Answers
Answer:
[tex] \displaystyle B) {x} = \log_{6} 118[/tex]
Step-by-step explanation:
we would like to solve the following exponential equation:
[tex] \displaystyle 2 \cdot {6}^{x} = 236[/tex]
to do so divide both sides by 2 which yields:
[tex] \displaystyle {6}^{x} = 118[/tex]
take log of base 6 in both sides so that we can solve the equation for x by using [tex]\log_ab^c=c\log_ab[/tex] and that yields:
[tex] \displaystyle \log_{6} {6}^{x} = \log_{6} 118[/tex]
use the formula:
[tex] \displaystyle {x} = \log_{6} 118[/tex]
hence,
our answer is B)
Answer:
[tex]\boxed{\sf Option \ B }[/tex]
Step-by-step explanation:
A equation is given to us and we need to find out the value of x . The given equation is ,
[tex]\sf\dashrightarrow 2 \times 6^x = 236 [/tex]
Transpose 2 to RHS , we have ,
[tex]\sf\dashrightarrow 6^x = \dfrac{236}{2} [/tex]
Simplify ,
[tex]\sf\dashrightarrow 6^x =118 [/tex]
Use log both sides with base "6"
[tex]\sf\dashrightarrow log_6 ( 6^x) = log_6 118 [/tex]
Using the property of log ,
[tex]\sf\longmapsto \bigg\lgroup \red{\bf log_p q^r = r log_p q}\bigg\rgroup[/tex]
[tex]\sf\dashrightarrow x \ log_6 6 = log_6 118 [/tex]
Again we know that ,
[tex]\sf\longmapsto \bigg\lgroup \red{\bf log_p p= 1}\bigg\rgroup[/tex]
We have ,
[tex]\sf\dashrightarrow x \times 1 = log_6 118 [/tex]
Therefore ,
[tex]\sf\dashrightarrow\boxed{\blue{\sf x = log_6 118 }} [/tex]
Hence option B is correct .
Related Questions
Write down all the prime numbers between 20 and 70
Answers
Answer:
23,29,31,37,41,43,47,53,59,61 and 67.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
23, 29, 31, 37, 41, 43, 47, 53, 61, 67
Step-by-step explanation:
Im not entirely sure but I believe I'm correct here.
simplify : 3p+2p+8-3=15
Answers
Answer:
3p+2p+8-3=15
5p+5=15
5p=15-5
5p=10
p=10/5
p=2
have a great dayy.
Answer:
p = 2
Step-by-step explanation:
One is given the following equation:
3p + 2p + 8 - 3 = 15
Combine like terms. In essence, if two number have the same variable, then one can perform operations between their coefficients. If two number have no variables, then these two terms are also like terms. After combing like terms, simplify the expression.
3p + 2p + 8 - 3 = 15
5p + 8 - 3 = 15
5p + 5 = 15
Inverse operations,
5p + 5 = 15
5p = 10
p = 2
what is the value of x ?
Answers
x = 18
Step-by-step explanation:
11 x 11 = 121
10 x 10 = 5x + 10
100 = 5x + 10
90 = 5x
x = 90/5
x = 18
Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С
Answers
Answer:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
m∠ACD + x + x = 180° ⇒ m∠ACD = 180° - 2xConsider ΔBEC
Since BE = EC, the opposite angles are congruent:
∠BCE ≅ ∠CBEThen:
m∠CBE = m∠BCE = xFind the angle BEC:
m∠BEC = 180° - (x + x) = 180° - 2xComparing the above we see that:
m∠BEC = m∠ACDprovedPls help. I really suck at math.
Determine whether the following polygons are similar.
Answers
Answer:
They are not similar.
To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.
Those triangles possess right angles as you can see the little square thingie in the corners.
Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.
There are 180 degrees in a triangle, so 180 - 120 = 60.
Therefore, the unknown angle is 60.
A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.
The other triangle has a 55 degree angle which is not on the first, so they must not be similar.
Pls brainly dont delete this link, its useful.
https://blog.prepscholar.com/30-60-90-triangle-ratio-formula
This helps you understand the special triangles.
You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.
Step-by-step explanation:
The function f(c)=95c+32 is used to convert temperatures from Celsius, c, to Fahrenheit, f(c). What is the temperature in Fahrenheit when it is 22° Celsius? Round your answer to the nearest integer. A 40° B 54° C 72° D 97°
Answers
C 72°
Answer:
we have
f(c)=9/5C+32
now
22°C to °F
°C=22°
we have
f(c)=9/5C+32
f(c)=9/5*22+32=71.6≈72
answer is
22°C=72°F
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{72^\circ F}[/tex]
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} f(c)=\frac{9}{5} c+32 \ \ in \ \ our \ \ case \\\\\\\\f(22)=\frac{9\cdot 22}{5} +32=39,6+32=7\underline1,6\approx72^\circ F[/tex]
PLEASE HELP! I'LL GIVE BRAINLIEST:)
The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is (2, -3) (2, 3) (-2, 3)
Answers
Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
Given, the equation of circle
[tex] {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} [/tex]
By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)
[tex]\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ [/tex]
Answer:
-2;3
Step-by-step explanation:
we have a formular
(x-a)^2 +(y-b)^2=c
the center of the cirlce is (a;b)
so in this case it's (-2;3)
find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}
Answers
p = 6/11.
So we have a bag that contains 6 red marbles and 6 green marbles.
Then the total number of marbles that are in that bag is:
6 + 6 = 12
There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.
Now we draw two marbles, we want to find the probability that one is red and the other is green.
The first marble that we draw does not matter, as we just want the second marble to be of the other color.
So, suppose we draw a green one in the first attempt.
Then in the second draw, we need to get a red one.
The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)
Then the probability is:
p = 6/11.
Notice that would be the exact same case if the first marble was red.
Then we can conclude that the probability of getting two marbles of different colors is:
p = 6/11.
PLZ HELP ME ASAP PLZZ
Answers
Answer:
helloo thereeee
we do such construction from a making bc arc then from b and c making x just when we need to make
Angle bisector
hope that helps ig :)
simplify the below equation
[tex]( {8x^{2} y^{3} )( \frac{3}{8}x {y}^{4} )[/tex]
Answers
Answer:
3x^3y^7.
Step-by-step explanation:
8 * x^2 * y^3 * 3/8 * x * y^4
= 8 * 3/8 * x^2 * x * y^3 * y^4
= 3x^3y^7.
Answer:
3x^3y^7
Step-by-step explanation:
( 8 x^2 y^3) *( 3/8 x y^4)
Multiply the coefficients
8 * 3/8 = 3
Multiply the x terms
x^2*x = x^3
Multiply the y terms
y^3 * y^4 = y^(3+4) = y^7
Put them back together
3x^3y^7
Please answer this!!
Answers
Answer:
BC = 6.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta =opp /adj
tan C = AB / BC
tan 45 = 6.8/ BC
BC = 6.8 / tan 45
BC = 6.8 / 1
BC = 6.8
Answer: Choice D. 6.8
Step-by-step explanation:
45,45,90 triangles, memorize that the short sides are equal to each other in length and are [tex]\frac{1}{\sqrt{2} }[/tex] the length of the long side.
Function f is graphed. According to the graph, is f even, odd, or neither?
Answers
Answer:
C
Step-by-step explanation:
f is neither even nor odd
What is the completely factored form of the expression 16x2 + 8x + 32?
4(4x2 + 2x + 8)
4(12x2 + 4x + 28)
8(2x2 + x + 4)
8x(8x2 + x + 24)
(IM ON EDGE)
Answers
A is the answer to your question
To solve this, just distribute the 4 to each of the coefficient and see if it would result in the same coefficients in the original expression
Pleeeeeeeeaaaaaaaaaaaasse help 71 points!!!!!!!!!
Answers
Answer:
54
Step-by-step explanation:
The perimeter is the sum of the outside
P = 8+4+5+10+( 4+10) +(8+5)
P = 54
One of the factors of x² + y² + 2xy - z² is ?
Answers
Answer:
x + y + z.
Step-by-step explanation:
x² + y² + 2xy - z²
= (x + y)^2 - z^2
This is the difference between 2 squares so the factors are:
(x + y + z) and (a + y - z).
Answer: The factors are (x+y+z) and (x+y-z)
In other words, it factors to (x+y+z)*(x+y-z)
=====================================================
Work Shown:
[tex]x^2 + y^2 + 2xy - z^2\\\\(x^2 + 2xy + y^2) - z^2\\\\(x+y)^2 - z^2\\\\(x+y+z)(x+y-z)\\\\[/tex]
Notes:
In the third step, I used the rule (A+B)^2 = A^2+2AB+B^2. For this, A = x and B = y.In the last step, I used the difference of squares factoring rule A^2-B^2 = (A+B)(A-B). In this case, A = x+y and B = z.Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n=12, evaluate your expression using the distributive property.
Answers
Answer:
A. 10(15) + 10n = $ made for babysitting
B. $270
Step-by-step explanation:
B. 10(15) + 10(12)
150 + 120 = $270
If all the books on a shelf with fewer than 45 books were put into piles of five books each, no books would remain. If the same book were put into piles of seven books each, two books would remain. What is the greatest number of books that could be on the shelf?
Answers
Answer:
Hence the greatest number of books that could be on the shelf is 30.
Step-by-step explanation:
Step 1:-
Here the given number of books is m,
m < 45.
If they are arranged into piles of five books, each no books would remain.
m is divisible by 5.
The last digit of m would be 5 or 0.
The same number of books, when arranged with piles of 7 books each, two books remain.
m-2 is divisible by 7.
Step 2:-
The last digit of m is 5 or 0.
m-2 will have the last digit 3 or 8.
Multiples of 7 are 7,14,21,28,35, 42;
among which only number 28 has the last digit 8 or 3.
m - 2 = 28
m = 30
The greatest number of books that could be on the shelf is 30.
Answer please be quick
Answers
Answer:
B
Step-by-step explanation:
The correct answer is B
The Master Chief collects spiders and starfish. If his spiders have 8 legs and his starfish have 5 legs, how many starfish must he have, given that his spider/starfish collection totals 19 creatures and 116 legs
Answers
Answer:
12 starfish
Step-by-step explanation:
Create a system of equations where x is the number of starfish he has and y is the number of spiders he has:
x + y = 19
5x + 8y = 116
Solve by elimination by multiplying the top equation by -8:
-8x - 8y = -152
5x + 8y = 116
Add these together and solve for x:
-3x = -36
x = 12
So, he has 12 starfish.
The total number of starfish is 12 starfishes
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of starfish be = x
Let the number of spiders be = y
The number of legs for spiders = 8
The number of legs for starfish = 5
So , the equation will be
The total number of legs for x starfish = 5x
The total number of legs for y spiders = 8y
The total number of creatures = 19
So , x + y = 19 be equation (1)
And ,
The total number of legs = 116
So , 5x + 8y = 116 be equation (2)
Now , from equation (1) , x = 19 - y
Substituting the value of equation (1) in equation (2) , we get
5x + 8y = 116
5 ( 19 - y ) + 8y = 116
95 - 5y + 8y = 116
95 + 3y = 116
Subtracting 95 on both sides , we get
3y = 21
Divide by 3 on both sides , we get
y = 7
So , the number of spiders is 7 spiders
Substituting the value of y in equation (1) , we get
x + y = 19
x + 7 = 19
Subtract 7 on both sides , we get
x = 12
Therefore , the value of x is 12
Hence , The total number of starfish is 12 starfishes
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
If m = 8 and n = 5, then m(n + 3) – n + 1 =
a. 60
b. 58
c. 39
d. 32
Answers
Step-by-step explanation:
m(n + 3) - n + 1 =
m = 8 n = 5
8(5 + 3) - 5 + 1 =
40 + 24 - 5 + 1 =
64 - 5 + 1 =
59 + 1 =
60
If a ray bisects a right angle, then each newly formed angle measures 45 degrees.
A) Sometimes
B) Always
C) Never
Answers
This is because ‘bisect’ means to spilt exactly in half. If you split 90 degrees in half, you get 45 degrees.
Hope this helps!
Answer:
Always
Step-by-step explanation:
Bisects means to divide in half
90/2 = 45
So the angles are each 45 degrees
find the ratio between 6 cm and 1.5m
Answers
Answer:
6:150
Step-by-step explanation:
If you like my answer mark me brainliest
Answer:
1:25
Step-by-step explanation:
1.5m=150cm
6:150
1:25
What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?
Answers
Answer:
firstly find the gradient given by the equation
m=y2-y1/x2-x1
in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16
m=-16+8/-17+12
=-8/-5 or1.6
then use the equation
y-y1=m(x-x1)
y+8=1.6(x+12)
y+8=1.6x+19.2
y=1.6x+11.2
I hope this helps and sorry if it's wrong
Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?
Answers
Answer:
75% of the specials served were salmon fillets
Step-by-step explanation:
We have that:
15 + 5 = 20 specials were served.
Of those, 5 were salmon fillets.
What percentage of the specials served were salmon fillets?
15*100%/20 = 75%
75% of the specials served were salmon fillets
the Marked price of a book is rupees 500 if 30% discount is all over there in a loss of rupees hundred is made what is the cost price of the book
Answers
Answer:
cost price of book is Rs. 570
Find the missing probability of 3
Answers
Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
С
32
40
B
24
A
Tan C =
Answers
Answer:
tanC will be given by the opposite over the adjacent
tanC=24/32
simplified to 6/8
I hope this helps
Staff
Americans eat 7 billion hot dogs between Memorial Day and Labor Day. If all these hot dogs were laid end to end they
would circle the earth 21.5 times. If the circumference of the Earth is approximately 24,860 miles, and one mile is
5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth)
Answers
Answer:
The length of each hot dog is 0.5000 inches.
Step-by-step explanation:
Total number of hot dogs eaten = 7 000 000 000
Circumference of the earth = 24 860 miles
21.5 times the circumference of the Earth = 21.5 x 24 860 miles
= 534490 miles
But,
1 mile = 5280 feet
So that,
534490 miles = X
X = 5280 x 534490
= 287707200 feet
Also,
1 feet = 12 inches
Then,
287707200 feet = Y
Y = 12 x 287707200
= 3452486400 inches
Thus,
the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]
= 0.4932
The length of each hot dog is 0.5000 inches.
find the value (2x +3,y-1=5,3)
Answers
Answer:
(5,3)
Step-by-step explanation:
Evaluate (2x+3,y-1=5,3)
Then you will get 5,3
So then your answer will be (5,3)
Heres your answer! Enjoy :D
Answer:
x = 1, y = 4
Step-by-step explanation:
Equating the corresponding coordinates
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
and
y - 1 = 3 ( add 1 to both sides )
y = 4
Plzz help me with this question my class test is going on
Answers
Step-by-step explanation:
2x+3y+5+4x-7y-8
2x+4x+3y-7y+5-8
6x-4y-3
Answer:
6x - 4y - 3
Step-by-step explanation:
They are basically telling you to sum both equations. So,
(2x + 3y + 5) + (4x - 7y - 8)
= 2x + 4x + 3y - 7y + 5 - 8
= 6x - 4y - 3
