Answer:
x^2 + 13x + 2
Step-by-step explanation:
The perimeter is all of the sides added up.
11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)
11 + 3x + x^2 + 2 + 6x -5 + 4x - 6
x^2 + 13x + 2
Basically, we combine like terms and you will get a final answer of:
x^2 + 13x + 2.
This is the simplified expression! I hope this helped.
An 8-kN force is applied over an area of 2 cm^2. What is the stress?
4 MPa
4 kPa
40 kPa
40 MPa
4 Pa
Answer:
Option a (4 MPa) is the right answer.
Step-by-step explanation:
The given values are:
Force,
F = 8 kN
Area,
A = 2 cm²
The stress will be:
⇒ [tex]\sigma = \frac{Force}{Area}[/tex]
By substituting the given values, we get
[tex]=\frac{8}{2}[/tex]
[tex]= 4 \ MPa[/tex]
Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the given functions, where x is the number of months that each person has owned the phone. Tonya's Phone Leo's Phone f(x) =490(0.88)x x g(x) 0 480 2 360 4 270 phone has the greater initial trade-in value. During the first four months, the trade-in value of Tonya's phone decreases at an average rate the trade-in value of Leo's phone.
Answer:
The answer is Tonya's phone had the greater initial trade-in value.
Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.
Step-by-step explanation:
Given
Tonya
[tex]f(x) = 490 * 0.88^x[/tex]
Leo
[tex]x \to g(x)[/tex]
[tex]0 \to 480[/tex]
[tex]2 \to 360[/tex]
[tex]4 \to 470[/tex]
Solving (a): The phone with greater initial value
The initial value is when x = 0. So, we have:
[tex]f(x) = 490 * 0.88^x[/tex]
[tex]f(0) = 490 * 0.88^0[/tex]
[tex]f(0) = 490 * 1[/tex]
[tex]f(0) = 490[/tex]
From Leo's table
[tex]g(0) = 480[/tex]
By comparison;
[tex]f(0) > g(0)[/tex]
i.e.
[tex]490 > 480[/tex]
So: Tonya's had the greater initial trade-in value
Solving (b): The phone with lesser rate
An exponential function is:
[tex]y = ab^x[/tex]
Where:
[tex]b \to rate[/tex]
For Tonya
[tex]b = 0.88[/tex]
For Leo, we have:
[tex](x_1,y_1) = (0,480)[/tex]
[tex](x_2,y_2) = (2,360)[/tex]
So, the equation becomes:
[tex]y = ab^x[/tex]
[tex]480 = ab^0[/tex] and [tex]360 = ab^2[/tex]
Solving [tex]480 = ab^0[/tex], we have:
[tex]480 = a * 1[/tex]
[tex]480 = a[/tex]
[tex]a= 480[/tex]
[tex]360 = ab^2[/tex] becomes
[tex]360 = 480 * b^2[/tex]
Divide both sides by 480
[tex]0.75 = b^2[/tex]
Take square roots
[tex]0.87 = b[/tex]
[tex]b=0.87[/tex] -- Leo's rate
By comparison; Leo's rate is slower i.e. 0.87 < 0.88
Which statement is not correct?
options b is not correct
Answer:
B is right option
Step-by-step explanation
A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees.
Aplica el método de eliminación Gaussiana
Hello,
Here are the solution in excel files
par la méthode de Gauss
How do you solve this? I’m stuck
What is the slope of a segment whose endpoints are labeled (-2a, 0) and (0, -2b)?
Answer:
Step-by-step explanation:
use the slope formula Faith,
point P1 (-2a,0) in the form (x1,y1)
point P2(0,-2b) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-2b - 0 ) / (0-(-2a))
m = -2b / 2a
m = - b/a
they are trying to confuse you with the "a" and "b" variables in the problem, but just use the rules you know to solve what you can :)
Help me please guys solve this
Answer:
Does the answer help you?
The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
[tex](-3,4/375)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]
Reflection: Across y-axis
Required
The ordered pair on g(x)
The rule of reflection across y-axis is:
[tex](x,y) = (-x,y)[/tex]
So, we have:
[tex]g(x) = f(-x)[/tex]
f(-x) is:
[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
Recall that:
[tex]g(x) = f(-x)[/tex]
Hence:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
From the options (missing in the question), the ordered pair is:
[tex](-3,4/375)[/tex]
To check this, we have:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]
Expand
[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]
Simplify
[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]
Open bracket
[tex]g(-3) = \frac{4}{375}[/tex]
If m angle ABF = (6x + 26)°, m angle EBF = (2x - 9)° , and m angle ABE = (11x - 31)° , find M angle ABF.
Answer:
122
Step-by-step explanation:
Angle ABE = angle ABF + EBF
11x - 31 = 6x + 26 + 2x - 9 add like terms
11x - 31 = 8x + 17 transfer like terms to the same side of the equation
11x - 8x = 17 + 31 add/subtract like terms
3x = 48 divide both sides by 3
x = 16 now replace x with 16 in the equation
16*6+26 = 122
Sonia received a statement on her Certificate of Deposit showing that her investment had returned $4,320 over its life. If the Certificate of Deposit pays a simple interest rate of 4.8% and her initial investment was $12,000, how long had the money been invested?
Answer:
The correct answer is -7.5 years.
Step-by-step explanation:
Given:
Principle amount = 12000
Interest = 4320
time = ?
rate = 4.8 simple interest
Solution:
We know that simple Interest I = (P*t*r)/100
then t = I*100/p*r
putting values in formula:
t = 4320*100/4.8*12000
= 432000/57,600
= 7.5 years
Help me pleasee anyone
HELP pythagorean identity
Answer:
sin x
Step-by-step explanation:
sin ^2 x + sin x + cos ^ x -1
sin ^2 x + cos ^ x + sin x-1
We know that sin^2 x + cos ^2 x = 1
1 + sin x -1
sin x
Hi!
[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]
Write the exponential function for each table of values. Remember the function y = a(b)*
Help me please!!!
Answer:
Step-by-step explanation:
This is really simple once you get the hang of it. Promise. Remember this:
IF YOU HAVE THE OPPORTUNITY TO CHOOSE A POINT FROM THE TABLE WHERE X = 0, THEN DO IT!
This gives you the a value in your equation and you don't have to solve for it. I'll show you how this looks in the first table of values and then we won't have to do it going forward.
I'm using the coordinates (0, 1) and (1, .5) from the first table. Filling in the equation with the first set of coordinates:
[tex]1=a(b)^0[/tex] and since anything to the 0 power is 1, we know a = 1 (this happens every time we have a coordinate in an exponential table where the x value is 0. a always equals whatever y is!)
Now that we know a = 1, we use that along with the next coordinate pair and solve for b:
[tex].5=1(b)^1[/tex] which simplifies to
.5 = b and the equation is
[tex]y=1(.5)^x[/tex]
For the next table use the coordinate (0, 50) and 1, 25). From the above explanation, I know that a = 50 (because x = 0). Use that along with the next coordinate pair to solve for b:
[tex]25=50(b)^1[/tex] which simplifies to
b = .5 and the equation is
[tex]y=50(.5)^x[/tex]
Lastly, use the points (0, 192) and (1, 768) and we know that a = 192; and it follows that
[tex]768=192(b)^1[/tex] so
b = 4 and the equation is
[tex]y=192(4)^x[/tex]
The first 2 of these are exponential decay because the number inside the parenthesis is less than 1 but greater than 0; the last one is exponential growth since the number inside the parenthesis is greater than 1. That's how you can tell.
With the steps pls ……………………..
Answer: $21, 600
Step-by-step explanation:
Given:
Original cost (when the shop owner brought it) = $20,000
Profit amount = 20% of original cost
Discount rate = 10%
Solve:
First Step: Find the market price (before discount)
$20, 000 × (1 + 20%) = $24, 000Second Step: Find the discount price
$24, 000 × (1 - 10%) = $21, 600Hope this helps!! :)
Please let me know if you have any questions
The polygons in each pair are similar. Find the missing side length
Answer:
24 is the answer because 18/3=6 6x4 is 24
I don't understand this help me : )
Answer:
Alternate interior angles theorem
Step-by-step explanation:
Hope it helps you in your learning process.
Please help me with this, i need help
Answer:
woa
i n
Step-by-step explanation:
xét tính chẵn lẻ của hàm số : y = tanx + cotx
Answer:
Step-by-step explanation:
I NEED HELP WITH THIS PLEASE!!!!!
Answer:
nt ooooo
o
Step-by-step explanation:
find the area of this shape
Please help me asap
Answer:
(1/2×6×8)+(π×4^2/2)
=49.12 ft^2
☆○☆○☆○☆○☆○
Hope it helps..
Have a great day!!!
Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry
SOMEONE PLEASE HELP!!!!!!!!!!!!!
Answer:
x = 25.2
Step-by-step explanation:
[tex]\frac{5}{18} =\frac{7}{x}[/tex]
5x = 126
x = 25.2
Can some1 tell me fast pls what is the additive inverse of -9/2
Answer:
9/2
Step-by-step explanation:
For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.
-9/2 + 9/2 = 0
Answer:
9/2.
Step-by-step explanation:
If x is the additive inverse then
x + (-9/2) = 0
x - 9/2 = 0
so x = 9/2.
What additional Information needed to prove the triangles are congruent by the SAS Postulate? Angle XWY cong angle ZWY; angle YXW cong angle YZW; overline WY cong overline XZ; overline WY perp overline XZ
Answer:
WX = WZ
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove the congruence of the triangles
Congruence by SAS means 1 angle and 2 sides of each triangles are equal.
The mark on angle W means that <XWY = <ZWY--- This represent the A in SAS
Both triangles share line WY.
So, WY = WY
Lastly, to complete the proof, lines WX must equal line WZ
two sides of a triangle have lengths 7 and 17. find the range of possible length for the third side
by using Pythagoras theorem c2= a2 + b2
so let's say c= 17 and a= 7, let's calculate for b
(17)^2 = (7)^2 + b2
289= 49+b2
289 - 49 = b2
240 =b2
√249 = b
b = 15 . 49
If 81y^2-k=9y^2-(1/2)^2 what is the value of k
Answer:
k = 1/4
Step-by-step explanation:
81y² - k = (9y)² - (1/2)²
(9y)² - k = (9y)² - (1/2)²
k = (1/2)² = 1/4
the longest side of a triangle is 80cm more than the second and 130cm more than the shortest side and its perimeter is 540cm. find its area
help help
Answer:
Area of triangle1/2b*h Now you can do
The area of the triangle is 9000 square centimeters
How to determine the area?Let the sides in order of length be represented as:
x, y and z.
So, we have:
z = 80 + y
z = 130 + x
P = 540
The perimeter is calculated as:
P = x + y + z
So, we have:
x + y + z =540
Substitute z = 130 + x
x + y + 130 + x =540
Evaluate the like terms
2x + y = 410
Substitute z = 130 + x in z = 80 + y
130 + x = 80 + y
Evaluate the like terms
x - y = -50
So, we have:
2x + y = 410
x - y = -50
Add both equations
3x = 360
Divide by 3
x = 120
Substitute x = 120 in z = 130 + x
z = 130 + 120
z = 250
Substitute z = 250 in z = 80 + y
250 = 80 + y
y = 170
So, we have:
x = 120
y = 170
z = 250
The area is then calculated as:
[tex]Area = \sqrt{s * (s -x) *(s - y) * (s -z)[/tex]
Where
s = P/2 = 540/2
s = 270
So, we have:
[tex]Area = \sqrt{270 * (270 -120) *(270 - 170) * (270 -250)[/tex]
Evaluate
Area = 9000
Hence, the area of the triangle is 9000 square centimeters
Read more about areas at:
https://brainly.com/question/24487155
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Help Please!!!
Find the volume of the sphere
Answer:
523.6
Step-by-step explanation:
Not sure how to explain •-•
Hope it helps c:
Answer: use formula pi r^3
3.14 × 5 x 5 x 5 x 4 ÷ 3
Step-by-step explanation:
What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?
Answer: 12 units²
Step-by-step explanation:
To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.
A=4×3=12 units²
Now, we know the area is 12 units².
analyze the diagram below and complete the instructions that follow
Answer: A
Step-by-step explanation:
Tìm X
3x2-3x×(x-2)-12=0
Answer:
[tex]3x^2-3x\left(x-2\right)-12=0[/tex]
[tex]3x^2-3x\left(x-2\right)-12+12=0+12 \longleftarrow (\mathrm{Add\:}12\mathrm{\:to\:both\:sides})[/tex]
[tex]3x^2-3x\left(x-2\right)=12[/tex]
[tex]-3x\left(x-2\right)=-3xx-\left(-3x\right)\cdot \:2[/tex]
[tex]=-3xx+3\cdot \:2x[/tex]
[tex]-3xx+3x^{2}[/tex]
[tex]=3x^{1+1}[/tex]
[tex]=3x^2[/tex]
[tex]3\cdot \:2x=6x[/tex]
[tex]=-3x^2+6x[/tex]
[tex]3x^2-3x^2+6x=12\Longleftarrow Add\:similar\:elements[/tex]
[tex]6x=12[/tex]
[tex]\frac{6x}{6}=\frac{12}{6} \Longleftarrow Divide[/tex]
[tex]x=2[/tex]
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OAmalOHopeO
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