Note: Consider the base of all is 3 instead of comma.
Given:
Consider the given value is [tex]\log_37=1.77[/tex].
To find:
The value of [tex]\log_363[/tex].
Solution:
Using properties of logarithm, we get
[tex]\log_363=\log_3(9\times 7)[/tex]
[tex]\log_363=\log_3(3^2\times 7)[/tex]
[tex]\log_363=\log_3(3^2)+\log_3(7)[/tex] [tex][\because \log ab=\log a+\log b][/tex]
[tex]\log_363=2+ \log_3(7)[/tex] [tex][\because \log_aa^x=x][/tex]
[tex]\log_363=2+1.77[/tex] [tex][\because \log_37=1.77][/tex]
[tex]\log_363=3.77[/tex]
Therefore, the value of [tex]\log_363[/tex] is 3.77.
Applying logarithm properties, it is found that:
[tex]\log_3{63} = 3.77[/tex]
We want to find [tex]\log_3{63}[/tex], considering that [tex]63 = 7 \times 9 = 7 \times 3^2[/tex], we have that:
[tex]\log_3{63} = \log_3{(7 \times 3^2)}[/tex]
The first property applied is:
[tex]\log{a \times b} = \log{a} + \log{b}[/tex]
Hence:
[tex]\log_3{63} = \log_3{(7 \times 3^2)} = \log_3{7} + \log_3{3^2}[/tex]
The next property is:
[tex]\log_a{a^b} = b[/tex]
Hence:
[tex]\log_3{7} + \log_3{3^2} = 1.77 + 2 = 3.77[/tex]
A similar problem is given at https://brainly.com/question/2620660
The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
18 cm
Calculate the total shaded area.
Take it to be 3.142 and write down all the digits given by your calculator.
Answer:
69.498
Step-by-step explanation:
first find the area of the whole square (how i saw it), remember
it is made up of a circle drawn inside a square.
so we do the area of the square = 18²
= 324
next we find the circle which was drawn, the circle covers up the
whole shaded square.
diameter would be 18 as the length of the square was 18,
then we find the radius, 18/2 = 9
now we use πr²,
r would be the radius (9)
therefore it would be π(81) and we get 254.502
now we take away the area of the circle covering the square
from the area shaded in,
therefore 324 - 254.502
= 69.498
( 1st time ive posted an answer btw )
Please help me with this question.... please...
Answer:
just plug in the x value into the equation and put it in ur calculator
PT2 To my last question!!!! please answer quickly
Answer:
3rd one
Step-by-step explanation:
Brainliest?
Un hacendado a comprado doble numero de vacas que de bueyes, por cada vaca pago 70 dólares y por cada buey 85 dólares, si el importe de la compra fueron 2,700 dólares cuantas vacas y bueyes compro
Responder:
Número de bueyes = 12
Número de vacas = 24
Explicación paso a paso:
Dado que :
Número de vacas compradas = 2 veces el número de bueyes;
Sea número de bueyes = y
Número de vacas = 2 años
Costo de la vaca = 70
Costo de bueyes = 85
Costo total = 2700
Por lo tanto;
(2 años * 70) + (y * 85) = 2700
140 años + 85 años = 2700
225 años = 2700
225 años / 225 = 2700/225
y = 12
Número de bueyes = y = 12
Número de vacas = 2y = 2 * 12 = 24
I ONLY HAVE 5 MIN TO TURN THIS IN CAN SOMEONE PLEASE HELP ME!!!!!!!!
Answer:
a. x = 8 yearsb. 52,000Step-by-step explanation:
company A = 28,000 + 3,000 (x)
company B = 36,000 + 2,000 (x)
where x = no. of years.
company A = company B28,000 + 3,000 (x) = 36,000 + 2000 (x)
3,000 (x) - 2,000 (x) = 36,000 - 28,000
1,000 (x) = 8,000
x = 8,000
1,000
x = 8 yearsplugin value of x = 8 into company A and Bcompany A = 28,000 + 3,000 (8)
company A = 52,000company B = 36,000 + 2,000 (8)
company B = 52,000i need help with this asap please
Answer:
The perimeter is 100 feet. This means that all the sides of the shape must add up to equal 100.
x + x + 5 + x - 3 + x + 4 = 100
4x + 5 - 3 + 4 = 100
4x + 6 = 100
4x = 94
x = 94/4
x = 23.5 feet
write the equation of a line in point slope form that passes through the point (3,6) and has a slope of -2/3
PLS HURRY!!!
A parabola has a vertex at (0,0). The equation for the
directrix of the parabola is x = -4. In which direction does the parabola open?
Answer:
Right.
Step-by-step explanation:
The answer is right on edge2020 I just took the test.
The direction in which the parabola will open is; To the right
What is the equation of a parabola?We are given;
The vertex of the parabola is at (0, 0)
Directrix of the parabola is x = -4
We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;
y² = 4ax
Thus, we can conclude that the parabola opens towards the right.
Read more about Parabola at; https://brainly.com/question/17987697
Dose anyone know this? Like I'm confused on what to do.
4×2×(-3)+(-10)÷5
Answer:
start with the prostheses first and the -3 and -10 together us
Step-by-step explanation:
Please
excuse
my
dear
ant
sally
Answer:
-26
Step-by-step explanation:
4×2×(-3)+(-10)÷5
=(8)(−3)+−10/5
=−24+−10/5
=−24+−2
=−26
-8m - 12 > -5(m - 8) – 3(m - 7)
Write the solution to the inequality
Answer:
No answer.
Step-by-step explanation:
- 8m - 12 > -5m + 40 - 3m + 21
combine terms
-8m - 12 > -8m +61
add 8m to both sides
-12 > 61
negative 12 is not greater than 61
Solve for X
[tex] \frac{x - 6}{2} = \frac{2 - x}{x} [/tex]
Answer:
[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
Step-by-step explanation:
[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]
[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
is this relation a function? justify your answer.
please help!
Answer:
C
Step-by-step explanation:
No, because you can not use the same X more than once. It has to pass the vertical line test. So it'll be option C
what are the solutions to the equation |2x+8|-14?
Answer:
Step-by-step explanation:
Factor out the common term 2.
|2(x+4)|-14∣2(x+4)∣−14
Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4
Answer:
Domain: (-∞,∞)
Range:(-∞,∞)
Step-by-step explanation:
The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A function that fluctuates linearly with respect to the changing variable is referred to as being linear.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the function,
ƒ(x) = -5x + 4
Range of the function ;
Since the value of the function is defined for all real x and the value will be unique so
Range = (-∞,∞ ).
The domain of the function ;
Since it is defined for all real x so,
Domain = (-∞,∞ )
For more about the linear function
brainly.com/question/21107621,
#SPJ2
si en una caja hay 5 pelotas una verde una amarilla.una azul.una negra y una roja ya a salido la rija y la verde cual es la posibilidad de sacar la azul en una cuarta vez
Answer:
uno a tres
Step-by-step explanation:
Creo que es correcto
Avísame si estoy equivocado
Y que tengas un feliz día de acción de gracias
Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm
Answer:
D
Step-by-step explanation:
Refer to the picture that givem
Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025
its a because .25x4=1.00
Answer:
B. 1/4 and 0.0025
Step-by-step explanation:
There are 50 animals in a shelter. Sixty percent of the animals are dogs. Which equation can be used to find the number of dogs in the shelter?
11 points
Answer:
60/100 divided by 2
Step-by-step explanation:
60%= 60/100
100 divided by 2 is 50
( what you do to the top you do to the bottom)
60 divided by 2 is 30
60/100= 30/50
So the answer is 30
HOPE THIS HELPS o(≧o≦)o ◑﹏◐What is the value of f(3) ?
Answer:
f(3)=-60
Step-by-step explanation:
f(3)=5*(3^2)-7(4*3 + 3)
f(3)=5*9 - 7*15
f(3)=45-105
f(3)=-60
Answer: -60
Step-by-step explanation:
f(3) means that you replace the input function of x with 3; So, your equation would look something like this:
5(3)^2 - 7(4(3) +3)
= 5(9) - 7(15)
= 45 - 105
= -60
In a survey of 500 people, 31% percent said they were afraid of flying what decimal represents the number of people who said they were afraid of flying?
Answer:
0.31
Step-by-step explanation:
Given that :
Total number surveyed = 500
Percentage who are afraid of flying = 31%
Decimal which represents number of people who are afraid of flying :
Converting 31% into decimal form:
31 / 100
= 0.31
Hence 0.31 of the people surveyed were afraid of flying
How can you tell a triangle is similar with having only one side number?
Answer:
If the pictures are relevant:
Step-by-step explanation:
Measure the sides, or look for the best fit image
Emily and Tammy each opened checking accounts on the same day, intending to withdraw money for weekly expenses. Emily opened her account with $710 and withdrew $35 per week. Tammy opened her account with $570 and withdrew $25 weekly. In how many weeks, w, will their account balances be equal? Group of answer choices
Answer:
15 weeks
Step-by-step explanation:
pls help what is Increase 5.4 by 1 1/27.
PLS HELP
T-T
Answer:
5/4
Step-by-step explanation:
1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.2p
15.2·0.25−48.51÷14.7/x = ( 13/44 − 2/11 − 5/66 ÷2 1/2 )·1 1/5 / 3.2+0.8·(5 1/2 −3.25)
Plz Answer soon. Need by today
Answer:
x=25
Step-by-step explanation:
Hope it right
I need help with this slope problem
Answer:
what is it? you did not post the picture
What is the value of the expression below when x=10x=10 and y=4y=4? 8x-7y 8x−7y
Answer:
X=10x =10
means here value of X is 1
y = 4y = 4
means here value of y is also 1
now substitute the values of X and y in the equation
8×1-7×1×(8×1-7×1)
8-7(8-7)
64-49
15
Molly is getting an early start on holiday shopping! She has $55.00 to spend on gifts. She first buys her mom a sweater for 17.50. She then found matching bracelets for her friends that cost $7.50 each. How many bracelets did she buy?
a) Write a let statement below to define your variable(s): *
b) Set up an equation using the variable you defined in (a): *
c) Solve your equation & Check. How many bracelets did Molly buy? JUST TYPE THE NUMBER. EXAMPLE: IF she bough 17 bracelets JUST TYPE "17" *
d) Upload a picture of your SOLUTION & CHECK. *
Plz help me anyone oi need help
Answer:
5
Step-by-step explanation:
55$-17.50=37.5
37.5/7.5=5
On the coloring sheet find the ratio that is equivalent to 2/7
Answer:
Equivalent Ratios of 2 : 7
2 : 7 4 : 14 6 : 21 8 : 28 10 : 35 12 : 42 14 : 49 16 : 56 18 : 63 20 : 70 22 : 77 24 : 84 26 : 91 28 : 98 30 : 105 32 : 112 34 : 119 36 : 126 38 : 133 40 : 140 42 : 147 44 : 154 46 : 161 48 : 168 50 : 175 52 : 182 54 : 189 56 : 196 58 : 203 60 : 210
( Brainlyst helps my rank <3 )
Customers of a certain credit card earn points for using the card. The table below shows the number of points earned for the amount spent. ( Photo Attached )
Predicted number of points for spending $10 :
___
Will give Brainliest (:
Answer:
Just hit continue.
Step-by-step explanation:
The predicted amount is for the second button only.
Each dollar spent does not always earn the same number of points.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Customers of a certain credit card earn points for using the card.
The table shows the number of points earned for the amount spent.
Now, By the given table which shows the number of points earned for the amount spent.
⇒ Number of points in 4 dollars = 36
Hence, Number of points in 1 dollars = 36/4 = 9
⇒ Number of points in 7 dollars = 56
Hence, Number of points in 1 dollars = 56/7 = 8
⇒ Number of points in 9 dollars = 72
Hence, Number of points in 1 dollars = 72/9 = 8
Thus, We get;
⇒ Each dollar spent does not always earn the same number of points.
Learn more about the mathematical expression visit:
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Could anyone help please?
Answer:
9.6 or round it to 10
Step-by-step explanation:
brainliest pls