Answer:
A = 14 units ²
Step-by-step explanation:
Hello There!
The polygon shown is a triangle
The first step is to find the formula for area of a triangle
[tex]A=\frac{1}{2} bh[/tex]
where b = base and h = height
the following dimensions are given
base = 7 and 4 = height
so all we have to do is plug in the values into the formula
[tex]A=\frac{1}{2} 7*4\\7*4=28\\\frac{1}{2} 28=14\\A=14[/tex]
so we can conclude that the area of the polygon is 14 units ²
Answer:
area of polygon =area of TRIANGLE =
1/2 base×height =1/2×7×4=14 units²
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
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 with math question.
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]
PLSSS HELP ASAPPPPPP
it will be A.25
Step-by-step explanation:
hope its right
If Fx) = 8x, which of the following is the inverse of F(x)?
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
Please solve the following. Solve for X. PLEASE HELP
Answer:
8
Step-by-step explanation:
(x+4)/x=24/16
24x=16x+64
8x=64
x=8
What is the range of the data set? *
2 points
53, 39, 123, 59, 25, 79, 88
84
53
123
98
25
Answer:
25
Step-by-step explanation:
range = largest value - smallest value (123-25)
The parent function is given by f(x) = x^2
Choose the BEST description for f(x - 3)+2.
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?
it might be 5 if you subtract 13 from 8
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.
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
what is x in 5x - ((2x-1)÷2) = 5
Answer:
5x - ((2x-1)÷2) = 5-----(1)
(1) multiply by 2;
2 *(5x - ((2x-1)÷2) = 5)
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 =10
8x = 10-1
x=9 /8
Step-by-step explanation:
Answer:
x = 9/8
Step-by-step explanation:
5x - ((2x - 1) ÷ 2) = 5
2 × (5x - ((2x - 1) ÷ 2) = 5
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 = 10
8x + 1 - 1 = 10 - 1
8x = 10 - 1
8x = 9
8x ÷ 8 = 9 ÷ 8
x = 9 ÷ 8
x = 9/8 or 1 and 1/8
ill mark brainlist plss help
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.
PLEASE HELP DUE IN 3 minutes
130-139=4
140-149=7
150-159=4
160-169=5
$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:
Answer:
what
Step-by-step explanation:
evaluate the following definite integral
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
Simplify by combining Like terms: m + 9 - 4m
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.
Write the slope intercept form of the equation of the line. x + 8y = 24
there 2 parts to the question
Answer:
a) ∠PNQ=40°
b) ∠POQ=80°
Explanation:
The Inscribed Angle Theorem proves that an inscribed angle is half of the intercepted arc length. From that information, we can determine the angle of PNQ with ∠PNQ=[tex]\frac{1}{2}[/tex]QP or ∠PNQ=[tex]\frac{1}{2}[/tex](80). Multiply those two to get 40. Because the central angle is equal to the measure of its intercepted arc length. So, we know that ∠POQ is 80°.
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
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.
find the area of the figure use 3.14 for pie
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.
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.
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
Answer:
I can't understand your equation. Please rewrite it.
Step-by-step explanation:
50 points help me please
Which graph best represents f(x)=6(3)x. PLEASE
Answer:
Hi! You have not shown any options, but your graph should look like this
Step-by-step explanation:
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
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
4. Determine the volume of the eraser below. 3 in 1.5 in eraser 1 in
Answer:
volume = 4.5 in³
Step-by-step explanation:
V = L x W x H
V = 3 x 1.5 x 1 = 4.5
The area of a rectangle is 245.25. If it has a width of 14 1/4, what is the length?
Answer:
3 6 8
Step-by-step explanation:
i just need them points.
I need help please.
Answer:
B
Step-by-step explanation:
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.
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]
1/3 as long as 6 meters meter(s) ??
Answer:
1/3 of 6 meters is 2 meters
Step-by-step explanation: