Answer:
28=256
Convert the exponential equation to a logarithmic equation using the logarithm base (2)
of the right side (256) equals the exponent (8)
.
log2(256)=8
Step-by-step explanation:
In exponential form, the base (2 in this case) is raised to the exponent (8), resulting in the value on the right side of the equation (256).
In the given equation, we have:
Log₂ 256 = 8
This equation can be read as "the logarithm base 2 of 256 equals 8."
To express it in exponential form, we need to understand that logarithms and exponentiation are inverse operations.
In other words, if we have a logarithmic equation like this, we can convert it into an exponential equation by applying the exponentiation operation.
In this case, the logarithm is base 2, so the exponential form will have a base of 2 as well.
The exponent will be the value equal to the logarithm result. Thus, we can write the exponential form as:
2⁸ = 256
In this equation, 2 is the base and 8 is the exponent.
By raising 2 to the power of 8, we get the value of 256, which is equivalent to the logarithmic expression Log₂ 256 = 8.
Hence in exponential form, the base (2 in this case) is raised to the exponent (8), resulting in the value on the right side of the equation (256).
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place holder for the question
Answer:
The area of the trapozoid would be 192 inches.
Step-by-step explanation:
Here are the steps on how to find the area of a trapozoid.
Add the two bases together. 14 + 18 = 32Divide that by 2. 32/2 = 16Then lastly multiply that by the height. 16 x 12 = 192.I hope I helped
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Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!
Answer:
can u explain it more lol
Step-by-step explanation:
1)The probability of choosing a blue garment is 1/2
2)The probability of choosing a shirt is 1/3.
Thomas has 1 blue shirt
Thomas has 1 green shirt
Thomas has 1 blue hat
Thomas has 1 green scarf
Thomas has 1 blue pair of pants
Thomas has 1 green pair of pants
So, number of blue garments = 3
Number of shirts = 2
Total garments =6
What is probability?Probability is the measure of the likelihood of an occurrence.
P(event) = Favorable outcomes / Total outcomes
P(blue garment) = 3/6 =1/2
P(shirt) = 2/6 =1/3
Hence, 1)The probability of choosing a blue garment is 1/2
2)The probability of choosing a shirt is 1/3.
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Simplify each side of the equation.
6-4 = k-3k
Answer:
k = -1
Step-by-step explanation: 6-4 = k-3k
subtract: 2 = -2k
divide both sides by -2: k = -1
simplifying is easy! we simply add or subtract like terms on each side.
6-4=2
1-3=-2 and then add k which is the variable so -2k
The equation would be 2=-2k and then we can divide both sides by -2 to isolate the variable to get -1=k
There are 26 students in a 5th grade class. Five of these students will be
selected to be patrols. In how many ways can the five patrols be selected?
Answer: 5 ways
Step-by-step explanation:
Answer:
Step-by-step explanation:
That is 26C5 ways = 65,780
ways
I need help pleaseee
Answer:(0,7)(1,42/5)
Step-by-step explanation:
Put one dot on (0,7), the other on (1,42/5)
Which descriptions are true of the function shown in the table? Check all that apply.
Quadratic
Linear
Rational
Y= 5x+10
Y=5x^2+10
Y=5/x+10
9514 1404 393
Answer:
LinearY = 5x+10Step-by-step explanation:
As x-values increase by 1, y-values increase by 5. This means the function is linear and has a slope of 5/1 = 5. The appropriate choices are ...
Linear
Y = 5x+10
Answer:
b & d
Step-by-step explanation:
yw
The profit y from selling x muffins can be represented by a linear function. The profit from selling 5 muffins is $4.
The profit from selling 7 muffins is $8. What is the slope of the line represented by the data?
a. 1/2 b. 1 c. 4/5 d. 2
Answer:
A
Step-by-step explanation:
5 divided by 4 is 1.2
Solve for the following system of equations by using the substitution method for x-y=0 and x-y-2=0
Answer:
The picture doesn't pop up.
Step-by-step explanation:
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
Answer:
D
Step-by-step explanation:
By definition, any two lines that are parallel must have the same slope, since they are angled the same amount (they travel the same amount up over a certain sideways distance). Hope this helps!
The required slope of the red line is equal to 5. Option D is correct.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the parallel line is always equal, so as of the given condition if green and red lines are parallel then the slope of the red line is equal to the slope of the green line.
The slope of the red line = slope of the green line
The slope of red line = 5
Thus, the required slope of the red line is equal to 5, Option D is correct.
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Find the value of x. Will mark brainliest.
Answer:
x = 8
Step-by-step explanation:
MARKING BRAINLIEST!!! PLSS HELP ASAPP!! Plz show all work!!!
Answer:
CCCC IDK the type of vehicle but its c
Step-by-step explanation:
43.2+ 4 x 2.8 + (4.4 x 4 x 1/2) = 63.2
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which is greater 27 or -49
Answer:
27
Step-by-step explanation:
it's a lager number so it's greater
Answer:
27
Step-by-step explanation:
Positive is always greater than a negative.
Malik scores 24 goals in 8 soccer games. At that rate, how many goals will he sore in 15 games?
Answer:
45 goals
Step-by-step explanation:
You have the fraction 24/8
After you simplify it you get 3/1 (that’s the percentage of goals/games)
Supposing goals = x,
x/15 = 3/1
x= 45 goals
Simplify the expression
Answer:
x^(3)y^(4)\sqrt(2)
Step-by-step explanation:
A cylinder has a height of 3.5ft, and a radius of 2ft. Find the volume of the cylinder.
Answer:
14π ft³
Step-by-step explanation:
We all need to know this volume formula: V = πr²h. Here r represents the radius of the cylinder and h the height of the cylinder. Here,
V = πr²h = V = π(2 ft)²(3.5 ft) = 14π ft³
Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?
Answer:
(6x+5)(9x-2)
Step-by-step explanation:
Area = Length x Width
Answer:
54[tex]x^{2}[/tex] +33x - 10
Step-by-step explanation:
you have to use F.O.I.L. First Outter Inner Last
(6x + 5)(9x - 2)
First (6x)(9x) = 54 [tex]x^{2}[/tex]
Outter (6x)(-2) = -12x
Inner (5)(9x) = 45 x
Last (5)(-2) = -10
combine middle terms
54[tex]x^{2}[/tex] +33x - 10
Graph the equation of the line y=3x+4 and use it for your reference to find:
c
Quadrants in which this graph is in. (Use the numbers 1−4)
Answer:
The line is quadrants 1 2 and 3
Step-by-step explanation:
remember top right is 1
top left is 2
and bottom left is 3
3. Find the value of X in degrees
answer the question below in the image
Answer:
c 100%
Step-by-step explanation:
im having a crisis
2] Simplify: √3∙√6
A. √18
B. 3√2
C. 9√2
D. 4.24
3] 2√5∙4√5
Response: __________
4) The simplified form of √1749 is √177.
A. True
B. False
5) Simplify: √24√6
A. cannot be determined
B. √1446
C. 2
D. √6
6) Solve: 3x2 + 12 = 12
Response: __________
Simplify the following expression
x^9*x^-4=x^n
Answer:
x^5 = x^n
Step-by-step explanation:
x^9*x^-4=x^n
x^5 = x^n
Will give brainliest answer
Answer:
Step-by-step explanation:
Diameter is 7cm
radius is diameter/2 = 7cm/2 = 3.5cm
Answer:
[tex]diameter = 7 \: \: cm \\ radius = 3.5 \: \: cm[/tex]
Step-by-step explanation:
[tex]d = 7 \: \: cm[/tex]
[tex]r = \frac{d}{2} \\ r = \frac{7}{2} \\ r = 3.5cm[/tex]
hope this helps
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good luck! have a nice day!
What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)
Answer:
C
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula.
The point slope formula is:
[tex]y-y_{1} =m(x-x_{1})[/tex]
where m is the slope, and (x1, y1) is the point given.
We know that the slope is -3, and the point given is (10, -1)
Therefore, our m is -3, x1 is 10, and y1 is -1.
y- -1 = -3(x-10)
y--1 is the same as y+1
y+1= -3(x-10)
Therefore, choice C is correct.
The quadratic function d = –3x^2 + 16 models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill. After how many seconds is the skateboarder 8 ft from the bottom of the hill?
Answer:
To find the solution, plug in 8 for d
d=-3x2+16
8=-3x2+16 Subtract 8 from both sides
0=-3x2+8
Now, use the quadratic equation to solve for x
a=-3
b=0
c=8
x=1.63 or
C. 1.6s
Step-by-step explanation:
The skateboarder is 8 feet from the bottom of the hill after 1.633 seconds.
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given that,
Quadratic function which models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill is,
d = –3x² + 16
We have to calculate after how many seconds is the skateboarder 8 ft from the bottom of the hill.
d = 8 feet. Substitute it.
–3x² + 16 = 8
–3x² = 8 - 16
3x² = 8
x² = 8/3
x = √(8/3) seconds
≈ 1.633 seconds
Hence the time is approximately 1.633 seconds.
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Simplify the expression -1/2 (-5/6 + 1/3)
A. -5/12 + 1/3
B. 5/12 - 1/6
C. -5/12 + 1/6
D. 5/12 + 1/3
Answer:
5/12 - 1/6
Step-by-step explanation:
-1/2( -5/6+1/3)
Distribute
-1/2*-5/6 -1/2*1/3
5/12 - 1/6
polynomial division
(4x^2 +7x +6) ÷(x+ 2)
Answer:
4x2 + 7x - 6
————————————
x - 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are many methods but I give you the factorisation:
[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]
So
[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]
That means the quotient is 4x-1 and the remainder is 8.
What is the y-intercept of this function?
f(x) = 2(x - 7)2 - 32
(0,-32)
(0,66)
(0,-7)
(0,17)
Answer:
(0, 66 )
Step-by-step explanation:
To find the y- intercept, let x = 0 and solve for y
f(0) = 2(0 - 7)² - 32
= 2(- 7)² - 32
= 2(49) - 32
= 98 - 32
= 66
The coordinates of the y- intercept are (0, 66 )
Mark had 45 football cards. Josh had twice as many football cards as Mark. Jo
then bought 5 more football cards. Which equation can be used to find f, the
number of football cards Josh has now?
A 2 x 45 + 5 = f
B 2 x 45-5 = f
C 2 + 45 x 5 = f
D 2 + 45 + 5=f
can someone help me please
Answer:
I think It will be A. I’m trying my best to help
Step-by-step explanation:
Please help me! I will mark brainliest!
Answer:
the first answer=49t^8
Step-by-step explanation:
multiply 7 and 7 together, and add 4 and 4 together, that's how you'll get your answer
On the beach, a cable is attached to the pier. The line formed by the cable has a slope of 3/5. Is the triangle formed by the pier, the beach, and the cable similar to the triangle formed by the boat, the parasailer, and the rope?
Answer:
That's kinda hard bro u sure ur in middle school
Step-by-step explanation:
