Answer:
The solution is 1.
Step-by-step explanation:
Logarithm:
Suppose we have a logarithmic equation in the following format:
[tex]\log_{a} b = c[/tex]
It means that:
[tex]a_c = b[/tex]
In this question:
[tex]\log_{b} 1 = x[/tex]
Which means that:
[tex]b^x = 1[/tex]
Every number, elevated to 0, is 1. So
[tex]b^0 = 1[/tex]
Which means that the solution is [tex]x = 1[/tex]
2/9 of the students in a school are in sixth grade.
How many students are in the school if 42 of them are sixth graders?
Answer:
189 students
Step-by-step explanation:
WILL MARK BRAINLIEST! Kody’s alarm rings every 11 minutes, and his dad calls upstairs every 15 minutes to wake him up. But Kody will only wake up if his alarm rings and his dad calls him at the same time. If his alarm first rings at 7:00 a.m. and his dad first calls him at 7:05 a.m., at what time will Kody wake up?
Answer:
10:15
Step-by-step explanation:
Can someone help me plsssss
Answer:
x = [tex]\sqrt{116}[/tex]
Step-by-step explanation:
Remember the pythagorean theorem is A^2 + B^2 = C^2\
C is the hypotenuse which you are looking for.
SO
100 + 16 = [tex]\sqrt{116}[/tex]
ANSWER [tex]\sqrt{116}[/tex] or about 10.7703296143
plz help me do 2,3,4,5 I did 1 but 2,3,4,5 it is hard for me, please.
A restaurant has a total of 25 tables. 7 tables seat 6 people, 8 tables seat 5, and 10
tables seat 4. How many can be seated in the restaurant?
12344567^#&!&/7!&"*#7"*'*"8'8/)"
Answer:
15
Step-by-step explanation:
6+5+4=15
Alvin's age is two times Elga's age. The sum of their ages is 81. What is Elga's age?
Answer:
Elga is 27 years old
Step-by-step explanation:
AGE
Alvin 2x
Elga x
x+2x = 81
81=3x
81/3=x
x=27
Hope this helps! (:
Answer:
20.25
Step-by-step explanation:
81 = (x*2)*2
81 ÷2 ÷2 = x
x = 20.25 or 20 and 1/4
In a class of 32 students, 16 students study Spanish, 14 students are in band, 6 students are in both Spanish and band. What is p(Only Spanish Student)?
Answer:
Step-by-step explanation:
16 students study spanish, but 6 student that study spanish are also in the band.
16-6=10
So there are 10 students who only study spanish.
need a answer ASAP!
1. Which number below is not an integer?
0
12
5.35
45
Answer:
5.35
Step-by-step explanation:
Hope that helps you
Go Green, a landscaping company, has seven employees including the manager, Zenya. The yearly salary for each employee is shown in the table
Employee
Jimmy
Aysel
Dakota
Sven
Anika
Miku
Zenya
Salary
$18,000
$22,000
$21,000
$24,000
$25,000
$20,000
$46,000
If Go Green is placing an ad on the Internet to hire an additional employee, which measure would be most accurate to determine the salary of the 8th employee?
O mean
O median
O mode
interquartile range
Answer:
Mean
Step-by-step explanation:
Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13 and her machine costs $0.50 per game. After how many games will the girls have the same amount of money remaining?
Answer: After they've played 8 games, they will have the same amount of money remaining.
Step-by-step explanation:
Represent the number of games by the variable x and the remaining amount of money by the variable y.
Deanna's situation can be represented by the equation y = 15 - 0.75x
Lisa's situation can be represented by the equation y = 13 - 0.50x
Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.
15 - 0.75x = 13 - 0.50x
-13 -13
2 - 0.75x = - 0.50x
+0.75x +0.75x
2 = 0.25x
x = 8
1/3 of 5/8 as a fraction
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
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so 1.61 km = 1 mile, and my math assignment asks how many miles is 10,000 km, help!!
Answer:
16,100
Step-by-step explanation:
1.61 x 10,000
A Ferris wheel has a radius of 37 feet. The bottom of the Ferris wheel sits 0.6 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise.
Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position, a.
f(a)=
Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s.
g(s)=
Answer:For the first one, it should be f(a)=37.8(1-cos(a))+.7. My dearest apologies because I do not know why. I just used context from the previous questions. I hope that helps..!
Step-by-step explanation:
The height of the given Ferris wheel can be described with the aid of a
sinusoidal function.
The height above the ground in terms of the angle turned, a, is
presented as follows;
[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]The height above the ground in terms of the distance traveled, s, is
presented as follows;
[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]Reason:
The general form of an equation of a Ferris wheel is presented as follows;
f(a) = A·sin(a + C) + D
Where, the amplitude, A = The radius = 37 ft.
D = The midline = Height above the ground + The amplitude
D = A + 0.6 = 37 + 0.6 = 37.6
The 6 O'clock is the lower most position, therefore, at the start, where, 'B·t + C' = 0, we have;
f(a) = A·sin(0 + C) + D
Therefore
f(a) = 37·sin(0 + C) + 37.6 = 0.6
f(a) = 37·sin(C) = 0.6 - 37.6 = -37
[tex]sin(C) = \dfrac{-37}{37} = -1[/tex]
C = sin⁻¹(-1) = [tex]-\dfrac{\pi}{2}[/tex]
The equation of Ferris wheel is presented as follows;
Which gives the equation of the height above the ground (in feet) in terms
of the number of radians, a, you have swept out from the 6 O'clock
position is given as follows; Ferris ;
[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]Part 2
s = a·r = a·A
Therefore;
[tex]a = \dfrac{r}{s} = \dfrac{A}{s} = \dfrac{37}{s}[/tex]
Plugging the value of s into the above equation gives the function that
determines the height above the ground (in feet) in terms of the number of
feet traveled g(s) as follows;
[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]Learn more here:
https://brainly.com/question/23844627
Parallelogram ABCD has the coordinates:
Find the coordinates of point D.
A)
(4,0)
B)
(4, -1)
C)
(3,-1)
D)
(5,-2)
write a word problem that can be modeled by the equation x + 5 = 12
Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7
which function is linear? Select all that apply.
A y=6x3+8
B y=4x3+2
C y=x+1
D y=2x+8
Answer:
C and D
Step-by-step explanation:
I'm guessing the 3 in A and B are exponents, only equations with an highest exponent of 1 is linear
Can anyone help me please
Answer:
y = 120
Step-by-step explanation:
y = 4x (corresponding angles)
y + 2x = 180
substitute the value of y into the second equation
4x + 2x = 180
6x = 180
x = 30
now that we have the value of x, plug it into either equation and solve for y
y = 4 (30)
y = 120
Write the inequality for the graph.
9514 1404 393
Answer:
-1 < x < 2
Step-by-step explanation:
The graph indicates the variable may take on values between -1 and 2, not including those values. The compound inequality is written ...
-1 < x < 2
–3(x – 14) + 9x = 6x + 42
Answer:
All real numbers
0 = 0
Step-by-step explanation:
Hope i'm right
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.
Answer:
Step-by-step explanation:
-3x + 42 + 9x = 6x + 42
6x + 42 = 6x + 42
0 = 0
infinitely many solutions
90 596 round to the nearest 10000
Answer:
91 000
Step-by-step explanation:
596 rounds up to 600
600 is closer to 91 000 (it's 400 away) than to 90 000 (600 away).
Each rectangle below has an area of 4 cm? Each square has an area of 2 cm?
If a rectangular box were made from the pattern, what would be the surface area?
Answer:
Literally any even number that’s not two or four
Step-by-step explanation:
I need a layout
Calculate the distance between the points k=(-1,-1) and H=(3,-9)
Answer:
the distance is: [tex]\sqrt{80}[/tex]
Step-by-step explanation:
We use he distance formula:
distance = [tex]\sqrt{(-9 + 1)^2+(3+1)^2}=\sqrt{64+16} =\sqrt{80}[/tex]
Answer:
Step-by-step explanation:
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2\\ \\ d^2=(3- -1)^2+(-9- -1)^2\\ \\ d^2=4^2+(-8)^2\\ \\ d^2=16+64\\ \\ d^2=80\\ d=\sqrt{80}\\ \\ d=4\sqrt{5}\\ \\ d\approx 8.9[/tex]
I am not understanding this topic in math and I have a huge test tomorrow and I need to sleep, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️
Answer: (-3,-4)
Step-by-step explanation:
If the any x variable is repeated, it is not a function!
volume of a cone
radius = 4.7
height 17.3
Given the parent function f(x) = x^2 describe the graph of y = (x-5) ^2 -2
a.
translated right 2 units and down 5 units
c.
translated left 5 units and down 2 units
b.
translated right 5 units and down 2 units
d.
translated left 2 units and down 2 units
Please select the best answer from the choices provided
A
B
C
D
Answer:
translated right 5 units and down 2 units
Step-by-step explanation:
its right 5 because, if it is in a parenthesis, it will become the opposite. if it out of the parenthsis it would stay the same.
Answer:
B
Step-by-step explanation:
edge 2021
A stop sign is in the shape of a regular octagon. A regular octagon can
One triangle that makes up the stop sign has a base of 15 inches and a
stop sign
a. 1000 sq. in
c. 980 sq.in
b. 1080 sq. in
d. 1200 sq. in
Answer:
c
Step-by-step explanation:
Answer:
Your answer is C. :)
Step-by-step explanation:
Find
dy da
and if – 522
dz dy
3.0 – 5y2 – 10y = 0.
dy
da
dir
dy
Answer:
dy/dx=10x+3
-10(y+1)
dx/dy= -10(y+1)
10x+3
Max points! I need these answered quick
Answer:
4) 1/5
5) 5/28
6) 7/36
Step-by-step explanation:
4) 3/15=1/5
5) 5/28
6) 14/72=7/36
Answer:
3/5 × 1/3 = 1/5
5/7 × 1/4 = 5/28
7/8 × 2/9 = 7/36
Step-by-step explanation:
Niles scored 70, 74, 72, 71, 73, and 96 on his 6 Geography test. Calculate the mean and median.
Answer:
Mean=76
Median=72.5
Step-by-step explanation:
Mean= 70+71+72+73+74+96
456/6=76
Median = 70,71,72,73,74,96
72+73=145/2=72.5
Mean= 76
Median= 72.5
The first step is to rearrange the numbers
70, 71, 72, 73, 74, 96
1. mean= sum of terms/number of terms
= 70+71+72+73+74+96/6
= 456/6
= 76
2. Median can be described as the middle number, the median can be calculated as follows
= 72+73/2
= 145/2
= 72.5
Hence the mean is 76 and the median is 72.5
Please see the link below for more information
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