Answer:
For the first one it is 8, and the second one is 19
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. What value of x satisfies this equation? log2 (6x – 8) – log2 8 = 1 The value of x is
Answer:
Espero te sirva
Step-by-step explanation:
Suerte ******'**
You can use two important properties of log to find out the solution of the given equation.
The value of x that satisfies the given equation is 4
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b= log_a(c)[/tex] , here 'a' is called base of logarithm.
Some properties of logarithm are:
[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(a) = 1[/tex]
(take special attention over that base "a" in all of the above property as you might mix them with other base logarithms which is not allowed)
How to find the solution to the given equation?We can use the fourth, property and then can use third and first property as follows:
[tex]log_2(6x-8) - log_2(8) = 1\\\\log_2(\frac{6x-8}{8}) = log_2(2)\\\\\dfrac{6x-8}{8} = 2\\\\6x-8 = 2 \times 8\\6x-8 = 16\\6x = 16 + 8\\6x = 24\\\\x = \dfrac{24}{6} = 4\\\\x= 4[/tex]
Thus, the value of x for the given condition is obtained as 4.
Learn more about logarithms here:
https://brainly.com/question/20835449
Un terreno tiene forma rectangular como se muestra en la siguiente figura. ¿Cuál es la expresión que representa el área del terreno? A. a2+2a+2 B. a2−2a−8 C. a2−8a−8 D. a2−8a+15
Answer:
si 2
Step-by-step explanation:
Calculate the measure of angle P:
Answer:
122.3 degrees
Step-by-step explanation:
To get the measure, we use the appropriate method
The method we are going to use here is the cosine rule
We have the general form as;
a^2 = b^2 + c^2 -2bc Cos A
where a = 25
b = 9 and c = 19
Substituting these values;
25^2 = 9^2 + 19^2 - 2(9)(19) Cos A
183 = -342 cos A
cos A = -183/342
cos A = -0.54
A = arc cos -0.54
A = 57.65 ( since cosine is negative in the second quadrant, then the value will be 180 - 57.65
= 122.35
Find a number which in which added square
sum will be 72.
Answer:
8.48528137424^2
Step-by-step explanation:
8.48528137424x8.48528137424
= 72
Someone help me please
Answer:
-64
Hope it helps
Please help thanks! Brainliest
[tex]5[/tex] ✅
Step-by-step explanation:
[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Answer:
12.5
Step-by-step explanation:
14+6²÷(-4)
=14+6×6÷(-4)
=14+36÷(-4)
=50÷-4
=12.5
Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.
Answer:
397
Step-by-step explanation:
Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;
Por teorema del resto, tenemos;
p (x) = (x - a) · Q (x) + R
Dónde;
p (x) = El número, que se divide
Q (x) = El cociente
(x - a) = El divisor
R = El resto
Dado que el número más pequeño es 4, el resto, 0 <R <4
Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;
R = 1
Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;
(x - a) · Q (x) = 396
R = 1, dar;
p (x) = 396 + 1 = 397
Por lo tanto;
El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397
Find the circumference of a circle with a radius of 35 inches in terms of 7 and to the nearest tenth of an inch.
Answer and Step-by-step explanation:
The circumference formula for a circle is:
C = [tex]2\pi r[/tex]
Plug 35 in for r (radius) and solve.
C = [tex](35) 2\pi\\\\C = 70\pi\\\\C = 219.9[/tex]
So, approximately 219.9 [tex]in^2[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
please help meeeee:(((
Answer:
d................. I'm not so sute
m (slope) =
b ( y - intercept) =
x - intercept =
Answer:
Step-by-step explanation:
The line is parallel to the x axis, so its slope is 0
m = 0
the y intercept is -2.5
the line doesn’t intercept the x axis because is parallel to it
What is the period of the graph of y
5cos(4x + 1) + 3?
Answer:
period=(2π-1)/4
Step-by-step explanation:
4x+1=2π
4x=2π-1
x=(2π-1)/4
Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
Every point on a circle is the same distance from a single location. What is
that location called?
Answer:
The center.
Step-by-step explanation:
That point is the center of the circle.
Hope that this helps!
How many situations are there to the systems of equations graphed below if the lines are uuu parallel?
Answer:
2
Step-by-step explanation:
Yes the parallel line segment to eat the answer
find the percent change from 4/5 to 3/5
3. Solve the system of equations without graphing. Show your reasoning.
ſ 2y = x - 4
4x + 3y = 5
Answer:
X=2, y=-1
Step-by-step explanation:
2y=x-4 equation 1
4x+3y=5 equation 2
x=2y+4 isolate x in equation 1
4(2y+4)+3y=5 substitute value of x from equation 1 into equation 2
8y+16+3y=5
11y=-11
y=-1
solve for x by inputting y value into either equation
2y=x-4
2(-1)=x-4
-2=x-4
2=x
16.
Which of the following are the coordinates of the vertex of y= 3x2 + 3?
A. (3, 0)
B. (0, 3)
C. (–3, –3)
D. (3, 3)
Answer:
D
Step-by-step explanation:
is the correct answer i believe.
Answer:
B. 0,3
Step-by-step explanation:
I took the test and checked the answer, 0,3 is correct.
Which of the following is furthest to the left on the number line?
-6.5
-5
-6.7
-6 help mee
Answer:
6.7 is farthest to the left of the line
find the measures of x and y. I NEED THIS NOWW
Answer:
Solution given:
x+x+24°=90[being complementary angle]
2x=90-24
x=66/2
x=33
again
2x=3y[vertically opposite angle]
y=2*33/3
y=22
Answer:
2x +24 =90
2x =90-24
2x =66
x =33
CAK=24
2X=3Y
3Y=2×33
3Y=66
Y. =22
Mickey planted a 34" tree that grows 7.5" every year. How tall will the tree be in 5 years
Given:
The initial length of a tree = 34''
The tree grows 7.5'' every year.
To find:
The height of the tree in 5 years.
Solution:
It is given that,
Length of tree increased each year = 7.5''
Length of tree increased 5 year = 5×7.5''
= 37.5''
The initial length of a tree is 34''. So, the length of tree after 5 years is
34'' + 37.5'' = 71.5''
Therefore, the length of the tree in 5 years is 71.5''.
What are the possible values of x in x2 + 3x + 3 = 0?
Answer:
Step-by-step explanation:
Answer:
=3
Step-by-step explanation:
given the general form ax2 +bx+c=0
there exist two solutions where: a=1,b=3andc=3
Find the volume of this shape
(17)
Answer:
84mm^3
Step-by-step explanation:
multiply 12 by 7
answer please answer
Answer:
Step by step explaination:
Function A:
When x=5, y=17
x=4, y= 17-4=13
So x=3,y=13-4=9
and then,
x=2, y= 9-4=5.
Function B:
When x=2, y= 2.
Therefore, when x=2 then Function A is greater than Function B.
angles 1 and 2 are completely and congruent what is the measure of angle 1
Answer:
180
Step-by-step explanation:
If the awnsers are equal and make a full 360 angle, the angle of one of them is 180 because that is half of 360.
The following triangle is and
isosceles
scalene
equilateral
——————
right
acute
obtuse
Answer:
isosceles
right
Step-by-step explanation:
The two legs (not the hypotenuse) are marked as equal. So the triangle is at least isosceles (choice of the top three)
The square in the bottom left corner is used as the symbol for a right angle. So this triangle is a right triangle.
What is 1/6
as a decimal?
Give your answer rounded to 3 decimal places.
0.167 I believe!
<3
I'm sure you'll do great!
Answer:
0.167(rounded 3dp)
Step-by-step explanation:
100/6=16.6666...
[tex]\frac{16.666}{100}[/tex]= [tex]\frac{1}{6}[/tex]
[tex]\frac{16.666}{100}=(into decimal)0.167[/tex]
Find the equation of the line for each situation.
a line with a y - intercept of 4 and a slope of -1
a line passing through the point (3, 4) and having a slope of -2
a line passing through the points (1, -1) and (9, 3)
Step-by-step explanation:
1) y = -x+4
2) y-4= -2(x-3)
y = -2x+6+4
y = -2x+10
3) slope = (3+1)/(9-1) = 4/8=½
the Equation =>
y+1= ½(x-1)
y = ½x -½-1
y = ½x - 1½ or 2y = x -3
HEYYYYT guys I probably know that your tired of me but u only have 2 question left :( I'm sorry guys
Answer:
There is no right answer in the option choice if you would want to find the area of the figure.
Step-by-step explanation:
5*12 = 60
11*6 = 66
60+66 = 126 square feet
What are the solutions of the equation ( X -25 )^ 2 equals 36
Answer:
x = 31, x = 19
Step-by-step explanation:
[tex](x-25)^2=36\\\sqrt{(x-25)^2}=\sqrt{36}\\x-25=6 or -6\\\\x-25=6\\x=31\\\\x-25=-6\\x=19[/tex]
A triangle has sides with lengths of 5 kilometers, 11 kilometers, and 12 kilometers. Is it a right triangle?
Answer:
Step-by-step explanation:
to prove it right angle
square of largst side must be eqaul to the sum of two other sides.
so here 12 is largest and 11 and 5 are two other smallest sides of a triangle.
(12)^2=(11)^2+(5)^2
144=121+25
144=146
since the square of largest side is not equal to the sum of square of other two smaller sides it can be concluded that the given sides of a triangle does not form a right angled triangle.
The sum of 4 and y divided by 5 equal to 9. Find the value of y.
Answer:
y = 41
Step-by-step explanation:
When you add 41 and 4, you would get 45.
When you divide by 5, it will be equal to 9:
45 ÷ 5 = 9
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Have a great summer :)