Answer:
8r^4 -16r^2
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Write the result in order of decreasing powers of the variable.
__
8r^2(r^2 -2) = (8r^2)(r^2) +(8r^2)(-2)
= 8r^4 -16r^2
mean of 39,82,74,96,64,52,74
Age of car = 4 years. Original cost = $13,850. The current market value is $
Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.
Hence, the value of the car in 4 years is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(4) = 13850(0.9)^4[/tex]
A(4) = 9087.
More can be learned about exponential functions at https://brainly.com/question/25537936
Sushil was thinking of a number. Sushil halves the number and gets an answer of 61.4. Form
an equation with x from the information.
X
What is the area of this triangle ?
Answer:
8
Step-by-step explanation:
area of a triangle= b x h x 1/2 or b x h /2
the base is 4 and the height is 4
4x4/2
=16/2
=8
"In order to pass your final assessment, you must answer 75% of the questions correctly. There are 84 questions." “Then, I must get __________ correct to pass.”
Answer: 63 questions
Step-by-step explanation: to find 75% of 84, multiply 84 by .75
A boy bought 1,567kg of frozen chicken,657g of vegetables and 95g of corn oil from a shopping mall. What is the total weight of the items she bought in kilograms
Answer:
1567.752
Step-by-step explanation:
1000g = 1 kg. Before you can add them together, you have to multiply the vegetables and corn oil by 0.001 so that they are now in the unit of Kilograms. Then just add all of them together
Answer:
1567.752
Step-by-step explanation:
Find N in this equation: N X 4 divided by 2 + 5 - 1 = 20
Hi!
4n/2+5-1=202n+4=202n=20-42n=16n=8What number must you add to complete the square?
x^2 - 16x = 23
A. -8
B. -64
C. 64
D. 8
Answer:
D
Step-by-step explanation:
Answer:
D. 8
Step-by-step explanation:
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.
(b/2) ² = (-8)²
Add the term to each side of the equation.
x² - 16x + (-8)² = 23 + (-8)²
Simplify the equation.
Raise -8 to the power of 2.
x² - 16x + 64 = 23 + (-8)²
Simplify 23 - (-8)²
Raise - 8 to the power of 2.
x² - 16x + 64 = 23 + 64
Add 23 and 64
x² - 16x + 64 = 87
Factor the perfect trinomial square into (x-8)²
(x-8)²=87
Solve the equation for x.
Take the square root of each side of the equation to set up the solution for x.
(x-8)²*¹/₂ = ±√87
Remove the perfect root factor x-8 under the radical to solve for x.
x - 8 = ±√87
Remove parentheses.
x - 8 = ±√87
Add 8 to both sides of the equation.
x = ±√87 + 8
The result can be shown in multiple forms.
Exact Form:
x = ±√87 + 8
Decimal Form:
x=17.32737905…,−1.32737905…
A class has 26 students. Each student has to present a project to the class. To decide the order, the teacher writes every letter in the
alphabet on pieces of paper and puts it in a hat. What is the probability that the first letter drawn is not a vowel?
A. 7/26
B. 19/26
C. 21/26
D. 5/26
Answer:
Choice B.
19/ 20
Step-by-step explanation:
This is because there are 26 letters in the alphabet, 19 of which are non-vowels.
Answer:
21/26
Step-by-step explanation:
because there are 26 letter in the alphabet
and there are 5 vowels
so 26 - 5 = 21
21/26
Future value of 10% savings from earnings of1470 earning 3.5% annual interest compounded monthly for 25 years
hmmm so let's see first how much is 10% of the earnings of 1470.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1470}}{\left( \cfrac{10}{100} \right)1470}\implies 147[/tex]
so then
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$147\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}[/tex]
[tex]A=147\left(1+\frac{0.035}{12}\right)^{12\cdot 25}\implies A=147\left( \frac{2407}{2400} \right)^{300}\implies \boxed{A\approx 352.19}[/tex]
Find the area of the triangle with the following coordinates. A (-5,9) B (1,-7) C (8,4)
QUESTION : > FIND THE ARE OF THE TRIANGLE WITH THE FOLLOWING COORDINATES.
A. (-5,9)
B . (1,-7)
C . (8,4)
ANSWER :> A.
(-5,9).
HOPE IT HELPS
THANK ME LATER.
#CARY ON LEARNINGPlease help asap !!!!
C
Step-by-step explanation:
You do 5 - 2 = 3 and -y = -x so the answer would be C.
What is the value of (-4)-3?
1
64
О.
—
1
12
64
ОО
1
12
Answer:
Answer is -1/64
Step-by-step explanation:
Mark me the brilliant
parallelogram MTBV ~ parallelogram AQZE
Drag the answers into the boxes to match each part of parallelogram MTBV with the corresponding part
of parallelogram AQZE.
IT
1 to 4 2 stays 3 to 1 4 to 3
Step-by-step explanation:
What is the next term of the geometric sequence
Answer:
64/7
Step-by-step explanation:
Pattern = Multiplying by -4
-16/7 x -4/1
64/7
The radius of a circle is 17 ft. Find its circumference in terms of pi
helpppp: Find the area of the parallelogram.
Step-by-step explanation:
that is totally simple.
the area of a parallelogram is
baseline × height
basically the same as for a rectangle, just that in this more general form the height is no longer the other side.
in our case here
18×13 = 234 cm²
Please help me!!!
Prove that :
7.1 TS is a tangent to the cyclic quadrilateral RSPD at point S.
7.2 TW ||PS
Explanation:
The various theorems involved include ...
angle sum theorem (angles in a triangle total 180°)alternate interior angles theorem (said angles are congruent)inscribed angle theorem (and "alternate")angle addition postulateFor the purpose here, we wll use the notation D.1 to refer to the angle labeled "1" at vertex D.
The argument goes something like the following.
__
∠D.1 +∠R +∠S.1 = 180° . . . . angle sum theorem
∠S.1 +∠S.2 +∠S.3 +∠S.4 = 180° . . . . angle addition postulate (∠RSW is a straight angle, equal to 180°)
∠D.1 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitution property
∠D.1 = ∠S.2 . . . . alternate interior angles theorem
∠S.2 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitute for ∠D.1
∠R = ∠S.3 +∠S.4 . . . . subtraction property (subtract ∠S.1 +∠S.2)
∠R = ∠S.3 +∠S.2 . . . . substitute ∠S.2 for equal ∠S.4 (given)
∠R = arc DS/2 . . . . inscribed angle is half the arc measure
∠TSD = ∠S.2 +∠S.3 = arc DS/2 . . . . substitution, angle addition, angle naming
TS is tangent at S . . . . converse of "inscribed angle alternate" where the vertex of an inscribed angle is a point of tangency
_____
Additional comment
The alternate to the inscribed angle theorem says the angle is half the measure of the intercepted arc even as the vertex of the inscribed angle becomes a point of tangency (one ray of the angle is a tangent, so a zero-length chord). The converse of this says the vertex is a point of tangency if the intercepted arc is twice the measure of the angle, as in this problem.
Joe has 1500 minutes per month on her cell phone how many more minutes can she use if she already use 325 minutes
Answer:
1500-325
=1125
Step-by-step explanation:
1500 minutes minus 325 minutes is equal to 1125 minutes remaining
find the MAD of 0, 2, 4, 4, 6, 8, 8, 12
Answer:
Mean Absolute Deviation (MAD): 3
Step-by-step explanation:
Calculate the percent
Answer:
95% of 28 is 26.6
Step-by-step explanation:
28 * 0.95 = 26.6
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
Find the sum of -2 + 3i and -1- 2i.
Answer:
-3+i
Step-by-step explanation:
Collect like terms
-2-1=-3
+3i-2i=i
-3+i
Solve 96 =3w+ 15, where w is a real number.
2
Round your answer to the nearest hundredth?
Answer:
3+15=18 i guess
Step-by-step explanation:
dont judge me im only in 2 grade
Simple help me please and thank you !
Answer:
y=mx
Step-by-step explanation:
I actually dont know if this is wrong I am terribly sorry I just went off of my notes.
(-5, -5) (1,3) find the distance between each pair of points
Answer:
10
Step-by-step explanation:
Plug into Distance formula --> √(1 - (-5))^2 + (3 - (-5))^2
---> 10
What is the equivalent expression for 24x - 40y ?
Answer:
See answer and step-by-step attachment.
Step-by-step explanation:
See attachment.
Find the product or expression:
(a+16)2
Answer:
[tex]\boxed{\sf{2a+32}}[/tex]Step-by-step explanation:
You have to use a distributive property.
Distributive property:
→ A(B+C)=AB+AC
⇒ (a+16)2
→ 2(a+16)
Multiply.
⇒ 2*a=2a
→ 2*16=32
Rewrite the problem down.
⇒ 2a+32
Therefore, the correct answer is 2a+32.I hope this helps you! Let me know if my answer is wrong or not.
Hi!
Given:
[tex](a+16)2[/tex]
See the 2 out in front of the parentheses? Using the distributive property, we need to multiply that 2 by each of the terms inside of the parentheses. See the attached image below for more information.
So:
[tex]2*a+16*2[/tex]
[tex]2a+32[/tex]
Therefore, your answer is 2a + 32
When fully charged, Jaylin's
computer works for 20 hours.
She uses her computer for about
1.5 hours each day. A low battery
warning comes on when there is
hours of use or less remaining
Answer:
The battery seems to be charging at a rate of 1 percentage point per minute. So the battery should be fully charged at 10:11 AM.
Step-by-step explanation:
Determine the lateral and total surface area
of the regular triangular pyramid.
15 cm
13 cm
Lateral Surface Area
Total Surface Area
The areas of the square pyramid are the amount of space on it
The lateral surface area is 292.5 square cmThe total surface area is 354.85 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 15 cm
Slant height (l) = 13 cm
The lateral surface area is calculated using:
L = 1.5bl
So, we have:
L = 1.5 * 15 * 13
Evaluate the product
L = 292.5
How to determine the total surface area?This is calculated using:
T = L + 0.25√3b^2
So, we have:
T = 292.5 + 0.25√3 * 12^2
Evaluate
T = 354.85
Hence, the total surface area is 354.85 square cm
Read more about areas at:
https://brainly.com/question/24487155
What is sin 45°?
O
45°
VE
1
90°
45°
1
O
O A. /
O B. v
O C. 1
O D.
1
2
Answer:
A
Step-by-step explanation:
A
The value of sin 45° is,
⇒ sin 45° = 1/√2
We have to given that,
A triangle is shown in image.
We know that,
sin x = Opposite / Hypotenuse
Now, By given triangle,
sin 45° = 1/√2
Therefore, The value of sin 45° is,
⇒ sin 45° = 1/√2
Learn more about the triangle visit;
brainly.com/question/1058720
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