Answer:
The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.
Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
What is the value of log6255?
Answer:
1/4
Brainliest!Step-by-step explanation:
1/4 on my calculator
The value of log 5 to the base 625 is 1/4 .
How to find the value of logarithm with any base value -From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,
∴ log a to the base b = x
⇒ [tex]a = b^{x}[/tex]
Thus we can take log 5 to the base 625 = x
∴ [tex]5 = 625^{x}[/tex]
From the above equation, we can get the value of x as 1/4
Thus the value of log 5 to the base 625 is 1/4
To learn more about properties of logarithm, refer -
https://brainly.com/question/12049968
#SPJ2
Kristin spent $128 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 8
shirts, then how many of each kind did she buy?
Answer:
6 Fancy shirts
Step-by-step explanation:
In the diagram below, points A and B represent two lakes. How far apart are the lakes? 131.5 ft 456.3 ft 474.6 ft 633.9 ft
Answer:
I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6
Step-by-step explanation:
The distance between the two lakes = 633.9 ft. So, we take the 4th option.
What is the law of cosines?By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,
c = √(a² + b² - 2.a.b.cos γ)
How do we solve the given question?To solve the question, we will use the law of cosines.
Let a = 560 ft., b = 350 ft., c = d (unknown distance).
γ = 160° - 75° = 85°.
We substitute the values in the formula to get,
d = √(560² + 350² - 2(560)(350)(cos 85°)
or, d = √(313600 + 122500 - 392000*0.0871)
or, d = √(436100 - 34165.05116)
or, d = √401934.948842
or, d = 633.983397
So, we take d = 633.9 ft., the 4th option.
∴ The distance between the two lakes = 633.9 ft.
Learn more about the law of cosines at
https://brainly.com/question/3897392
#SPJ2
Which equation is a point slope form equation for line AB?
Oy-2=2(x+2)
Oy-6=-2(x+2)
Oy-2=-2(x+6)
Oy- 2 = -2(x+2)
Answer:
y-6= -2(x+2)
Step-by-step explanation:
A= (-2, 6)
B= (2, -2)
y= mx+b
slope:
m= (y2-y2)/(x2-x1)= (-2-6)/(2+2)= -8/4= -2intercept:
6= (-2)*(-2)+b ⇒ b= 6-4= 2the function is:
y= -2x+2y-2=2(x+2) ⇒ y= 2x+6 - no
y-6= -2(x+2) ⇒ y= -2x +2 - yes
y-2= -2(x+6) ⇒ y= -2x - 10- no
y-2= -2(x+2) ⇒ y= -2x- 2 - no
k(-1) =
PLEASE HELP ASAP
Answer:
7?
Step-by-step explanation:
Answer:
k(-1) = 7
Step-by-step explanation:
the blue line represents the graph of k. The question is asking what the y-value at x=-1 is. Therefore, you just look at the blue line when x = -1, which is one block to the left of the middle. At that point, the y value is 7.
Does the graph below represent a proportional relationship? A. Yes, because it is a straight line that passes through the origin. B. No, because a proportional relationship does not have to be a straight line. C. Yes, because it is a straight line that does not pass through the origin. D. No, because it is not linear.
Answer:
A
Step-by-step explanation:
maybe i am sure don't depend on me
A sequence is defined by the recursive formula f(n+) = f(n) -2. If f(1) =18 what is f(5)?
=====================================================
Work Shown:
Plug in n = 1 to find the next term
f(n+1) = f(n) - 2
f(1+1) = f(1) - 2 ... replace every n with 1
f(2) = f(1) - 2
f(2) = 18-2 .... replace f(1) with 18
f(2) = 16
We'll use this to get the next term. Plug in n = 2
f(n+1) = f(n) - 2
f(2+1) = f(2) - 2 ... replace every n with 2
f(3) = f(2) - 2
f(3) = 16 - 2 ... replace f(2) with 16
f(3) = 14
This process keeps going until we reach f(5)
Plug in n = 3
f(n+1) = f(n) - 2
f(3+1) = f(3) - 2
f(4) = f(3) - 2
f(4) = 14-2
f(4) = 12
and finally plug in n = 4
f(n+1) = f(n) - 2
f(4+1) = f(4) - 2
f(5) = f(4) - 2
f(5) = 12 - 2
f(5) = 10
The summary is basically we subtract 2 from each term to get the next term. The sequence is 18, 16, 14, 12, 10 which is arithmetic.
Tammy has $3,500 that she wants to invest in stock. She believes she can earn a 12% annual return. What would be the value of Tammy's investment in 10 years if she is able to achieve her goal?
Answer:
the answer to the following questions is 10870.46873
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelogram, if DG = GH, AB = 39 in, GP = 12 in.
Answer:
The area of a parallelogram is 360 in.²
Step-by-step explanation:
Where DG = GH
GP = 12 in.
AB = 39 in.
∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)
Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH
Therefore, ∠GAB + ∠HBA = 90°
Hence, ∠BPA = 90° (Sum of interior angles of a triangle)
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]
We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)
∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)
Hence AD = DG (Side length of isosceles triangle)
The bisector of ∠ADG is parallel to BH and will bisect AG at point Q
Hence ΔDAQ ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP
Hence, AP = 3 × GP = 3 × 12 = 36
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]
[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]
∠GAB = 22.62°
[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]
[tex]GH = \dfrac{39}{36} \times {12}[/tex]
GH = 13 in.
∴ AD 13 in.
BP = 39 × sin(22.62°) = 15 in.
GH = √(GP² + HP²)
∠DAB = 2 × 22.62° = 45.24°
The height of the parallelogram = AD × sin(∠DAB) = 13 × sin(45.24°)
The height of the parallelogram = 120/13 = 9.23 in.
The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²
Answer:
360 in2
Step-by-step explanation:
The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.
The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.
The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD
The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.
In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:
DG + GH + HC = AB = 39
GH + GH + GH = 39
GH = 13
in the parallelogram we have the property:
mDAB + mABC = 180°
We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:
mGAB + mABH + mBPA = 180
mDAB/2 + mABC/2 + mBPA = 180
(180/2) + mBPA = 180
mBPA = 90°
If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:
cos(mHGP) = GP / GH = 12 / 13
Then, we can find the sine of mHGP using:
sin(mHGP)^2 + cos(mHGP)^2 = 1
sin(mHGP)^2 + 144/169 = 1
sin(mHGP)^2 = 25/169
sin(mHGP) = 5/13
If we draw the height of the triangle GPH relative to the side GH, we have:
sin(mHGP) = height / GP
5 / 13 = height / 12
height = 60/13
The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:
height / (h2+height) = GH / AB
(60/13) / (h2 + (60/13)) = 13/39 = 1/3
180 / 13 = h2 + (60/13)
h2 = 120/13
Then the area of the parallelogram is:
Area = AB * h2 = 39 * 120/13 = 360 in2
Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?
Answer:
16.50 dollars
Step-by-step explanation:
We can use proportion
8 euros --- 11 dollars
12 euros --- x dollars
x = 12 * 11/8 = 16.5= 16.50 dollars
Answer:
16.5 dollars
Step-by-step explanation:
Let's make a proportion using the following setup.
dollars/euros=dollars/euros
Tommy can get 11 dollars for 8 euros. We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.
11 dollars/8 euros=x dollars/12 euros
11/8=x/12
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.
12*(11/8)=(x/12)*12
12*11/8=x
12*1.375=x
16.5=x
Tommy can get $16.50 with 12 euros.
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9. Which equations represent the situation? A. x + y = 3 and x minus 3 y = negative 27 B. x + y = 3 and x minus 3 y = negative 9 C. x minus y = 3 and x minus 3 y = negative 27 D. x minus y = 3 and x minus 3 y = negative 9
Answer:
D. x - y = 3 and x - 3 y = - 9
Step-by-step explanation:
The descriptions above describe the equation of choice D, so I pick this answer.
Answer:
D
Step-by-step explanation:
just took the test
There are 7 red cards and 13 blue cards
in a deck of cards. If Yuki randomly
selects a card from the deck, what is the
probability that it is a red card?
Answer:
7/20
Step-by-step explanation:
#red cards/total # of cards
7/(7+13)
7/20
Answer:
7/20
Step-by-step explanation:
Please hurry
What function is represented in the table?
Answer:
B. 3(2^x)
Step-by-step explanation:
3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.
A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be represented by
S(r) - 0.12. where r is the radius of the pizza in inches.
What is the diameter of a pizza that costs $26.327 Round to the nearest hundredth.
Answer:
$26.300
Step-by-step explanation:
well if its 5 or more u round to the next whole number but if its 5 or under you just round whatever ur rounding into the same number but whole
The parent function f(x) = 5 ^ x has been venically compressed by a factor of one-half shifted to the three units and up two units choose the correct function
Answer:
See the explanation
Step-by-step explanation:
The given function is:
f(x) = 5ˣ
Transformation of a parent function is given by the formula:
g(x) = k · f(x + a) + b
Where
k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1
f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0
f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0
In the question it is given:
k = 1/2
Shifts right by 3 units ⇒ a = -3
Shift up by 2 units ⇒ b = 2
Substitute in the formula:
g(x) = (1/2) · f(x - 3) + 2
[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]
what the the perimeter of this polygon?
Answer:
21.7
Step-by-step explanation:
you add all along the shape and it adds up to 21 and 21.7 is the only answer that has 21 in it
hope this helps.
The diameter of a sphere is 2 ft. What is the sphere's volume? Round to the nearest tenth.
A) 4.2 ft3
B) 8.1 ft3
C) 16.8 ft3
D) 33.5 ft3
Answer:
4.19 ft ^3 or A.
Step-by-step explanation:
Answer:
A) 4.2 ft3Step-by-step explanation:
option a is correct ✔✔✔
12. Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.
A) c = 25 + 10p + 5h
B) c = 25 – 10p – 5h
C) c + 25 = 10p + 5h
D) c = 25 + 10 + 5
Answer:
Step-by-step explanation:
the answer is A
BECAUSE the fixed charged or the charged that is always there is 25 dollars plus and additional cost for 10 dollars per person plus additional cost depending on how many hours u stay past 10 am
A wheelchair ramp is 8.0 m long. The angle of inclination is 10°. Calculate the rise of
the ramp to the nearest tenth of a meter.
Answer:
The height of the ramp is 1.39 m.
Step-by-step explanation:
We have,
A wheelchair ramp is 8.0 m long
The angle of inclination is 10°
It is required to find the rise of the ramp.
Here, hypotenuse is 8 m and angle of inclination is 10°.
Using trigonometry to find it.
[tex]\sin\theta=\dfrac{x}{8}[/tex]
x is rise of the ramp
[tex]x=\sin(8)\times 10\\\\x=1.39\ m[/tex]
So, the height of the ramp is 1.39 m.
What is the coordinate of point P that lies along the directed line segment from Q(2,5) to R7, 12) and partitions the segment in the ratio of 3 to 2?
Your answer.
0 (3, 42)
O(4.5, 8.5)
O (5,9.2)
O (5,7)
Clear answer
Answer:
Step-by-step explanation:B
What is the value of [1.1]? –2 –1 0 1
Answer:
The answer is -2.
Step-by-step explanation:
Answer:
-2 :D
Step-by-step explanation:
Just did the test:)
Which statement about the figures shown below is true?
PLS HEP ASP BEST GETS FOLLOW AND BRAINLIEST
HELP!!! Please , solve this
Answer:
Equivalent
Step-by-step explanation:
15/25 and 3/5 are equivalent hope this helps
Answer:
I also think it's equivalent because it has a equal sign but I'm dumb so don't trust my answer.
Step-by-step explanation:
The line has a slope of 7/10 and a y intercept of 3/10. Find the equation of the line.
Answer:
y=7/10+3/10
Step-by-step explanation:
(30 points)PLEASE HELP! LOVE Y'ALL SO MUCH THX! If x=3b and y= 2/6b+4 , what is y in terms of x?
(A) 2 x+4 (B) 1 x+2 (C) 2x (D) x+2 (E) 2x+4
Answer:
y=(1/9)x+4
Step-by-step explanation:
x=3b
b=(1/3)x
y=2/6(1/3)x+4
y=(2/18)x+4
y=(1/9)x+4
Answer:
y = 1/(x+2)
Step-by-step explanation:
x=3b and y= 2/(6b+4)
Rewriting the second equation by factoring out 2
y=2/ 2(3b+2)
We know that 3b = x
y=2/ 2(x+2)
Canceling the 2 in the numerator and denominator
y = 1/(x+2)
Evaluate when a=-6, b= 5, C= -2:
a3 - b + 402
f
Select one:
stion
a. 109
O b. 205
O c. 81
O d. -205
Answer:
c 81
Step-by-step explanation:
what is 6(1-10p)-7 jfghhdddcv
Answer:
-1 -60p
hope it helps
Step-by-step explanation:
6 (1-10p) -7
First solve 6(1-10p) using distributive property of subtraction
(6*1)-(6*10p) -7
= 6-60p -7
Add the constants of the equation
= (6-7) -60p
= -1 - 60p
Answer:
-60p-1
Step-by-step explanation:
Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p
So then the answer is -60p-1.
Please help me I need to submit this asap
Answer:
D
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here { a, b ] = [ - 1, 2 ], thus
f(b) = 4 ← from (2, 4 )
f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus
average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D
Explain in words how to use the side lengths of a triangle to determine if the triangle is a right, acute, or obtuse triangle.
basically write the triangle in degree language like this is a acute angle because this is a 70* degree angle and talk more
Explain how a marshland could prevent flooding in a nearby town.
Answer:
Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.
Step-by-step explanation:
Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!