9514 1404 393
Answer:
A) x^-28*7^-56
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
1/a^b = a^-b
__
[tex]\left(\dfrac{x^4}{7^{-8}}\right)^{-7}=(x^47^8)^{-7}=x^{4(-7)}7^{8(-7)}=\boxed{x^{-28}7^{-56}}[/tex]
Enter 8 100 as a money amount and as a decimal in terms of dollars
Answer:
8.1-00
Step-by-step explanation:
Enter 8 100 as a money amount and as a decimal in terms of dollars
Show the solution for a two square room have a total floor area of 89m rise to power 2 one room is 3mlonger each way than the other find the dimensions of the two rooms
Answer:
side length of the smaller room = 5 m
Side length of the larger room = 8 m
Step-by-step explanation:
Total area of two square room = 89 m²
Area of a square = side²
Let
x = side of the smaller square
x + 3 = side of the longer square
Total area = area of room A + Area of room B
89 = x² + (x + 3)²
89 = x² + x² + 6x + 9
89 - 9 = 2x² + 6x
2x² + 6x = 80
2x² + 6x - 80 = 0
Divide through by 2
x² + 3x - 40 = 0
Solve quadratic equation using factorization method
x² + 8x - 5x - 40 = 0
x(x + 8) -5(x + 8) = 0
(x - 5) (x + 8) = 0
(x - 5) = 0 (x + 8) = 0
x = 5 x = -8
The side length of a square room can not be a negative value
Therefore, side length of the smaller room = 5 m
Side length of the larger room = 5 + 3
= 8 m
What type of correlation is shown?
х
xx
Х
X
I do not understand this. Please help, need answer right away
Answer:
50%
Step-by-step explanation:
Answer:
38
----
52
Step-by-step explanation:
Marcus is biking at 15 kilometers per hour. How long will it take Marcus to travel 37.5 kilometers?
Answer:
2.5
Step-by-step explanation:
Divide 37.5 by speed per hour
37.5/15=2.5
Answer:
2.5 hours
Step-by-step explanation:
Eli needs to place buoys at specific points in the inlet. He used the expression x4−81 to find the location for each buoy. Which expression is equivalent to Eli's expression?
Answer:
[tex]x^4 - 81 = (x - 3)(x+3)(x^2 + 9)[/tex]
Step-by-step explanation:
Given
[tex]x^4 - 81[/tex]
Required
Write an equivalent expression
Express 81 as 9^2
[tex]x^4 - 81 = x^4 - 9^2[/tex]
Express x^4 as (x^2)^2
[tex]x^4 - 81 = (x^2)^2 - 9^2[/tex]
Apply difference of two squares:
[tex]x^4 - 81 = (x^2 - 9)(x^2 + 9)[/tex]
Express 9 as 3^2
[tex]x^4 - 81 = (x^2 - 3^2)(x^2 + 9)[/tex]
Apply difference of two squares
[tex]x^4 - 81 = (x - 3)(x+3)(x^2 + 9)[/tex]
Hence, an equivalent expression is: [tex](x - 3)(x+3)(x^2 + 9)[/tex]
if -0.3x − 30 = 60 what is x
Answer:
Step-by-step explanation:
if we have
-0.3x-30=60
-0.3x=60+30
-0.3x=90
x=90/-0.3
x=-300
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = -300
Step-by-step explanation:
Use synthetic division to divide the polynomials.
(2y^3 + 6y² + 7y - 6) / (y + 1)
Answer:
Step-by-step explanation:
-1_| 2 6 7 -6
-2 -4 -3
2 4 3 -9
2y^2 + 4y + 3 - 9/(y + 1)
Determine the area of the figure shown
Answer:
I can't see the figure.
Answer:
270 inches
Step-by-step explanation:
Multiply all sides
PLEASE HELP 100 points and Brainliestwill be given!!
Which equation represents exponential decay?
Answer:
The answer is C
Step-by-step explanation:
Exponential decay is when b is between 0 and 1.
Answer:
C. y = 10(0.13)^x.
Step-by-step explanation:
exponential decay is decreasing from what I remember from Algebra 1 Honors. So therefore, your only answer can be C. y = 10(0.13)^x.
The others all increase because 31, 3.1, 1.03 are all bigger than 1 which means that they increase while .13 decreases.
C. y = 10(0.13)^x.
what's the equation with a rate of change of 3
1. 3y=2x+5
2.y=6x-3
3.y=3x+12
Answer:
3. Y=3x+12
Explanation:
3 is used as the rate for whatever is for x
Estimate 73% of 120
Thanks if you help!
Answer:
73/100 (120)
answer:-87.6
Answer:
87.6
Step-by-step explanation:
[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]
73*120/100= 87.6
Which would you use to determine how much money you have left over to save each month?
Answer
✔ income statement
Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?
Answer:
5b + 12c
Step-by-step explanation:
-5a +5 a = 0
12b-7b = 5b
12c= 12c
therefore you have the expression 5b+12c
Determine two values of C that allow each expression to be factored
*Please explain step by step*
(X^2+6x+C)
The answer vary but let use 9 and 8.
Step-by-step explanation:
First, let write this equation down.
[tex] {x}^{2} + 6x + c[/tex]
In order to factor this expression, we must think of two numbers that can add to 6, but Also multiply to C. This number vary but let use two potential scenarios
Let use 3 and 3 since 3+3=6 to find C let multiply 3 and 3.
3x3=9.
So one value of C could be 9.
This expression factor equal
[tex](x + 3) {}^{2} [/tex]
Let use another one.
Since 2 and 4 add to 6. Let multiply 2 and 4 to find C.
[tex]2 \times 4 = 8[/tex]
So c=8
Thus expression factor equal
[tex](x + 2)(x + 4)[/tex]
the number - 12/16 can be reduced as
Answer:
3/4
Step-by-step explanation:
12 divide 4 3
16 divide 4 4
Answer:
-3/4
Step-by-step explanation:
-12/16 ÷ 4 = -3/4
Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen numbers. What is the largest product that Khushali can make?
Answer:
The answer i got is 192
Step-by-step explanation:
the largest numbers shown is 8,6 and 4. When you multiply all three of them you get 192
Answer:
280
Step-by-step explanation:
Through trial and error, one can figure out that the answer is 280. Now, you might first try to go 8 * 6 * 4, which equals 192. However, if you get the product of two negative numbers, it becomes a positive, which we can use. Using the numbers -7, -5 (which cancel out each other making the product positive), and 8, the product of all of them is 280. The largest product that Khushali can make is 280.
8 * 6 * 4 = 192
(-7) * (-5) * 8 = 35 * 8 = 280
Replace each ? with an expression that will make the right side of the equation equivalent to the right side.
1. 6x+?= –10x
2. 6x+?= 10
Answer:
2 if x=2
Step-by-step explanation:
What does 4×(-6) equal if you solve
Answer:
-24
Step-by-step explanation:
Since only one of the factors has a negative sign, the product will be negative.
4 · (-6) = -24
Answer:
-24
Step-by-step explanation:
4×(-6)
Remove parenthesis
-4 x 6
= -24
Extra
Its basically the same thing as 4 x 6 (which is 24) the only difference here is that the 4 is a negative.
POSITIVE FORM NEGATIVE FORM
4 x 6 = 24 -4 x 6 = -24
6 x 4 = 24 -6 x 4 = -24
Hope this helps :)
Jeff can paint 28 square feet every 15 minutes. Angela can paint 115 square feet every hour. Who can paint faster, and by how many square feet per hour?
Answer:
Angela by 3 sf per hour
Step-by-step explanation:
60÷15=4
28×4=112
115-112=3
find a and b if
[tex] \sqrt{5} + \sqrt{3} \div \sqrt{5 } - \sqrt{3} [/tex]
if a-b√15
Answer:
a=-19/7, b=5/7
Step-by-step explanation:
Answer:
a = 4 b = -1Step-by-step explanation:
I think you meant [tex](\sqrt5+\sqrt3)\div(\sqrt5-\sqrt3)[/tex]
Then:
[tex](\sqrt5+\sqrt3)\div(\sqrt5-\sqrt3)=\dfrac{\sqrt5+\sqrt3}{\sqrt5-\sqrt3}\cdot\dfrac{\sqrt5+\sqrt3}{\sqrt5+\sqrt3}=\\\\\\=\dfrac{(\sqrt5)^2+2\cdot\sqrt5\cdot\sqrt3+(\sqrt3)^2}{(\sqrt5)^2-(\sqrt3)^2}=\dfrac{5+2\sqrt{15}+3}{5-3}=\dfrac{8+2\sqrt{15}}{2}=\\\\\\=\dfrac{2(4+\sqrt{15})}{2}=4+\sqrt{15}\\\\\\a=4\,,\qquad b=-1[/tex]
can you do step by step I wasn't paying attention in class
Answer:
B
Step-by-step explanation:
The 47 comes from no where and is just a random number so it cannot be an equation that you can use.
Answer:
A
Step-by-step explanation: I can figure out everything else except for A.
Area of an equilateral triangle is 36√3 cm2
. Find its side.
Answer:
a=12 will be answered
Step-by-step explanation:
a=side
a=12
Answer:
12
Step-by-step explanation:
you have to divide 3 by 36 to get 12
Steve has a 100 $ gift card for his phone, he wants to use it on songs a song cost 3.99 how many songs can Steve buy using the gift card?
Answer:
Steve can buy 25 songs with his gift card.
Step-by-step explanation:
Money with Steve = $ 100
Money per song = $ 3.99
No. of songs Steve can buy =?
No. of songs Steve can buy = Money with Steve ÷ Money per song
No. of songs Steve can buy = $100 ÷ $3.99 (round off 3.99 to 4)
= 100 ÷ 4
= 25 songs.
648 flowers were arranged in 27 large vases, with the same number in each vase. How many flowers would be needed to fill 120 vases?
Answer: 2880 flowers
Step-by-step explanation:
Since 648 flowers were arranged in 27 large vases, with the same number in each vase, this means that each vase will contain 24 flowers
= 648/27
= 24 flowers
Therefore, the number of flowers needed to fill 120 vases will be:
= 24 × 120
= 2880 flowers
The area of a circle, in terms of pi, is 9 pi metres squared
Find the value of the radius.
Answer:
radius = 3
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here A = 9π , then
πr² = 9π ( divide both sides by π )
r² = 9 ( take the square root of both sides )
r = [tex]\sqrt{9}[/tex] = 3
Answer:
you can read the problems
X+6y=-2
Slope intercept form
Is the question complete??
The slope intercept form of the equation x + 6y - 2 is y = -x/6 + 1/3.
What is the slope intercept form of an equation ?When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.
Here m is slope and c is constant.
The given equation is,
x + 6y = 2,
To find the slope intercept form of the equation,
Solve the equation,
6y = -x + 2
y = -x/6 + 2/6
y = -x/6 + 1/3
The slope intercept form of the equation is y = -x/6 + 1/3.
To know more about Slope intercept form :
https://brainly.com/question/9682526
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a line passes through the points......
Step-by-step explanation:
= -6m+b
2= -2m+b
2= -4m
m= -0.5 = -1/2
4= -6m+b
b= 4+6(-0.5)= 4-3=1
y=mx+b
y= -1/2 x + 1
please help me
The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are ________.
Answer:
180
Step-by-step explanation:
AYO HEAR ME OUTTT...HAVE U EVER HAD A DR6THAT U HAD A DREAM THAT U HAD A DREAM THAT YOU HAD A DREAM THAT YOU HAD A DREAM?
Answer:
Step-by-step explanation:
what did u mean,
i didnt understand