Answer:
[tex]3 {}^{a - 4b} = 3 {}^{18} [/tex]
The value of the equation 3ᵃ / 81ᵇ = 3¹⁸
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 equation be represented as A
Now , the value of A is
a - 4b = 18 be equation (1)
Now , the value of the equation 3ᵃ / 81ᵇ = A
On simplifying the equation , we get
81ᵇ = 3⁴ᵇ
And , 3ᵃ / 81ᵇ = 3ᵃ / 3⁴ᵇ
On further simplification , we get
3ᵃ / 3⁴ᵇ = 3ᵃ⁻⁴ᵇ
And , substituting the values from equation (1) , we get
3ᵃ⁻⁴ᵇ = 3¹⁸
Hence , the equation is 3ᵃ⁻⁴ᵇ = 3¹⁸
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Determine the smallest integer value of x in the solution of the following inequality.
5x + 3 > 10
Answer:
5x = 10 - 3
x = 7/5
but 5x +3 has to be greater than 10 so x has to be greater than 7/5
so x = 2
A=(a+b)h
Work out the value of h when A = 38.64, a = 5.5 and b = 3.7.
Answer:
h = 8.4
Step-by-step explanation:
38.64 = [tex]\frac{(5.5+3.7)h}{2}[/tex]
38.64(2) = 9.2h
77.28 = 9.2h
h = 77.28/9.2
h = 8.4
Find the side length, b.
Round to the nearest tenth.
B=90°
a=6
c=7
Answer:
b = 9.2
Step-by-step explanation:
Using the Pythagorean theorem (in your case): [tex]a^{2} +c^{2} = b^{2}[/tex]
Plug in your values and solve for x:
[tex]6^{2}+7^{2} =b^{2}\\36+49 =b^{2} \\85 = b^{2} \\b = \sqrt{85} \\b = 9.2[/tex]
Jagan and Mithun calculated the value of 12 - 6 + 4.The steps are given alongside.
Who has given the correct answer, justify
Answer:
10.Step-by-step explanation:
Explanation:
[tex]12 - 6 + 4[/tex]
In order to solve this, we must use PEMDAS.
This is because there are more than one operations involved.
PEMDAS is the order in which you must solve the operations.
PEMDAS STANDS FOR:
ParenthesisExponential Notation (exponents)Multiplication/division (do whichever comes first)Addition/subtraction (do whichever comes first)Solve.
Now, using PEMDAS, I will solve.
There are no parenthesis.
There are no exponents.
There is no multiplication nor division.
There is addition and subtraction.
[tex]12-6+4[/tex]
[tex]12-6=6[/tex]
[tex]6+4[/tex]
Lastly, there is addition.
[tex]6+4=10[/tex]
Conclude:
I, therefore, believe [tex]12-6+4=10.[/tex]
You did not clarify the answers of Jagan nor Mithun.
So, whichever person got the answer of 10 is correct.
Someone PLEASE help FAST, I'm almost out of time for this question, and I really need the answer!! I'll give brainliest for good answers.
Answer:
B. Table B
Step-by-step explanation:
It is
How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function?
Answer:
See below for answer and explanations (as well as an attached graph)
Step-by-step explanation:
Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.
Take for example [tex]y=\frac{1}{x}[/tex]:
As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptoteAs y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptoteSee the graph for a visual.
Find the slope of the line that passes through the following points E (4, 1 2/3) and F (-2,2/3)
Answer:
1/6
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 2/3 - 1 2/3)/(-2 -4)
= -1/-6
= 1/6
Can I get help ?!:) pleasee
Answer:
9, not 54
Step-by-step explanation:
2/3 an also be 6/9 and 1/9
Answer:
18
Step-by-step explanation:
The LCM of 6 and 9 is 18
Then the least common denominator is 18
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2; when a = -2 which equation represents this direct variation between a and b? O b= -a O-=-a Ob-a=0 Ob(-a) = 0
Answer:
b = -a
Step-by-step explanation:
If a and b are both positions from 0, we need to write an equation that relates both positions. The problem is explaining that the position of a is opposite to the position of b.
If a = 2; b = -2. If a = 1000; b = -1000.
If a = -x; b = x. Then:
-a = x
-a = x and b = x, that means:
b = -a
Which statement is true? A.|-2.5|>|-3|
B: |-2.5|<|-3| C: |-2.5|=|-3|
Answer:
b.
Step-by-step explanation:
|-2.5|<|-3|
l -2.5 l = 2.5
l -3 l = 3
2.5 < 3
SIMPLIFY USING THE DISTRIBUTIVE PROPERTY OF RATIONAL NUMBERS
1/5+ (2/5+3/5)
Answer:
6/5
Step-by-step explanation:
1/5 + (2/5 + 3/5)
solve for the bracket first
1/5 +(2+3/5)
1/5 + (5/5)
1/5 + 1
1+1*5/5
6/5
another method
1/5 + (2/5 +3/5)
open brackets)
1/5 + 2/5 + 3/5
since their denominator are same u can add their numerator
1+2+3/5
6/5
Pls help quicky! I will also give a brainliest!!!!!
Answer:
A) 7.12
Step-by-step explanation:
Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52
Hope this helps, good luck! :)
Which of the following shows the correct process for finding the area of the shape shown below?
Answer:
A = bh = A = 9.5*14
Step-by-step explanation:
What is the slope of the linear function of (6 , 2) (9 , 8)
Answer:
1/2
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
9-6=3
8-2=6
3/6=1/2
Se desean plantar 361 plantas de limón, en un terreno cuadrado, de manera que en cada fila queden a un metro de distancia. a)Cuántas filas de limones habrá? b)Sobrarían algunos arbolitos? c)cuántos?
Answer:
a) El número de filas de limones es [tex]n = \sqrt{361} = 19[/tex]. Es decir, se necesitan 19 filas de árboles.
b) No sobran árboles.
c) 0 árboles.
Step-by-step explanation:
Dado que las plantas de limón deben cubrir un terreno cuadrado, entonces se debe satisfacer que la siguiente condición:
[tex]n^{2} \le 361[/tex]
Donde [tex]n[/tex] es el número de filas de árboles de limón.
Si [tex]n < 19[/tex], entonces sobrarán árboles.
a) El número de filas de limones es [tex]n = \sqrt{361} = 19[/tex]. Es decir, se necesitan 19 filas de árboles.
b) No sobran árboles.
c) 0 árboles.
plz i REALLY need help. explain ur answer
Answer:
#16f(x) = 3(x² + 2),the y -intercept is:
f(0) = 3(0 + 2) = 6The y-intercept of h(x) is
-6 (from table)Correct choice is M
#17
Number of students who will not eat food served at school is 47,
total number of students is 410
Required probability is:
P = 47/410*100% = 11.46%Solve for y.
-24 = -8y
Simply your answer as much as possible.
Answer:
Y=3
Step-by-step explanation:
-8 times 3 equals -24
Answer:
y = -3
Step-by-step explanation:
-24 = 8y
Divide both side by 8
-24/8 = 8y/8
-24/8 = y
divide -24 by 8 to get -3
-3 = y
rewrite ..( optional )
y = -3
Can someone help me with this question please
PLEASE ANSWER FAST 60 PTS
Answer:
Dude I can't read that are you trying to solve for x?
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
The scale factor of the enlarged image of a bug is 1:0.125. The diagram measures 16mm, what is the actual length
Answer:
it is 2mm long
Step-by-step explanation:
16x0.125=2 so it is 2mm long
This is just for people to get points!! Whats 10 x 10?
Answer:
is equls to 100 Brainliest 6
can someone please help me?
Help I’ll mark as brainliest!!
Answer:
8
Step-by-step explanation:
Your welcome! :)
Good Luck!
A town of 8660 people is expected to grow by 5% next year. What is the (total) expected population of the town next year?
Answer:
9093
Step-by-step explanation:
5÷100×8660=433
8660+433=9093
Hope this helps
Using percentage, the expected population of the town next year is 9093 people.
What is percentage?Percentage is defined as a given part or amount in every hundred.
Current population = 8660 people
Expected population next year = [tex]8660 + \frac{5}{100}*8660 = 8660 + 433 = 9093[/tex] people.
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Seriously I haves to do this again pls answer for real
And sure I do have 1106 points left but still stop wasting peoples time
What is the atmospheric pressure?
a. 4.7 pounds per square inch
b. 13.2 pounds per square inch
c. 1.7 pounds per square inch
d. 14.7 pounds per square inch
Answer:
D
Step-by-step explanation:
The atmospheric pressure is about 101325Pa.
Pascal is a unit for pressure and since pressure can be defined as force/ area, the pressure can also be written as 101325 N/m².
1 m² ----- 101325 N
Pounds is a unit for mass, so let's relate force (Newtons) to mass.
[tex]\boxed{F = ma}[/tex]
☆ where F= force, m= mass and a= acceleration due to gravity
Since the gravitational field strength is about 9.8 N/kg on earth, a= 9.8.
101325= m(9.8)
m= 10339 Kg (5 s.f.)
Since 1 kg is about 2.205 pounds,
m
= (10339 ×2.205) pounds
= 22797.495 pounds
= 22797 pound (5 s.f.)
1 m² ----- 22797 pounds
Now convert m² to in².
1 m² is about 1550 in², thus
1550 in² ----- 22797 pounds
1550 in² ----- 22797 pounds
1 in²----- 22797 ÷1550
1 in² ----- 14.708 pounds (5 s.f.)
1 in² ----- 14.7 pounds (3 s.f.)
Thus, 1 atm≈ 14.7 pounds per square inch.
Answer:
d. 14.7
Step-by-step explanation:
Let r(x)=x^2.If r(x)=4,find x
A.2
B.-2
C.4
D.Both 2 and -2 are correct
E.None of these choices are correct
When laid flat, a round parachute has a radius of 6 meters. What is the parachute's diameter?
Answer:
12 meters
Step-by-step explanation:
The diameter is twice the radius
d = 2r
d = 2(6)
d = 12 meters
Answer:
the diameter is 12
Step-by-step explanation:
radius is half of the diameter
Which of the following will result in a rational number? Select all that apply.
A. 645+9√4
B. 645−5√7
C. 645×9√4
D. 645÷5√7
help me please
Answer:
B. 645−5√7
Correct me if iam wrong
Hello there, could you please help me? Thank you
Answer:
24
Step-by-step explanation:
Segment AC is 1/2 of segment AB so 12+12=24
Hope this helps
