Answer:
Two other exponents that results in 256 are [tex]16^2[/tex] and [tex]4^4[/tex]
Step-by-step explanation:
Given
[tex]2^8 = 256[/tex]
Required
Write two exponential expression that equals 256
[tex]2^8 = 256[/tex]
Expand 8 as 4 * 2
[tex]2^{4*2} = 256[/tex]
Using laws of indices, we have
[tex](2^4)^2 = 256[/tex]
2⁴ = 16; So, we have
[tex]16^2 = 256[/tex] --- This is one
Recall that
[tex]2^{4*2} = 256[/tex]
This can also be rewritten as
[tex]2^{2*4} = 256[/tex]
Using laws of indices, we have
[tex](2^2)^4 = 256[/tex]
2² = 4; So, we have
[tex]4^4 = 256[/tex] --- This is another one
Hence, two other exponents that results in 256 are [tex]16^2[/tex] and [tex]4^4[/tex]
X-32>32+9x Thx help ASAP
Answer:
Step-by-step explanation:
hello :
x-32>32+9x
means : x-9x>32+32
-8x >64
dvid by :8 -x >8 .......continu
The line $x = 4$ is an axis of symmetry of the graph of $y = ax^2 + bx + c.$ Find $\frac{b}{a}$.
Answer: b/a = -8
Step-by-step explanation:
When we have a quadratic equation:
y = a*x^2 + b*x + c.
The vertex of this function (and the axis of symetry) is located at:
x = -b/2a
Now, we know that the axis of symmetry is at x = 4.
then we have:
4 = -b/2a
And we want to find b/a.
Then we start with:
-b/2a = 4.
first we multiply by 2 in each side:
2*(-b/2a) = -b/a = 2*4 = 8.
now we multiply by -1 in each side:
-1*(-b/a) = b/a = -1*8.
Then we have: b/a = -8
Read the question and help me with that, please.
Answer:
B. -1
Step-by-step explanation:
examples:
1 and -1
1/2 and -2
Answer:
B=-1
Step-by-step explanation:
diagonals are perpendicular line, the slope of perpendicular line are opposite reciprocal.
example if the slope line AC =3
the slope of BD=-1/3
-1/3*3=-1
Bryan drives up to a traffic circle from Elm Street. He drives 15 meters around the circle is a perfect circle with a radius of 10 meters, at what angle is Maple Street to Elm Street?
Answer:
85.9°Step-by-step explanation:
Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;
Length of an arc = θ/360 * 2Πr where r is the radius of the circle.
Given r = 10m and length of the arc = 15m
On substituting;
15 = θ/360 * 2π(10)
15 = θ/360 * 20π
θ/360 = 15/20π
θ/360 = 0.2387
θ = 360* 0.2387
θ = 85.9°
Hence Maple street is at 85.9° to Elm street.
Answer:
[tex]\approx \bold{85.98^\circ}[/tex]
Step-by-step explanation:
Given that
Radius of circle = 10 metres
Bryan drives 15 metres around the circle.
To find:
The angle of Maple street to Elm street = ?
Solution:
Kindly refer to the image attached.
The Elm street meets the circle at A.
Maple street at B.
Given that arc length AB = 15m
Radius of circle = 10 m
We have to find the angle of arc.
Let us use the formula:
[tex]\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}[/tex]
Converting to degrees:
[tex]\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}[/tex]
Which names accurately describe figure PQRS? Select three options.
parallelogram
pentagon
rectangle
rhombus
trapezoid
Answer:
parallelogram, rectangle, rhombus
Step-by-step explanation:
Answer:
heyooo i am here to clarify the answer is {parallelogram, rectangle and rhombus}
Step-by-step explanation:
in short, the answer is
A.
C.
D.
i hope you do good on your test !!
-cookie <3
The San Andreas fault separates the pacific plates from the North America plate. The pacific plate moved northward relative to the North American plate at a rate of 5.7 cm/year. Currently LA and San Francisco are about 470km away from each other, how long will it take for LA and SF to be next to each other? Answer in years
Answer:
8.2 million years
Step-by-step explanation:
The time can be found from ...
time = distance/speed
time = (47.0×10^4 m)/(5.7×10^-2 m/yr) = 8.2×10^6 yr
It will take about 8.2 million years for LA to have the same latitude as SF.
__
The given numbers each have 2 significant digits, so the answer is appropriately rounded to 2 significant digits.
Find the answer please
1st set = 4 letters
2nd set = 4x 4 = 16 letters
3rd set = 16 x 4 = 64 letters
4th set = 64 x 4 = 256 letters
5th set = 256 x 4 = 1,024 letters
6th set =1024 x 4 = 4,096 letters
7th set = 4096 x 4 = 16,384 letters
8th set = 16,384 x 4 = 65,536 letters
Each letter cost 2
Total cost = 65,536 x 2 = 131,072
is 50 square root plus 2 square root irrational and equal to which of these four options
Answer:
Yes, 50 square root plus 2 square root irrational
[tex] 6\sqrt{2}[/tex]
Step-by-step explanation:
[tex] \sqrt{50} + \sqrt 2[/tex]
[tex]= \sqrt{25\times 2} + \sqrt 2[/tex]
[tex]= 5\sqrt{2} + \sqrt 2[/tex]
[tex]= 6\sqrt{2}[/tex]
Since, [tex]\sqrt{2}[/tex] is irrational.
Therefore, [tex] \sqrt{50} + \sqrt 2[/tex] is also irrational and
[tex] \sqrt{50} + \sqrt 2=6\sqrt{2}[/tex]
please help :) Which expression is equal to 6+4×5 ? A 10 times 5 B 6 plus 20 C 6 plus 9
Answer:
B)
Step-by-step explanation:
6 + 4*5 = 6 + 20
= 26
According to BODMAS, multiplication should be done and then addition
Answer:
B
Step-by-step explanation:
By pemdas - multiplication first
6+4x5
6+(20)
so, b - 6 + 20 is the answer
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two over three the distance from point P to point R
Answer:
7/3
Step-by-step explanation:
The distances have the ratio ...
(Q -P) = (2/3)(R -P)
Q = P +(2/3)R -(2/3)P = (2R +P)/3
Qy = (2Ry +Py)/3 = (2·0 +7)/3 = 7/3
Someone help me solve this expression please
Step-by-step explanation:
To solve, we have to remember PEMDAS (Parenthesis, Exponent, Multiply / Divide, Add or Subtract).
Here, the curly brackets act as parenthesis, so we solve that first.
• 3 + 7 = 10
Then, we multiply by 4.
• 10 • 4 = 40
Finally, we add 6 to 40.
• 40 + 6 = 46.
Our final answer: 46
Answer:
46
Step-by-step explanation:
We are asked to evaluate the expression. Remember to solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
[tex]6+4 * (3+7)[/tex]
Solve inside the parentheses. Add 3 and 7.
⇒3+7=10
[tex]6+4*(10)[/tex]
Multiply 4 and 10.
⇒4*10=40
[tex]6+40[/tex]
Add 6 and 40.
⇒6+40=46
[tex]46[/tex]
When the expression 6+4*(3+7) is evaluated, the result is 46.
I need help to solve this please help me...
Your question has been heard loud and clear/
we know,
4cos³x = 3cosx + cos3x
put here, x = 20°
then, 4cos³20° = 3cos20° + cos3 × 20°
= 3cos20° + cos60°
cos³20° = (3cos20° + cos60°)/4 -------(1)
similarly ,
4sin³x = 3sinx - sin3x
put here, x = 10°
4sin³10° = 3sin10° - sin30°
sin³10° = (3sin10° - sin30°)/4 -----------(2)
now,
LHS = cos³20° + sin³10°
put equations (1) and (2)
= 1/4(3cos20° + cos60°) + 1/4 ( 3sin10° - sin30°)
= 1/4( 3cos20° + cos60° + 3sin10° - sin30°)
we know,
cos60° = sin30° = 1/2
= 1/4 ( 3cos20° + 3sin10°)
= 3/4(cos20° + sin10°) = RHS
hence proved
Thank you
Answer: see proof below
Step-by-step explanation:
Use the following identities & Unit Circle calculations:
4cos³x = 3cos x + cos 3x
--> cos³x = (1/4)[3cos x + cos 3x]
4sin³x = 3sin x - sin 3x
--> sin³x = (1/4)[3sin x - sin 3x]
cos 60° = sin 30° = (1/2)
Proof: LHS → RHS
Given: cos³ 20° + sin³ 10°
Triple Angle Identity: (1/4)[3cos 20° + cos 3·20°] + (1/4)[3sin 10° - sin 3·10°]
Simplify: (1/4)[3cos 20° + cos 60° + 3sin 10° - sin 30°]
(1/4)[3cos 20° + (1/2) + 3sin 10° - (1/2)]
(1/4)[3cos 20° + 3sin 10°]
Factor: (3/4)[cos 20° + sin 10°]
Proven: (3/4)[cos 20° + sin 10°] = (3/4)[cos 20° + sin 10°] [tex]\checkmark[/tex]
How can you rewrite 12
−
− (-5) as an addition problem?
Answer:
12+5
Step-by-step explanation:
negative times negative is postive
how many terms are in the equation 14x^2 - 12x + 5
Essentially any like term is a variable with the same letter at the end or the same letter and power.
In this equation, we are given:
a variable, a letter, and a powera variable, and a lettera variableThey are all different, so there are 3 different terms in the equation
Best of Luck!
Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .? A. f(1) = 4, f(n + 1) = –2f(n) for n ≥ 1 B. f(1) = 4, f(n + 1) = f(n) – 2 for n ≥ 1 C. f(1) = 4, f(n) = 12f(n + 1) for n > 1 D. f(1) = 4, f(n) = –12f(n – 1) for n > 1
Answer: D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]
Step-by-step explanation:
The given sequence: [tex]4, -2,1,\dfrac{-1}{2},\dfrac14,....[/tex]
Here, first term: [tex]f(1)=4[/tex]
Second term: [tex]f(2)=-2[/tex]
Third term : [tex]f(3)=\dfrac{-1}{2}[/tex]
It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.
Common ratio: [tex]r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
So, [tex]f(n+1)=\dfrac{-1}{2}f(n)[/tex] [as in G.P. nth term= [tex]a_{n+1}=ar^n[/tex]]
Hence, correct option is D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]
if a square + b square + c square is equal to 50 and AB+ BC + CA equal to 3 find a + b + c
Step-by-step explanation:
Taking LHS of the identity:
(a + b +c)2
This can also be written as:
= (a + b + c) (a + b + c)
Multiply as we do multiplication of trinomials and we get:
= a(a + b + c) + b(a + b + c) + c(a + b + c)
= a2 + ab + ac + ab + b2 + bc + ac + bc + c2
Rearrange the terms and we get:
= a2 + b2 + c2 + ab + ab + bc + bc + ac + ac
Add like terms and we get:
= a2 + b2+ c2 + 2ab + 2bc + 2ca
Hence, in this way we obtain the identity i.e. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
«
-7 1/3 written as a fraction is
Answer:
-22/3
Step-by-step explanation:
-22/3 is the answer as a improper fraction.
Step 1
Multiply the denominator by the whole number
3 × 7 = 21
Step 2
Add the answer from Step 1 to the numerator
21 + 1 = 22
Step 3.
Write answer from Step 2 over the denominator
22/3
Answer:
-22/3
Step-by-step explanation:
7x3= 21
Which Natural Numbers are not Integers?
Answer:
Step-by-step explanation:
fraction are not integers
Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12
2m ∙ 2n would be the same as _____.
A.2m + n B.2m - n C.2mn D.4mn
23^0 is equal to _____.
A.0 B.1 C.23 D.1/23
Step-by-step explanation:
1. 6 factors of 2 means, 2 multiplied by itself 6 times. It can be written in the form of exponents as 2⁶.
2. [tex]2^m{\cdot} 2^n[/tex]
The law of exponent is : [tex]x^a{\cdot} x^b=x^{a+b}[/tex]
So,
[tex]2^m{\cdot} 2^n=2^{m+n}[/tex]
The correct option is (A).
3. If the power of any number is 0, then the value of that number is equal to 1.
So,
[tex]23^0=1[/tex]
Hence, this is the required solution.
Lisa flips 2 fair coins.
What is the probability of obtaining two tails?
Give your answer in its simplest form.
When Lisa flips 2 fair coins, the probability of obtaining two tails is 1/4.
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
Number of coins flips by Lisa = 2,
To find the probability of obtaining two tales,
The sample pace of flipping two coins = {(H, H), (H, T), (T, H), (T, T)}
The tale on both coins can come one time.
So the probability = number of favorable outcome / total observation
= 1 / 4
The required probability of obtaining two tails is 1 /4.
To know more about Probability on:
https://brainly.com/question/12478394
#SPJ3
For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
temperature can be described by the formula t = -0.0035a +g, in which t is the atmospheric
temperature in degrees Fahrenheit, a is the altitude, in feet, at which the atmospheric temperature is
measured, and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the
atmospheric temperature is -17.4°F and the ground temperature is 40 °F, what is the altitude?
The equation for a is a =
If the atmospheric temperature is -17.4 °F and the ground temperature is 40 °F, then
a= feet.
Answer:
a=16400 feet
Step-by-step explanation:
t = -0.0035 a +g
-17.40 = -0.0035 a+40
-17.40-40=-0.0035a+40-40
-57.40=-0.0035a
a = -57.40/-0.0035
a=16400 feet
Solve for x:
5x – 1 = x+ 27
Hey mate!
Question:
5x – 1 = x+ 27
Answer:
x=7
Step-by-step explanation:
Step 1:
5x-x=27+1
Step 2:
4x=28
step 3:
x=28÷4
step 4:
x=7
hope it helped you:)
What is the domain and range of..... please help
Answer:
For domain,
9-x2>=0
or,(x+3)(x-3)<=0
using wavy curve method,we get
Domain=[-3,3]
As domain matches only in first option,so the correct option is option first
In a city, the record monthly high temperature for March is 56 degrees Fahrenheit. The record monthly low temperature is -4 degrees Fahrenheit. What Is the range of temperature for March?
Answer:
60 degrees.
Step-by-step explanation:
In mathematics, a "range" is described as the difference between the lowest and highest numbers in a data set. To find the range, we must subtract. (This is what the word "difference" indicates in math)
56 - (-4) =
56 + 4 = 60 (the negative signs cancel out)
Thus, the range of temperature for March is 60 degrees :) Hope this helped!
God bless and stay safe.
a chemist is in 357 mL of a solution of acid and water. if 16.9% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth.
Answer:
The quantity of acid in the solution is 47.1 ml.
Step-by-step explanation:
The gas tank of Tyrell's truck holds 19.8. Gallons. When the tank is empty, Tyrell fills it with gas that costs $3.65 per gallon. About how much will it cost to fill the tank?
whats 20 x 213 =? REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
4260
Step-by-step explanation:
Answer:
4260
Step-by-step explanation:
3 Which property can be used to expand the expression
[tex] - 2( \frac{3}{4} \times + 7)[/tex]
Answer: Distributive Property
Step-by-step explanation:
[tex]-2\bigg(\dfrac{3}{4}x+7\bigg)\\\\\\\text{DISTRIBUTE -2 to both terms:}\\-2\bigg(\dfrac{3}{4}x\bigg)+(-2)7\\\\\\\text{Simplify:}\\-\dfrac{3}{2}x-14[/tex]
Please please please please help
Answer: x^2+4x+3
Step-by-step explanation:
f(g(x)) >>> replace the g(x) with the given information
f(x+2) >>> replace every (x) in the given f(x) with (x+2)
(x+2)^2-1 >>> foil it out
x^2+4x+4-1 >>> simplify
x^2+4x+3 >>> ANSWER!! :)
Six times the square of a number.
Answer:
6(x^2)
Step-by-step explanation:
The square of a number is x^2 and then you multiply that by six so it has to have parenthesis