Find the value of x when : 2^30/8^9=2^x
The line means divide
please i need step by stem explanation I already know answer
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
what is 345% written in decimal form? i really need help :( thanks if u can!!
got it wrong help a girl out please thank you
A(n) _______ is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
To know more about an expression follow;
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Suppose $p$ and $q$ are inversely proportional. If $p=28$ when $q=7$, find the value of $p$ when $q=49$.
Answer:$p$ =$4 when $q=49$.
Step-by-step explanation:
If $p$ and $q$ are inversely proportional, then mathematically, they are represented as
$p$ ∝ 1/$q$
So that introducing the constant of proportionality,k becomes
$p$ =k 1/$q$
$p$ =k /$q$
When $p=28$ when $q=7$,K becomes
$p$ =k /$q$
$28=K/ $7
k=$28 x $7 =$196
Now when $q=49$., $p$ becomes?
$p$ =k /$q$
$p$ =$196/49$
$p$ =$4
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Answer:
B
Step-by-step explanation:
Have a wonderful day
What is the area of a rectangle with side lengths 25 2 5 feet and 46 4 6 feet? Use the grid to help you.
Answer:
1185 10/30 square feet
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = 25 2/5 feet
width = 46 4/6
Substitute into the formula;
Area = 25 2/5 * 46 4/6
Area = 127/5 * 280/6
Area = 35,560/30
Area = 1185 10/30
Hence the area of the rectangle is 1185 10/30 square feet
A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, if necessary.
Answer:
$749.89
Step-by-step explanation:
TV price = 100% = 695.95
Sales TAX = 7.75% = x
Total price = 107.75% = x dollars
1.0775 * 685.95 = 749.886125 ≈ 749.89
If my answer is incorrect, pls correct me!
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The product of two consecutive even integers is 36 less than 18 times their sum. Find the two integers
Answer:
34 and 36
Step-by-step explanation: 7 1 17 15
product of two consecutive even integer x(x+2) x is even
product of two consecutive even integer x(x + 2) plus 36 equal 18(x +x + 2)
x(x+2) + 36 = 18(x +x +2)
x² + 2x + 36 = 18x + 18x + 36 36's cancel, 2x - 36x = -34x
x² - 34x = 0 solve for x
x( x - 34) = 0 x = 0 and 34 only 34 is an even number!
x = 34 and 36
how do you do the probability section?
Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.
Answer:
Step-by-step explanation:
let the numbers be n,n+2,n+4
2n+3(n+2)=2(n+4)+55
2n+3n+6=2n+8+55
2n+3n-2n=63-6
3n=57
n=57/3=19
so numbers are 19,21,23
Answer:
-19.333…
-18.333…
-17.333…
Step-by-step explanation:
First is x
Second is x+1
Third is x+2
2x+3(x+1)=2(x+2)-55
2x+3x+3=2x+4-55
5x+3=2x-51
5x-2x=-51-3
3x=-58
3x/3=-58/3
x=-19.333…
x+1=-19.333+1
=-18.333...
x+2=-19.333+2
=-17.333...
Work out the size of angle X
Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7
Answer:
The Coordinates are (3, 1)
Step-by-step explanation:
Use the substitution method to solve the system of equations.
Let y = x - 2 be Equation 1
Let y = -2x + 7 be Equation 2
We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.
The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.
For this I'll use equation 1 first,
y = x - 2
1 = 3 - 2
So yes, the coordinates (3, 1) satisfy Equation 1
Lets check equation 2 now,
y = -2x + 7
1 = -2*3 + 7
1 = -6 + 7
This is also another equation where the coordinates (3, 1) satisfy equation 2
So this means that the coordinates (3, 1) are viable for both equations
Hope this helps!
Factor x2−6x+8 (x+2)(x+6) (x−4)(x−2) (x−5)(x−3) (x+4)(x−4)
Answer:
(x-4) (x-2)
Step-by-step explanation:
x^2−6x+8
What 2 numbers multiply to 8 and add to -6
-4*-2 = -8
-4+-2 = -6
(x-4) (x-2)
If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?
(A) 162
(B) 130
(C) 81
(D) 34
(E) 17
Answer:
17
Step-by-step explanation:
t^2 + m^2 = 64
(t+m)^2 = 98
(t+m)^2 = t^2 +2tm+ m^2
==>
t^2 +2tm+ m^2 = 98
t^2+m^2+2tm=98
64+ 2tm=98
2tm = 98 -64
2tm=34
tm= 34/2
tm = 17
Consider the following sequence of numbers
Answer:
There are no questions below .
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get
2 pan......................
.................
Answer:
1/8 of the whole pan
Step-by-step explanation:
Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.
Divide using long division! Show your work. As soon as possible!
Answer:
Step-by-step explanation:
if you've any doubt just ask :)
Lee drove 635 miles and used 25 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline?
PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00
Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6
Answer:
6xStep-by-step explanation:
9x - 3x
[When like terms are combined then as per statement they get subtracted]
= 6x (Ans)
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find the volume???
Answer:
5.24m
Step-by-step explanation:
volume of a cone = (1/3)πr²h
= (1/3)×(22/7)×1²×5
= 5.24m
SA = 2πη2 + 2πχh
(Use 3.14 for T.)
Find the surface area of
a cylinder that has a base
radius of 2 feet and a
height of 14 feet.
square feet
Do NOT round your answer.
Answer:
201.06
Step-by-step explanation:
A=2πrh+2πr2
The circumference of a circle is 32 centimeters. Find the radius of this circle.
a. about 201.06 cm c. about 5.09 cm
b. about 100.53 cm d. about 10.19 cm
Answer:
r≈5.09cm
Step-by-step explanation:
I need help finding the slope G and J
Answer:
[tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
G(-6 , 2) = (x1 , y1)
J(-4 , -3) = (x2 , y2)
slope = y2 - y1/x2 - x1
=-3-2/-4-(-6)
=-5/-4+6
=-5/2
please help am stuck on this
write the set of positive even numbers that Is less than 15 using both the notations
Answer:
Let the set be X.
X = {x ∈ N : 2x < 15}
X = {2, 4 , 6 , 8 , 10, 12 , 14}
help help help help help help help
Answer:
D I believe
Step-by-step explanation:
I may not be correct, but i hope this helps!
which expression are equivalent to the given expression square root of 40
Answer:
2√10
Step-by-step explanation:
√40 = √(2 × 2 × 2 × 5) = 2√10.