Answer:
In 81 / In 12 ;
log 81 / log 12
Step-by-step explanation:
Log 12 81
Log 81 base 12
According to rule of logarithm :
Log 81 base 12 = (log 81 base 10) / log 12 base 10)
Obtaining the value :
(log 81 base 10) / log 12 base 10) = 1.7684564
Using trial and error method :
log 81 / In 12 = 0.7680308
In 81 / In 12 = 1.7684564
In 81 / 12 = 0.3662040
Hence, the correct answers are :
In 81 / In 12
log 81 / log 12
1/2 + 34 + 2/3
What is the answer!?
Answer:
35 OR 35.1666666667
Step-by-step explanation:
Answer:
the answer rounded to the nearest hundredth is 35.17
Step-by-step explanation:
Plz guys I rlly need help
2865 students participated in a competitive exam. There were 60 rooms in the
university. Equal number of students were placed in each room. How many students
were not seated in any one of the rooms?
(x2 - 3)(x2 + 12) = 0
Answer:
x=1.7320508075688772 or x=−1.7320508075688772
Step-by-step explanation:
(x2−3)(x2+12)=0
x4+9x2−36=0
(x2−3)(x2+12)=0
x2−3=0 or x2+12=0
x=1.7320508075688772 or x=−1.7320508075688772
Working together, it takes two computers 12 minutes to send out a company's email. If it takes the slower computer 30 minutes to do the job on its own, how
long will it take the faster computer to do the job on its own?
Do not do any rounding?
Answer:
The faster computer will complete the job in 20 minutes alone.
Step-by-step explanation:
Given that:
Time taken by both computers = 12 minutes
Time taken by slower computer = 30 minutes
Let,
x be the time taken by faster computer.
[tex]\frac{1}{x}+\frac{1}{30} = \frac{1}{12}[/tex]
[tex]\frac{1}{x} = \frac{1}{12}-\frac{1}{30}\\\\\frac{1}{x} = \frac{5-2}{60}\\\\\frac{1}{x} = \frac{3}{60}\\\\\frac{1}{x} = \frac{1}{20}\\\\x= 20[/tex]
Hence,
The faster computer will complete the job in 20 minutes alone.
What values of x solve the equation f (x) = 1
Jill and Kyle get paid per project. Jill is paid a project fee of $35 plus $8 per hour. Kyle is paid a project fee of $20 plus $16 per hour. Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Answer:
The company will pay $43 project fee and $24 an hour.
Step-by-step explanation:
25 + 10h +18 + 14h
= 25+ 18 + 10h + 14h
=43 + 24h
Find the value of m.
Answer:
Step-by-step explanation:
x=2
a=1.25
m=3.75
tell me if u need any steps
The government of Japan between World War I and World War II can best
be described as *
democratic
communist
militaristic
Nazi
Answer:
I believe communist just because or there influences in world war I and world war II they were on the communist side and part of the USSR at the time
Select all that apply. Which of the following name an angle in the drawing? ACB CDE ECB BDA
Answer:
ecb and acb
Step-by-step explanation:
Take this decimal and express it in fraction and percentages.
.19
Answer:
0.19 = 19/100
19/100 = 19%
Step-by-step explanation:
take 0.19 x 100 = 19
that's where u get 19% and 19 over 100 from.
Answer:
0.19 = 19/100 = 19%
Step-by-step explanation:
1. Start with 0.19 (the given)
2. Read it out loud "19 hundredths"
3. Write down 19 out of 100 because that's what you said in the last step (if it were "0.3" you would write "3/10" because you read it as "three tenths"
4. Check if you can simplify. In this case you cannont
5. If the fraction is out of 100 (which in this case it is) simply write the numerator as the percent "19" is the numerator and it IS out of 100. You would write 19%
The circumference of a circle is 15 ft. find its area writing 3.14 for pi PLS
Answer:
17.9140127389 FT²
Step-by-step explanation:
Circumference is found using the formula 2πr.
15=2πr
r=15/(2*3.14)
r=2.38853503185
Area is found using the formula πr²
A= πr²
=3.14( 2.38853503185²)
=17.9140127389
A scuba diver dives 10 meters below the surface of the ocean, and then dives down another 8 meters. How many meters down does the diver dive? Show an absolute value equation that can be used to find your answer.
4x² when x = 5/6 and 1/2
4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:
Guided Practice
1. A manufacturer gets a shipment of 600 batteries of which 50 are
defective. The quality control manager tests a random sample of
30 batteries in each shipment. Simulate the test by generating random
numbers between 1 and 600. How well does your sample represent the
shipment? Explain. (Explore Activities 1 and 2)
Answer:
18.33
Step-by-step explanation:
600 -50 ÷ 30
550 ÷30 = 18.333
A dish washer manufacturer introduced a new type of dish washer and conducted a survey on the new product. The survey showed 40% of the consumers had seen an advertisement for the new product, 20% had tried the new product, and 15% had both seen an advertisement and tried the new product. Let event A denote that the consumers had seen an ad for the new product, and event B denote that the consumers had tried the new product. What is the probability a randomly selected consumer had either seen an advertisement or tried the new product
Answer:
[tex]P(A \cup B) =0.45[/tex]
Step-by-step explanation:
From the question we are told that
Consumers seen the soap [tex]P_A=40\% =0.40[/tex]
Consumers used the soap [tex]P_B=20\% =0.2[/tex]
Consumers seen/tried the soap [tex]P_x=15\% =0.15[/tex]
Generally the probability that consumers have seen and tried the soap is
[tex]P(A \cup B=P(A)+P(B)-P(A \cap B[/tex]
[tex]P(A \cup B=0.4+0.2-0.15[/tex]
[tex]P(A \cup B) =0.45[/tex]
Given the system of equations. What is the x-value in the solution?
8x+ 3y = 7
4x + 3y = 5
Answer
What is the geometric sequence formula for 1/5, 1/25, 1/125, 1/625, ...
Solve.
log6x+log6(x−1)=1
Enter your answer in the box.
x = ?
Answer:
7
Step-by-step explanation:
hhfndbdbdbueheheheheheheh
Add, Subtract, or Multiply, as indicated.
(5x^2+3x-7)+(6x+7)
a) (x + 7)(2x - 1)
b) (3x + 4)(x - 5)
c) (y + 9) (y + 4)
d) (b - 12)(b - 3)
please solve these i’m begging
Answer:
A.) [tex]2x^2 + 13x - 7[/tex]
B.) [tex]3x^2 - 11x - 20[/tex]
C.) [tex]y^2 + 13y + 36[/tex]
D.) [tex]b^2 - 15b + 36[/tex]
Step-by-step explanation:
For all of these you want to multiply the first thingy (Ex. x) in the first parenthesis by the first in the second parenthesis (Ex. 2x) plus the first one in the first (Ex. x) times the second one in the second (Ex. -1) plus the second one in the first one (Ex. 7) times the first one in the second parenthesis (Ex. 2x) plus the second one in the first parenthesis (Ex. 7) times the second one in the second (Ex. -1)
A.) (x + 7)(2x - 1) = (2x * x) + (-1 * x) + (7 * 2x) + (7 * -1) = 2x^2 -x + 14x - 7 = 2x^2 + 13x - 7
B.) (3x + 4)(x - 5) = (3x * x) + (3x * -5) + (4 * x) + (4 * -5) = 3x^2 - 15x + 4x - 20 = 3x^2 - 11x - 20
C.) (y + 9) (y + 4) = (y * y) + (4 * y) + (9 * y) + (9 * 4) = y^2 + 4y + 9y + 36 = y^2 + 13y + 36
D.) (b - 12)(b - 3) = (b * b) + (b * -3) + (-12 * b) + (-12 * -3) = b^2 - 3b - 12b + 36 = b^2 - 15b + 36
HELP QUICK ILL GIVE TOU BRAINLIEST
find the surface area...
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex] x = 6\sqrt{2}[/tex]
Step-by-step explanation:
Reference angle = 45°
Adjacent side = 6
Hypotenuse = x
Applying trigonometric ratio, we have:
[tex] cos(45) = \frac{6}{x} [/tex]
Multiply both sides by x
[tex] x*cos(45) = 6 [/tex]
Divide both sides by cos(45)
[tex] x = \frac{6}{cos(45)} [/tex]
[tex] x = \frac{6}{\frac{\sqrt{2}}{2} [/tex] (cos 45 = √2/2)
[tex] x = \frac{6}*{\frac{2}{\sqrt{2}} [/tex]
[tex] x = \frac{12}{\sqrt{2}} [/tex]
Rationalize
[tex] x = \frac{12*\sqrt{2}}{\sqrt{2}*\sqrt{2} [/tex]
[tex] x = \frac{12*\sqrt{2}}{2} [/tex]
[tex] x = \frac{6*\sqrt{2}}{1} [/tex]
[tex] x = 6\sqrt{2}[/tex]
hat is the product of 4.01 × 10-5 and 2.56 ×108?
Answer:
35.1 and 276.48
Step-by-step explanation:
Answer:
The correct answer is: 1.0266 ×104
Step-by-step explanation:
Leena lives 1 4/7 miles from school. She walks the first 6/7 mile by herself. Then she
walks the rest of the way with her friend. How far did Leena walk with her friend? Plz help
Answer:
Leena walked 5/7 miles with her friend
Step-by-step explanation:
7/7 = 1
7 +4 =11
Answer:
5/7
Step-by-step explanation:
Given points A(2,1,3) and B(0,5,0), find a point C in the xy-plane that creates an isosceles right triangle such that:_______
a. AB and BC are the legs of the right triangle
b. AB is the hypotenuse of the right triangle (for part ii, just doing all the set-up work is sufficient; you do not need to solve and find the points)
Answer:
a.)Point C will be either (4.82, 7.41) or ( -4.82, 2.59)
b.) -x² + 2x + 6y - y² - 5= 0 , 8y - 4x = 11
Step-by-step explanation:
As given A(2,1,3) and B(0,5,0)
a.)
We have to find C in the xy-plane
⇒ C is of the form (x, y, 0) ( Because in xy plane , z coordinate is zero)
Now, given AB and BC are the legs of the right triangle .
AB = (0, 5, 0) - (2, 1, 3) = ( -2, 4, -3)
BC = (x, y, 0) - (0, 5, 0) = ( x, y-5, 0)
As AB and BC are legs of triangle
⇒AB is perpendicular to BC
⇒(AB).(BC) = 0
⇒( -2, 4, -3).( x, y-5, 0) = 0
⇒ -2x + 4(y-5) -0 = 0
⇒ -2x + 4y- 20 = 0
⇒ -x + 2y- 10 = 0
⇒ 2y = 10 + x
⇒ y = 5 + [tex]\frac{x}{2}[/tex] ......(1)
As ABC is making an isosceles right triangle
It means two sides of the triangle are equal
Now,
|AB| = √(-2)² + (4)² + (-3)² = √4+16+9 = √29
|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²
Now,
AS AB = BC
⇒|AB| = |BC|
⇒|AB|² = |BC|²
⇒29 = (x)² + (y-5)²
⇒29 = (x)² + (5 + [tex]\frac{x}{2}[/tex] -5)²
⇒29 = (x)² + ( [tex]\frac{x}{2}[/tex] )²
⇒29 = x²( 1 + [tex]\frac{1}{4}[/tex] ) = x²( [tex]\frac{5}{4}[/tex] )
⇒ x² = [tex]\frac{116}{5}[/tex] = 23.2
⇒ x = 4.82 , -4.82
⇒y = 7.41 , 2.59
so, Point C will be either (4.82, 7.41) or ( -4.82, 2.59)
b.)
As given AB is the hypotenuse of the right triangle
S, AC and CB will perpendicular to each other
Now,
AC = (x, y, 0) - ( 2, 1, 3) = ( x-2, y-1, -3)
CB = (0, 5, 0) - (x, y, 0) = (-x, 5-y, 0)
As, AC and CB is perpendicular
⇒(AC).(CB) = 0
⇒( x-2, y-1, -3).(-x, 5-y, 0) = 0
⇒(x-2)(-x) + (y-1)(5-y) - 0 = 0
⇒-x² + 2x + 5y - y² - 5 + y = 0
⇒-x² + 2x + 6y - y² - 5= 0 ..........(2)
As ABC is making an isosceles right triangle
It means two sides of the triangle are equal
Now,
|AC| = √(x-2)² + (y-1)² + (0-3)² = √(x-2)² + (y-1)² + 9
|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²
Now,
AS AC = BC
⇒|AC| = |BC|
⇒|AC|² = |BC|²
⇒(x-2)² + (y-1)² + 9 = (x)² + (y-5)²
⇒x² + 4 - 4x + y² + 1 - 2y + 9 = x² + y² + 25 - 10y
⇒ 4 - 4x + 1 - 2y + 9 = 25 - 10y
⇒14 - 4x - 2y = 25 - 10y
⇒10y - 2y - 4x = 25 - 14
⇒8y - 4x = 11 ........(3)
Now, we have 2 equations
-x² + 2x + 6y - y² - 5= 0 , 8y - 4x = 11
Solve these equations to find x, y
HELP PLZZZ EASY AREA MATH
Answer:
4,400
Step-by-step explanation:
( I will give brainlist) Mrs. Perkey solved the problem below. Oh no! It looks like she made a mistake! -3/5 + -2/5 = -1/5 What did she do wrong? Please explain how to solve this problem the correct way for full points.
Answer:
It is actually -1.
Step-by-step explanation:
((-3) / 5) + ((-2) / 5) her problem should be set up like this. She just plain out did -3/5+-2/5 and that is not what your supposed to do.
pls mark me brainliest
Answer:
-5/5= -1
Step-by-step explanation:
-3/5 + -2/5 = -5/5
when u have to add 2 minus values it shuld not be subtracted by each other but added instead and put the (-) sign infront of the final value as given above.
Can somebody please help me with this math problem please brainliest if your correct thanks picture is attached !!
Answer:
x = (3, 4)
(I'm assuming the missing sign in the picture is a negative (-))
Answer:
x={3, 4}
Step-by-step explanation:
that may answer po