Answer:
exponential expression:
8ᵇ = 2
log8(2) = 0.333333333 or 1/3
Answer:
log8(2) = 1/3
Step-by-step explanation:
I don't know if they mean this by an exponential expression but:
set x = log8(2), then
8^x = 8^(log8(2))
By logarithmic properties:
8^x = 2.
notice that 8 = 2^3.
By exponential properties:
8^x = (2^3)^x = 2^(3x)
So 2^(3x) = 2 = 2^1.
Comparing exponents gives:
3x = 1 <=> x = 1/3.
So log8(2) = 1/3.
(WILL GIVE BRAINLIEST, TIMED) - Suppose z = cos(2pi/3)+isin(2pi/3) . What is z^4?
Answer:
B
Step-by-step explanation:
edge
Answer:
B. 1cos(8pi/3) + i sin(8pi/3)
Step-by-step explanation:
1 1/6 as an improper fraction
Answer:
The mixed number 1 1/6 converted into an improper fraction is 7/6.
Step-by-step explanation:
The improper fraction representation after converting of 1 1/6 is 7/6 where numerator is 7 and denominator is 6
To convert a mixed number to an improper fraction, we follow these steps:
Multiply the whole number by the denominator of the fraction.
In this case, multiply 1 (the whole number) by 6 (the denominator), which gives 6.
Add the numerator to the result obtained in step 1.
The numerator in this case is 1. Adding 1 to 6 gives 7.
Place the result from step 2 as the numerator of the fraction, and keep the denominator the same.
The denominator remains 6.
Therefore, the improper fraction representation of 1 1/6 is 7/6.
Learn more about converting fractions here:
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Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank
so that he knows how much paint to purchase. What is the surface area of the tank, rounded to the nearest whole number?
Answer:
7069.5 ft^2
Step-by-step explanation:
Step one:
given data
dimension
radius of 15 feet
height of 60 feet
Required
The surface area of the tank
Step two:
[tex]A=2 \pi rh+2 \pi r^2[/tex]
substitute
[tex]A= 2*3.142*15*60+2*3.142*15^2\\\\A=5655.6+1413.9\\\\A=7069.5[/tex]
A= 7069.5 ft^2
Answer:
7069.5 ft^2
I took the test and got a 100
please help me im very behind
Answer:
I think its d. a13=23
Plz correct me If I am wrong
Step-by-step explanation:
The graph of function g is a parabola with the vertex located at (5,9). The parabola also passes through the point (3, 1). Which of the following is an
equation in vertex form for this function?
I just did this the answer is C. g(x) = –2(x – 5)2 + 9
The required function is [tex]g(x)=-2(x-5)^2+9[/tex].
Important information:
Vertex of parabola is at (5,9).Parabola passes through the point (3,1).We need to find the equation in vertex form for the function g.
Parabola:The vertex form of a parabola is:
[tex]g(x)=a(x-h)^2+k[/tex] ...(i)
Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.
Substitute [tex]h=5,k=9[/tex] in (i).
[tex]g(x)=a(x-5)^2+9[/tex] ...(ii)
Parabola passes through the point (3,1). So, substitute [tex]x=3,g(x)=1[/tex] in (ii).
[tex]1=a(3-5)^2+9[/tex]
[tex]1-9=a(-2)^2[/tex]
[tex]-8=4a[/tex]
[tex]-2=a[/tex]
Substitute [tex]a=-2[/tex] in (ii).
[tex]g(x)=-2(x-5)^2+9[/tex]
Thus, the required function is [tex]g(x)=-2(x-5)^2+9[/tex].
Find out more about 'parabola' here:
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Estabon poured himself a hot beverage that had a temperature of 201 F then set it on the kitchen table to cool. The temperature of the kitchen was a constant 68F. If the drink cooled to 181F IN 4 minutes, how long will it take for the drink to cool to 104F?
Answer:
Fifteen minutes and twenty-four seconds.
Step-by-step explanation:
In four minutes, Estabon's drink cooled down 20 degrees (201 - 181 = 20). This means that the drink cooled down five degrees a minute. The drink must cool down 77 more degrees, (181 - 104 = 77). 77 divided by 5 is 15.4. 15.4 translated to seconds is 15 minutes and 24 seconds.
Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)
B.6(7+15)
C.7(6+12)
D.6(36+84)
Answer:
B
Step-by-step explanation:
42 + 90 = 132 > 6(7+15) > 6*22=132 > 6(7 + 15)= 132
Which of the following is closest to 1?
9/8
11/10
10/9
4/5
6/7
korinn fills 1/6 of a water bottle in 1/4 of a minute. how much time, in minutes, does it take her to fill the bottle
Answer:
1.5 minutes to fill a whole bottle.
Step-by-step explanation:
1. Based on the given information, set up a proportion;
Given;
1/6 of a bottle was filled in 1/4 minute
Equation;
1/6 : 1/4
2. Solve the equation;
1/6 : 1/4
Multiply both sides by 6, to make it such that the whole bottle is filled,
1/6 : 1/4
*6 *6
1 : 6/4
Simplify
1 : 3/2
1.5 minutes to fill a whole bottle.
Which of the following polnts is a solution of the Inequality y<-|x|?
(1,0)
(1,-2)
(1,-1)
Answer:
(1,-2)
Step-by-step explanation:
x = 1, y= -2
by sub.
-2<-1 so it's true
circle two digits that should be switched places to make this sequence correct.
3/7>0.45>43%
Answer:
all of them need to be switched
Explanation:
0.45>43%>3/7
Find the perimeter of a rectangle whose length is 4√5 and width is 3√7
Answer:
if you don't have a calculator you can just put the number under the radical like this
Step-by-step explanation:
4 * 3 * [tex]\sqrt{5 * 7}[/tex]
12[tex]\sqrt{35}[/tex]
this answer might be what a teacher is looking for.. b/c it's exact but... if you were needing to do real work.. you'll just need a close approximation, then
12* 5.916....
70.99 is a close approximation
Solve for g .
g + (-5) = 27
g =
Final Answer: [tex]g = 32[/tex]
Steps/Reasons/Explanation:
Question: Solve for [tex]g[/tex]. [tex]g + (-5) = 27[/tex]. [tex]g[/tex] = ?
Step 1: Remove parentheses.
[tex]g + -5 = 27[/tex]
Step 2: Simplify [tex]g + -5[/tex] to [tex]g - 5[/tex].
[tex]g - 5 = 27[/tex]
Step 3: Add [tex]5[/tex] to both sides.
[tex]g = 27 + 5[/tex]
Step 4: Simplify [tex]27 + 5[/tex] to [tex]32[/tex].
[tex]g = 32[/tex]
~I hope I helped you :)~
Which of the following expressions is equal to -3x^2-12?
Answer:
The answer is (-3X+6i)(x+2i)
Step-by-step explanation:
You can do this by plugging in the answers in the equations and get that (-3x+6i)(x+2i) equals the following expression.
In their first year, The English Patient earned $342,600,000 while Star Wars earned $670,900,000. National Treasure earned $334,100,000 its first year. How much more did Star Wars earn than The English Patient?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $328,300,000
$143,699,010
use the calculator
Help me out here pleaseeeeee
Answer:
C
Step-by-step explanation:
neeeeddd helppp asap
Please help
A town has a population of 14000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 41500?
Answer:
65.9
Step-by-step explanation:
Maggie goes to a clothing store to shop for t-shirts. The store is having a sale on t-shirts for 25% off each shirt. She purchases 5 t-shirts that were regularly priced at $22. What was the total the store charged her with the discount, but before tax?
Answer:
A
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
Is this a function or not a function
Answer:
It is a function
Step-by-step explanation:
A function states that you must have one output every one input and this is done but with the same output.
Which value is equivalent to the expression 4^5
Answer:
20
Step-by-step explanation:
please help!! i need someone to write me an equation for this please!
A members only speaker series allows people to join for $17 and then pay $1 for every event attended. What is the maximum number of events someone can attend for a total cost of $98?
____events
Answer:
82
Step-by-step explanation:
98-17=81+1=82
HELP ME I NEED HELP WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Answer:
The answer is -70
Step-by-step explanation:
How I got the answer.....
-21-49 = -70
Hope this helps! :)
Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.
A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.
Answer:
D. Yes, because f(x) = g(x) when x = 2.Step-by-step explanation:
Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2
-7/5x +4/5= x- 4
If x = 2
f(2) = -7/5 (2)+ 4/5
f(2) = -14/5 + 4/5
f(2) = -10/5
f(2) = -2
g(x) = x - 4
g(2) = 2-4
g(2) = -2
Since f(2) = g(2), hence the lines intersects at x = 2
Answer: abidemiokin is ritgh
Step-by-step explanation:
can someone help me to solve this queestion on Conditional Probability. In Evs and Life Science class, 25% of the students are boys and 75% of them are girls. The probability that boys passed in Statistics is 0.4 and the probability that girls passed in Statistics is 0.25. One student is selected at random. What is the probability that the selected student is passed in statistics?
Step-by-step explanation:
If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.
If a girl student was picked, the probability that they passed is 0.75 * 0.25 = 0.1875.
Total probability = (0.1 + 0.1875) * 100% = 28.75%.
Find the quotient of
7 divided by 8
Answer:
0.875
Step-by-step explanation:
i used my calculator :D
Answer:
0.875
Step-by-step explanation:
Just divide 7/8
Hope this helped, Have a Wonderful Day!!
Find the difference.
(-29+7) – (9+11) = 0
Answer:
Step-by-step explanation:
lets remove the parenthesis
-29+7-9-11=-42
Answer:
-42
Step-by-step explanation:
(-29+7)= -22
(9+11) = 20
-22-20= -42
SECTION 2-4
Convert hex number 743
to its decimal equivalent.
743₁₆ = 7 • 16² + 4 • 16¹ + 3 • 16⁰
743₁₆ = 1792 + 64 + 3
743₁₆ = 1859