Answer:
x^7 = 60
Step-by-step explanation:
log(a)+log(b)=log(ab) so
logx 5 + logx 12 = logx (5*12) = logx 60
logx a = b means x^b = a so x^7 = 60
The logarithm equation in exponential form is x⁷ = 60
What is an Exponential Equation?An exponential equation that can be represented in the form of abˣ.
The logarithm equation is:
logₓ 5 + logₓ 12 = 7
According to the rule of the logarithm,
log a + log b = log (ab)
logₓ ( 5 *12) = 7
logₓ ( 60) =7
According to the property of logarithm
logₓ ( a) = b
xᵇ = a
x⁷ = 60
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PLZZZZZ HELP IT IS DUE IN 5 MINUTES
11. Find the slope given two points.
(-1, 4) and (4, -3)
Answer:
m = -7/5
Step-by-step explanation:
how do you solve y+1=2x
y =2x-1
Step-by-step explanation:
2.945 to the nearest hundredth
Answer:
2.95
Step-by-step explanation:
2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.
What is the y-intercept of the line given by the equation y = 8x + 75?
A. (0,75)
B. (0,-8)
C. (0, -75)
D. (0,8)
Answer:
The answer is A.
Step-by-step explanation:
In a linear equation, y = mx + b where b represent y-intercept.
y-intercept is the point where it touches y-axis, so the value of x is 0.
The y-intercept of the given equation is (0, 75). Therefore, option A is the correct answer.
What is a y-intercept?In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.
The given equation of a line is y=8x+75.
To find the y-intercept, set x = 0 and solve for y.
Here, substitute x=0 in y=8x+75, we get
y=8(0)+75
y=75
So, the y-intercept is (0, 75)
Therefore, option A is the correct answer.
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Please help! Find the value of X. Round to the nearest tenth. acellus
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
Please help!!!!
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
[tex]f(1) = 2[/tex]
Now, we find f(2) in function of f(1). So
[tex]f(1+1) = f(1)^2 - 3[/tex]
[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]
Now, with f(2), we can find the value of f(3).
[tex]f(2+1) = f(2)^2 - 3[/tex]
[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]
The value of f(3) is -2.
5) Solve this system by graphing.
-2x - 4y = -8
y = x-10
Shaun's earnings at $12 per hour were less than $150. Write an inequality
Answer:
I think that the answer is 12x<150
Answer:
12x<150
Step-by-step explanation:
Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the actual number of days Oliver has attended drama club.
A. 743, 970, 933
B. 870, 933, 780,
C. 780, 849, 761,
D. 867, 870, 933
How would you graph
y = 2x - 1? , ILL MARK BRAINLIST
Answer:
Starts at negative 1 Y-axis, and then go yp 2 and 1 to the right
5 x (2+8) + (12-6/3) x2
Answer:x
3
+
64
x
3
−
1
12
t
−
8
Step-by-step explanation:
Answer:
5 x (2+8) + (12-6/3) x2
5×10+(12-2)×2
50+10×2
50+20
70
what is 1 + 3s > 7 sadhfashdfajdfadfa
Answer:
4??????????????
Step-by-step explanation:
&÷&$^#£#*$,$
Can some one help me with these 2 questions I’ll give you brainliest
9514 1404 393
Answer:
2 + 5i
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]
__
In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.
Inverse of
f(x) = 4x+16
Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true
concerning these two values.
O a
The value of g(2) is larger than the value of g(-4).
Oь
Ос
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Od
Answer:
The value of g(2) is larger than the value of g(-4)
Step-by-step explanation:
2 is a larger number than -4, so automatically, the value of g(2) would be larger.
solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2
Step-by-step explanation:
√3sinA-cosA=√2
dividing both side by (√3²-1²=2 we get)
√3/2 sinA-1/2.cos A=√2/2
cos 30sinA-sin30cosA=√2/(√2×√2)
sinAcos30-cosAsin30=1/√2
sin(A-30)=sin45,sin(180-45)
therefore
A-30=45,135
A=45+30=75 or A=135+30=165
does anyone know the answer to this.
Answer:
D
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
FIRST STEP:
4*3 =12
6.5*3 =19.5
SECOND STEP:
21*12*19.5 =4914
Answer:
D
Step-by-step explanation:
i solved it
Review: Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?
Answer:
she delivers 9 flower plugs.
Step-by-step explanation:
in a standard equation the equation would be 21 = 2x + 3 and if you isolate the x you would have to first subtract the 3 from both sides and that would leave you with 18 = 2x and then you have to divide both sides by 2 and get 9=x
The triangles are similar. Find side length x.
Answer:
Step-by-step explanation:
3. Which number is a natural number?
A-2.5
B 5-151
C-13+51
D|-81-2
Answer:
C
Step-by-step explanation:
A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.
Equation in point slope form (5,-12);m=-2/3
Answer:
y + 12 = -2/3(x - 5)
evaluate the expression for the given value of the variable
4(x-4); x=7
Answer:
12
Step-by-step explanation:
substitute x = 7 into the equation:
[tex]4 (7-4)\\4(3)\\12[/tex]
Answer:
12
Step-by-step explanation:
First, you insert the 7 in place of the x. Then you do what is in the parenthesis, according to PEMDAS. 7-4 = 3. You end up with 4(3). You then do distributive property and you end up with 12.
The table shows the fees to park in a parking lot.
first hour = $1
second hour = $1.50
each additional hour or part of an hour = $2.
How much does it cost to park for 4 1/2 hours?
Answer:
$7.50
Step-by-step explanation:
4 1/2 hours total
1st hour = $1.00 ; 3 1/2 hrs remaining
2nd hour = $1.50 ; 2 1/2 hrs remaining
after 2 hours you pay $2 per hour so 2.5 x 2 = $5.00
Which quadratic rule represents the data in the table?
y= -2x2 + 5
y= -x2 + 5
y = x2 - 5
y = x2 + 5
Answer:
x^2 - 5
Step-by-step explanation:
x = -1, y = 1 - 5 = -4.
x = 0, y = 0-5 = -5.
x = 1, y = 1 - 5 = -4.
What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?
9514 1404 393
Answer:
x -3y -7 = 0
Step-by-step explanation:
The general form of the equation for a line is ...
ax +by +c = 0
where a, b, c are mutually prime and the leading coefficient is greater than zero.
__
The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...
rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope
For the given point and slope, we have ...
1(x -1) -3(y -(-2)) = 0
x -3y -7 = 0
Which is equivalent to the expression below? |-3|
O
13
-1-31
O
3
If the value of a quarter of a kilogram is ₹ 40, how much money will be the value of 100 grams?
Answer:
₹16
Step-by-step explanation:
1/4 kg = ₹ 40
1kg = 40×4 = ₹160
1000g = 1kg
100g = 100/1000 kg
= 0.1kg
0.1kg= 0.1×160 = ₹16
Is figure ABCD a translation of Figure ABCD
A. Yes it is translated 2 units left and 2 units up
B. Yes it is translated 1 unit left and 3 units up
C. Yes it is translated 3 units left and 1 unit up
D. No the two figures are oriented diferently
Find the volume of this cuboid 5cm
Answer:
125[tex]cm^{3}[/tex]
Step-by-step explanation:
5x5x5= 125