-free cell phone. She chose 100 individuals and then drive both ways in a simulator and measured their responses. A student organization has 55 members. Out of these members, five are selected randomly to attend a national conference.
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Answer:
Following are the responses to the given question:
Step-by-step explanation:
In point 1
The random selection stratified: although 50 statements belong to 5 different groups.
In point 2:
Coincide pair design: As we're in the SAME location to measure the difference between the downstream and upstream fractures. Although when calculating a top-down split they need only to calculate the low-up split which corresponds to the top-down split.
In point 3:
Matched layout: As 100 individuals were chosen and ALL were required to give BOTH and document certain responses.
In point 4:
SRS: RANDOMLY has also been selected since 20 spring break goals.
1/3 as long as 6 meters meter(s) ??
Answers
Answer:
1/3 of 6 meters is 2 meters
Step-by-step explanation: