Answer: Power property: That means the power m can be brought down to front of the logarithm.
Step-by-step explanation:
Logarithmic function, Log 152 can be written as Log 19 + 3 log2.
What is a logarithmic function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bˣ is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
Given, A logarithmic function log152
Simplifying the Function,
=> log152
=> log( 19 * 8)
From the additional property of the log,
=> log 19 + log 8
=> log 19 + log2³
From the power property of the logarithmic
=> log 19 + 3 log2
Learn more about logarithmic functions here:
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Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.
Answer:
(2, 8)
Step-by-step explanation:
Given the system of equation
3x+2y=22 ... *4
-4x+3y=16 .... *3
Using the elimination method
12x + 8y = 88
-12x + 9y = 48
Add
8y + 9y = 88+48
17y = 136
y = 136/17
y = 8
Recall that
3x+2y=22
3x+2(8)=22
3x + 16 = 22
3x = 22-16
3x = 6
x = 6/3
x = 2
Hence the required solution (x, y) is (2, 8)
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y=-4
3x-5y=23
Answer:
Step-by-step explanation:
3x-5(-4)=23 (1,-4)
3x+20=23
-20
3x=3/3
x=1
classify the type polynomial 11x+20
Answer:
binomial
Step-by-step explanation:
there are two terms, "11x" and "20"
What is the volume of a sphere with a diameter of 7,5 cm, rounded to the nearest
tenth of a cubie centimeter
Answer:
179.59
Step-by-step explanation:
.........................
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Answer:
-19
Step-by-step explanation:
Answer:
-19
hope it helps. Plz mark brainliest!
explanation:
To find its opposite, change the negative sign to a positive sign. The answer is that the opposite of 19 is -19.
Math help me please/////
Answer:
C.
Step-by-step explanation:
A and D are incorrect because there is one outlier in the lower graph, and there are no signs of clusters on the graph, making B wrong as well. This leaves the only answer, C, which makes sense because there is a positive correlation of a line.
What is a possible solution to x ≥ −2?
Answer:
5
Step-by-step explanation:
help help help pleaseee
Answer:
f is the answer
Step-by-step explanation:
Please help
David has scored 86, 70, 79, 90, and 85 on his previous five tests. What score does he need on his next test so that his average (mean) is 84
pls help me my hw is due soon!!!!!!!
From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the distance of the boat from the foot of the light house?
Answer:
Distance between boat and light house = 223.88 meter (Approx.)
Step-by-step explanation:
Given:
Height of light house = 60 meters
Angle of depression to boat = 15°
Find:
Distance between boat and light house
Computation:
Using trigonometry application:
Tanθ = Perpendicular / Base
Tan 15 = Height of light house / Distance between boat and light house
0.268 = 60 / Distance between boat and light house
Distance between boat and light house = 60 / 0.268
Distance between boat and light house = 223.88 meter (Approx.)
Fraction:
Decimal:
Percent:
Answer:
Fraction: 9/10
Decimal: 0.9
Percentage: 90%
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Step-by-step explanation:
i just need help finding y thank you
Answer:
x=9.43mm
Step-by-step explanation:
H= A/C
H=9.15/cos(14)=9.43mm
Answer:
9.43
Step-by-step explanation:
If x = 2.28
pythagoras theory that a^2 + b^2 = c^2
so 9.15^2 + 2.28^2 = 88.920
[tex]\sqrt88.920[/tex]=9.429
HELP WILL MAKE BRAINLIEST
Answer:
x
Step-by-step explanation:
PLEASE HELP ASAP PLEASE HELP
Find the value of x in OQ. 5x-6
2x+9
Need help with this question asap!!
Answer:
[tex]\huge\boxed{\sf x = 5}[/tex]
Step-by-step explanation:
Since, the chord is being bisected by the diameter (being divided into two equal parts). Hence,
5x - 6 = 2x + 9
5x - 2x = 9 + 6
3x = 15
Divide both sides by 3
x = 15 / 3
x = 5
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Farid checked the prices of 5 items available for purchase in the cafeteria. The prices were:
$6.00$8.00$6.00$2.00$4.00
What was the median price of the items?
MEAN AND MEDINA
Answer:
Mean is 5.2 Median is $6.00
Step-by-step explanation:
To find mean u have to find the "average" whereby u add all the numbers and divide by the number of numbers.
($2+$4+$6+$6+$8)= $26. Then since there are 5 numbers in all u divide by 5.
$26÷5 =5.2 5.2 is the median.
Median is the middle number. To find it u have to rearrange the numbers from smallest to largest and find the middle number.
$2, $4, {$6,} $6, $8
$6 is the median.
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Write an explicate formula for this sequence -2, 6, -18, 54
Answer:
7 =121 and t underscore 15 =193
Step-by-step explanation:
Answer:
[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3
This indicates the sequence is geometric with explicit formula
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = - 3 , then
[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]
Can consecutive whole numbers go backwards?
Answer:
yes, they can become they're still counting numbers
If x = 7, what does y equal in the following equation? *
2x + 4y = -6
1) y = -2
2) y=-3
3) y=-4
4) y=-5
$100 are shared between Adam and Hamza in the ratio 1:3.
A)
How many dollars did Adam receive?
How many dollars did Hamza receive?
Answer:
$25 for Adam and $75 for Hamza
Step-by-step explanation:
$100 will be divided to 3 + 1 = 4 parts
the dollars Adam received
= $100 × 1/4
= $25
the dollars Hamza received
= $100 × 3/4
= $75
-----------------------------------------------------------
the dollars Hamza give to Adam
= $75 × 25%
= $75 × 25/100
= $18.75
the dollars Adam have
= $25 + $18.75
= $43.75
the dollars Hamza have
= $75 - $18.75
= $56.25
the ratio
= 43.75：56.25
= 7：9
13.
You are given that tan θ= 1 / √3.
First, find the value of θ.
See attachment for reply.
PLEASE SOMEONE PLEASE HELP I DONT GET THIS PLEASE HELP ILL GIVE BRAINLIEST
find the value of x. write your answer in simplest radical form. x 9 7
Answer:
Answer B
Step-by-step explanation:
You have to use the pythagorean theorm which states that a^2+b^2=c^2
So, 7^2+x^2=9^2
49+x^2=81 subtract 49 from both sides of the equation
x^2=32
x=sqrt(32)
sqrt(32)=sqrt(16)*sqrt(2)
=4*sqrt(2)
PLEASE HELP the graph of the function f(x)=5/4sin(x)+1 is shown. what are the key features of this function? (look at photo)
Answer:
2.25 -0.25 increasing (-0.25,2.25)
Step-by-step explanation:
The minimum and maximum values are negative 1/4 and 9/4. In the interval of (0, π/2), the function is decreasing. And the range of the function will be [–1/4, 9/4].
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The equation is given as
y = A sin (ωx + Ф) + C
Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.
The function is given below.
f(x) = (5/4) sin(x) + 1
Compare the function with standard equation.
A = 5 / 4
ω = 1
Ф = 0
C = 1
Then the maximum value of the function at sin x = 1, will be
Maximum value = 5/4 + 1
Maximum value = 9/4
Then the minimum value of the function at sin x = –1, will be
Minimum value = –5/4 + 1
Minimum value = –1/4
In the interval of (0, π/2), the function is decreasing.
And the range of the function will be [–1/4, 9/4].
More about the sine function link is given below.
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Find the product of 22.4 and 0.51
Answer:
11.424 is the product of 22.4 x 0.51
BAC ~ DEC
x = ___ units
Given:
[tex]\Delta BAC\sim \Delta DEC[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\Delta BAC\sim \Delta DEC[/tex]
The corresponding parts of similar triangles are proportional.
[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]
On substituting the values, we get
[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]
[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]
[tex]3(3x+5)=2x(7)[/tex]
[tex]9x+15=14x[/tex]
Subtract [tex]9x[/tex] from both sides.
[tex]15=14x-9x[/tex]
[tex]15=5x[/tex]
[tex]\dfrac{15}{5}=x[/tex]
[tex]3=x[/tex]
Therefore, the value of x is 3 units.
Which side lengths form a right triangle?
Choose all answers that apply:
Answer:
A
Step-by-step explanation:
9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle
Answer:
A. 9, 12, 15
Step-by-step explanation:
A. [tex]9^{2} +12^{2} =15^{2}[/tex]
B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]
C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]
A town doubles its size every 17 years. If the population is currently 15,000, what will the population be in 34 years?
Answer:
60,000
Step-by-step explanation:
Explanation: 34 is double of 17 so the town doubles twice, 15,000 * 2 * 2 is your Expression and leads you to 60,000.