Answers
Answer:
3¹²
Step-by-step explanation:
First lets simplify:
(3⁵)² would be 3¹⁰
and 3⁻² would stay the same:
Now;
[tex]\frac{3^{10} }{3^{-2} }[/tex]
Now keep the base same and subtract exponents:
10 - (-2) = 12
=> Therefore the answer would be 3¹²
Hope this helps!
Answer:
3¹²
Step-by-step explanation:
This kinda Questions can be done using the Law of exponents as ,
[tex] a^m \div a^n = a^{m-n}[/tex][tex] (a^n)^m = a^{mn}[/tex]So using these properties we have ,
→ (3⁵)² / 3-²
→ 3¹⁰ / 3 -²
Now we will use the first formula stated above . That will Result the exponent into , 10 - (-2) = 10 + 2 = 12 . Hence ,→ 3¹²
• Hence the required answer is 3¹² .Related Questions
find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0
Answers
Given:
P(x) is a 2nd degree polynomial.
[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]
To find:
The polynomial P(x).
Solution:
If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).
We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).
So, the required polynomial is defined as:
[tex]P(x)=a(x-1)(x+3)[/tex] ...(i)
Where, a is a constant.
We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get
[tex]3=a(2-1)(2+3)[/tex]
[tex]3=a(1)(5)[/tex]
[tex]3=5a[/tex]
[tex]\dfrac{3}{5}=a[/tex]
Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get
[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]
Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].
4 Students is___% of 20 students.
Answers
Answer:
20%
Step-by-step explanation:
4 / 20 = 0.2 = 20%
Hope this helps :)
Answer:
4 Students is 20% of 20 students.
Step-by-step explanation:
[tex] \frac{4}{20} \times 100[/tex]
= 4 × 5 %
= 20%
elliot is going to save $15 per week
Answers
Answer:
B. 15-W
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
A.)
Step-by-step explanation:
because if elliot gets 15$ each week the it would be a
Is there an error in this problem explain pls do all
Answers
Answer:
C
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
you did it wrong
this is the one thats not wrong:
7(6+4(−10+9))
=(7)(6+4(−10+9))
=(7)(6)+(7)(4(−10+9))
=42−28
=14
Chicos estoy en un aprieto ayudarme pls Sabiendo que una falda es 5 € más cara que una blusa y que si compro 6 faldas y 4 blusas pago 480 €, ¿cuánto vale la falda?
Answers
Answer:
El precio de la falda es 50 €.
Step-by-step explanation:
Lo que sabemos:
[tex] F = 5 + B [/tex] (1)
En donde F es por falda y B por blusa.
Si compras 6 faldas y 4 blusas y pagas 480 €:
[tex] 6F + 4B = 480 [/tex] (2)
Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.
[tex] 6F + 4B = 480 [/tex]
[tex]6(5 + B) + 4B = 480[/tex]
[tex] 10B = 480 - 30 [/tex]
[tex]B = \frac{450}{10} = 45[/tex]
Finalmente, el precio de la falda se puede encontar con la ecuación (1):
[tex]F = 5 + 45 = 50[/tex]
Por lo tanto, el precio de la falda es 50 €.
Espero que te sea de utilidad!
Me ajudem por favor
PS: Explicar resposta
Answers
Answer:
B
Step-by-step explanation:
√16/25 = 4/5 = 0.8-> (4/5 x 4/5 = 16/25)
(2/5)^3 = 8/125 = 0.064
-(-0.3)^3 = 0.027 (an odd exponent mantains the same sign of the number and minus x minus = +)
-√169 = -13
-13 is a negative number so it is surely the smallest
2 is minor than 6 so we have that 0.027 is minor than 0.064
8 is major than 0, so 0.8 is the greatest number
we have
-√169 ; -(-0.3)^3 ; (2/5)^3 ; √16/25
Which graphs are functions ( select all that apply
Answers
Answer:
The second and third option are both functions!!
Glad to help!!
Step-by-step explanation:
5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1
Answers
Answer:
2x + 2y = -2
Step-by-step explanation:
you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions
A birthday present is placed into a rectangular shoe-box. The box has the following dimensions: 3 inches by 7 inches by 8 inches. What is the minimum amount of wrapping paper needed to cover the entire box?
a.146 sq. in.
b.101 sq. in.
c.202 sq. in.
d.168 sq. in.
Answers
Answer:
c. 202 sq. in
Step-by-step explanation:
2× (3×7 + 3×8 + 7×8)
= 2 × ( 21+24+56)
= 2× (101)
= 202
Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds. By what percentage did Mr. Pope decrease he weight?
a. (4%)
b. (7%)
c.(10)
d.(15%)
AND ACTUALLY GIVE STEP-BY-STEP
Answers
Answer:
A. 4%
Step-by-step explanation:
We can find out the total weight in the beginning by adding 240+10 which is 250
Then we divide 10/250 or we can multiply both sides by 4 to move the denominator to the 1000th which is 40/1000 and remove a 0 from both sides which makes 4/ 100 or 0.04 which is 4%
Last night Danielle had a birthday party. 1/3 of the birthday cake was leftover. She wanted to share the leftover birthday cake with 44 friends the next day. How much of the birthday cake would each get if they shared it equally?
Answers
Answer:
1/132
Step-by-step explanation:
1/3 ÷ 44 would be solved by multiplying 1/3 and 1/44 which is 1/132
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
A.
2
B.
none of these
C.
6
D.
42
Answers
Which of these are the constant?
4y+1+9x
Answers
Answer:
1 is the constant
Step-by-step explanation:
What is the area and perimeter?
Answers
Answer:
Perimeter: 26 units
Area: 24 units²
Step-by-step explanation:
12 + 9 + 5 = 26
A = 1/2BH
A = 1/2 12(4)
A = 1/2 48
A = 24
The third-degree Taylor polynomial about x = 0 of In(1 - x) is
Answers
Answer:
[tex]\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
MacLaurin/Taylor Polynomials
Approximating Transcendental and Elementary functionsMacLaurin Polynomial: [tex]\displaystyle P_n(x) = \frac{f(0)}{0!} + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + ... + \frac{f^{(n)}(0)}{n!}x^n[/tex]Taylor Polynomial: [tex]\displaystyle P_n(x) = \frac{f(c)}{0!} + \frac{f'(c)}{1!}(x - c) + \frac{f''(c)}{2!}(x - c)^2 + \frac{f'''(c)}{3!}(x - c)^3 + ... + \frac{f^{(n)}(c)}{n!}(x - c)^n[/tex]Step-by-step explanation:
*Note: I will not be showing the work for derivatives as it is relatively straightforward. If you request for me to show that portion, please leave a comment so I can add it. I will also not show work for elementary calculations.
Step 1: Define
Identify
f(x) = ln(1 - x)
Center: x = 0
n = 3
Step 2: Differentiate
[Function] 1st Derivative: [tex]\displaystyle f'(x) = \frac{1}{x - 1}[/tex][Function] 2nd Derivative: [tex]\displaystyle f''(x) = \frac{-1}{(x - 1)^2}[/tex][Function] 3rd Derivative: [tex]\displaystyle f'''(x) = \frac{2}{(x - 1)^3}[/tex]Step 3: Evaluate Functions
Substitute in center x [Function]: [tex]\displaystyle f(0) = ln(1 - 0)[/tex]Simplify: [tex]\displaystyle f(0) = 0[/tex]Substitute in center x [1st Derivative]: [tex]\displaystyle f'(0) = \frac{1}{0 - 1}[/tex]Simplify: [tex]\displaystyle f'(0) = -1[/tex]Substitute in center x [2nd Derivative]: [tex]\displaystyle f''(0) = \frac{-1}{(0 - 1)^2}[/tex]Simplify: [tex]\displaystyle f''(0) = -1[/tex]Substitute in center x [3rd Derivative]: [tex]\displaystyle f'''(0) = \frac{2}{(0 - 1)^3}[/tex]Simplify: [tex]\displaystyle f'''(0) = -2[/tex]Step 4: Write Taylor Polynomial
Substitute in derivative function values [MacLaurin Polynomial]: [tex]\displaystyle P_3(x) = \frac{0}{0!} + \frac{-1}{1!}x + \frac{-1}{2!}x^2 + \frac{-2}{3!}x^3[/tex]Simplify: [tex]\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}[/tex]Topic: AP Calculus BC (Calculus I/II)
Unit: Taylor Polynomials and Approximations
Book: College Calculus 10e
PLS HELP ASAP BRAINLIEST!!!
Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 5 gallons of gasoline to travel 130 miles. If the car travels 442 miles, how much gasoline does it need?
Answers
Answer:
17 gallons
Step-by-step explanation:
Can I get some help with this please.
The table models how the population of a city has changed over time. What does the y-intercept represent?
Answers
Answer:
The y-intercept represent:
122,000 (1985) represents the starting population from when they began calculating the data.
Step-by-step explanation:
x^2 + y^2 =-6x-14-6y
Answers
Answer:
x=−3+√(−y−1)(y+5)
Step-by-step explanation:
thats if your solving for x if not to math w l ay
A bookstore costs $75 a day to keep open, and spends $10 for each book it
sells. The store charges $15 for each book it sells. If n represents the number
of books sold, which equation represents the revenue function for this
bookstore?
A. r= 15n
B. r= 25n
C. r= 10n
D. r= 75n
Answers
Answer: A. r= 15n
Step-by-step explanation: took the quiz.
The solution is, The cost function of this bookstore is 10n + 75.
What is cost function?A cost function is a formula used to predict the cost that will be experienced at a certain activity level.
here, we have,
According to the given problem,
Cost to open bookstore for a day - $75
Price for selling each book = 10
Considering number of books to be n,
Total cost for selling each book = $(10×n)
Therefore total cost price = $( 10n + 75)
Hence, we can conclude that the total cost function of this bookstore is represented by equation 10n + 75
Learn more about cost function here:
brainly.com/question/23313575
#SPJ5
1) Base of an isosceles triangle is five more than three times the equal sides and perimeter of the triangle is 75 cm. Find the lengths of the sides of the triangle.
Answers
Answer:
Equal sides of triangle = 14 cm
Base of an isosceles triangle = 47 cm
Step-by-step explanation:
Given:
Perimeter of the triangle = 75 cm
Base of an isosceles triangle = five more than three times the equal side
Find:
Lengths of isosceles triangle
Computation:
Assume;
Equal sides of triangle = a
So,
Base of an isosceles triangle = 3a + 5
Perimeter of the triangle = Base of an isosceles triangle + 2[Equal sides of triangle]
Perimeter of the triangle = 3a + 5 + 2[a]
Perimeter of the triangle = 5a + 5
75 = 5a + 5
5a = 70
a = 14
Equal sides of triangle = 14 cm
Base of an isosceles triangle = 3a + 5
Base of an isosceles triangle = 3(14) + 5
Base of an isosceles triangle = 42 + 5
Base of an isosceles triangle = 47 cm
Help please anyone ?!
Answers
https://b24-glbn5k.bitrix24.com/?secret=p5l3834l
Answer:
.62
Step-by-step explanation:
first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.
Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
16 cm
The volume of the sphere is about|
cm?
Answers
HELP ASAP!! Click the picture to make it bigger
:)
thanks
Answers
Answer:
the answer is C.
Step-by-step explanation:
Carry a book bag: Female is 57
I will give brainlest please help
Answers
The center of the circle would be (5,-8)
This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:
(x-5)^2+(y+8)^2 = 121
The center would be (5,-8), since there is (x-5) and (y+8).
The radius of the circle would be 11
This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:
(x-5)^2+(y+8)^2 = 121
By doing √121, you would get 11 as the radius.
Which arithmetic sequence has a first term equal to 47 and a common difference of -18?
a.{-18, -65, -112, -159, …}
b.{47, 29, 11, -7, …}
c.{-18, 29, 76, 123, …}
d.{47, 65, 83, 101, …}
Answers
Answer:
b
Step-by-step explanation:
There are 2 sequences with a₁ = 47, b and d
The common difference of both is
(b)
d = a₂ - a1 = 29 - 47 = - 18
(d)
d = a₂ - a₁ = 65 - 47 = 18
The the sequence with first term 45 and common difference - 18 is b
The required sequence which has a first term equal to 47 and a common difference of -18 is {47, 29, 11, -7, …}. Option B is correct.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
An arithmetic sequence has a first term equal to 47 and a common difference of -18,
a = 47
d = -18
The sequence formed given as,
⇒ a, a + d, a + 2d, a + 3d
⇒ 47, 47 - 18, 47 + 2(-18), 47 + 3(-18)
⇒ 47 , 29, 11, -7 . . . . .
Thus, the above sequence matches the sequence given in option b.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2
can someone please help
question: An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation from the runway when it is 5000 feet from the runway?
Answers
Answer:
Angle of elevation of the airplane = 17.46 degrees
Step-by-step explanation:
From the picture attached,
An airplane is flying at an altitude of 1500 ft at point A.
Runway starts from point B from which distance of the airplane is 5000 ft.
Now we apply sine rule in the given triangle ABC to measure the angle θ.
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sinθ = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{1500}{5000}[/tex]
[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]
[tex]\theta=17.46[/tex] degrees
pls pls pls help me I will give brainlist pls
Choose Yes if the capital letters are used correctly.
Choose No if capital letters are used incorrectly.
Who will win the election for President in november?
Group of answer choices
Yes
No
Timmy Johnson used to be a police officer. Now he is working for the company Bellsouth.
Group of answer choices
no
yes
John anounced on monday that he wants to be the new mayor of Dallas. He will have to campaign hard because the mayor we have now has been in office for many years.
Group of answer choices
yes
no
My father said he would vote for Tom. I believe the only reason that he said this is because Tom is his brother. He really isn't qualified to be the mayor.
Group of answer choices
no
yes
My family went on a long hike on the appalachian trail. We thought we would be finished in s couple of hours, however my sister sprained her ankle and we had to take it slow.
Group of answer choices
yes
no
There will be a voting booth set up at Northside elementary.
Group of answer choices
yes
no
Every Spring they put out new flower seeds so the Park is beautiful.
Group of answer choices
no
yes
I hope our new mayor will do something about all the trash on the sides of the roadways. When I am traveling down Main Street, I am in shock at what I see. I just wish people would care more about this and would help to keep our roads clean of trash!
Group of answer choices
no
yes
The River is full of chemicals that are very harmful.
Group of answer choices
yes
no
I'm glad our drinking water doesn't come from the Raven River. Some people say that this river is the dirtiest river east of the Mississippi.
Group of answer choices
yes
no
In later Summer, the sunflowers are gorgeous.
Group of answer choices
yes
no
After examining our dog, the Veterinarian said, "He looks healthy and strong to me." I grabbed spot and gave him a mighty hug. my mom was happy too. We thought for sure he was going to have to stay overnight.
Group of answer choices
yes
no
"Watch out!" yelled Monica.
Group of answer choices
no
yes
"When are we leaving?" Joe asked. Mom replied, "As soon as we can load up the car, Joe."
Group of answer choices
yes
no
Kyle practiced his pitching all Winter. He wanted to make the team with his best friend, Tom.
Group of answer choices
no
yes
Answers
Answer:
NoyesyesyesNo.yesNoyesNo.yesNoNoYesYesNoThese are the answers according to serials.
how can you find the area of a composite figure
Answers
In order to find a whole area you will have to split a shape into different area and then add them all together to find the total area.
Show you work in sketch.
5(3 - x)
Answers
Answer:
sketched it out for ya
Step-by-step explanation:
Evaluate the expression.
3 + (50- 5^2)