Answer:
its D
Step-by-step explanation:
The equivalent expression is (1/6)³.
What is exponents and powers?When a number is multiplied by itself a finite number of times, the number being multiplied is called the base number, and the number of times it is being multiplied is called the exponent.
Suppose a number is being multiplied by itself n number of times, then this expression is called the nth power of the given number.
An exponent is the number of times a given number is being multiplied by itself and power is the value of the product of the base number raised to an exponent.
Given:
[tex]6^{-3}[/tex]
now, applying exponents
[tex]a^{-m} = 1/ a^{m}[/tex]
Then after applying the above law we have
[tex]6^{-3}[/tex] = (1/6)³
Hence, the equivalent expression of [tex]6^{-3}[/tex] is (1/6)³.
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Is the Answer A, B, C, or D?
Answer:
A. [tex]f(x)=451(0.68)^x[/tex]
Step-by-step explanation:
Function [tex]f(x)=451(0.68)^x[/tex] best models the given data.
What is the LCM of 600 and 1050?
Thanks :)
Answer:
4200
Step-by-step explanation:
The least common multiple (LCM) is the product of the unique factors of the numbers:
600 = 4 × 150
1050 = 7 × 150
LCM(600, 1050) = 4×150×7 = 4200
_____
The above factoring may also help you see that the LCM is also the product divided by the greatest common factor:
LCM(600, 1050) = 600 × 1050 / GCF(600, 1050)
= 600 × 1050 / 150
= 4200
Monica is trying to lower her credit card debt and has been tracking her expenses for the past month. She identified her variable expenses in relation to her fixed expenses. Without altering her variable expenses, how much extra could she possibly put towards her credit cards? A circle graph titled Monthly Income 2800 dollars. Variable expenses is 56 percent, fixed expenses is 36 percent, and net income is 8 percent. A. $1,792 b. $1,568 c. $224 d. $1,008.
Withoutbaltering her variable expenses is $224 extra could she possibly put towards her credit cards.
What is pie chart?The “ pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numericical value.
Given
Monica is trying to lower her credit card debt and has been tracking her expenses for the past month.
She identified her variable expenses in relation to her fixed expenses.
According to the pie chart, 36% and 56% are used for expenses, so there is 8% left over.
Multiply her monthly income by 8%:
2800 x 0.08 = 224
Hence, withoutbaltering her variable expenses is $224 extra could she possibly put towards her credit cards.
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what is y=5(x-4)+5 in slope intercept form
Answer:
y= 5x-20+5
y=5x-15
so slope is 5
intercept is -15
Answer:
y=5x -15
Step-by-step explanation:
y=5(x-4) +5 -> y= 5x -20 +5 -> combine to get y=5x-15
Which equation is represented by the model? x2 – 2x – 3 = (x – 3)(x 1) x2 – 4x 3 = (x – 3)(x – 1) x2 2x 3 = (x 3)(x – 1) x2 4x – 3 = (x 3)(x 1).
The equation which can be represented by the algebraic model are provided in option A and option B as,
[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]
[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]
What is algebraic model?Algebraic model are the expression which consist the variables, coefficients of variables and constants.
The algebraic model are used represent the general problem in the mathematical way to solve them.
Let's check the first option,
[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]
Multiply the brackets to solve it further as,
[tex]x^2 - 2x - 3 = x^2+x-3x-3\\x^2 - 2x - 3 = x^2-2x-3[/tex]
As, the LHS is equal to the RHS. Thus, this is correct option.
Second option is given as,
[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]
Multiply the brackets to solve it further as,
[tex]x^2 - 4x+ 3 = x^2 -x-3x+3\\x^2 - 4x+ 3 = x^2 -4x+3[/tex]
As, the LHS is equal to the RHS. Thus, this is correct option.
Third option is given as,
[tex]x^2 +2x+ 3 = (x +3)(x - 1)[/tex]
Multiply the brackets to solve it further as,
[tex]x^2 +2x+ 3 = x^2 -x+3x - 3 \\x^2 +2x+ 3 = x^2 +2x - 3[/tex]
As, the LHS is not equal to the RHS. Thus, this is not correct option.
Forth option is given as,
[tex]x^2 +4x - 3 = (x+ 3)(x +1)[/tex]
Multiply the brackets to solve it further as,
[tex]x^2 +4x - 3 = x^2+ x+3x +3\\x^2 +4x - 3 = x^2+4x +3[/tex]
As, the LHS is not equal to the RHS. Thus, this is not correct option.
Hence, the equation which can be represented by the algebraic model are provided in option A and option B as,
[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]
[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]
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Answer:
B. x2 – 4x + 3 = (x – 3)(x – 1)
Step-by-step explanation:
im right
Which of the following is NOT a method to solve a quadratic equation?
A.quadratic formula
B.factoring
C.rationalizing the denominator
D.taking square roots
Answer: C. rationalizing the denominator
Rationalizing the denominator is a useful step to simplify expressions where there are square roots in the denominator. It doesn't apply to actually solving a quadratic. On the other hand, the quadratic formula can solve quadratics. The same applies for choices B and D as well.
A veterinarian uses weights in kilograms to figure out what dosages of medicines to prescribe for animals. For every 10 kilograms, there are 22 pounds.
Calculate each animal’s weight in kilograms. Explain or show your reasoning. If you get stuck, consider drawing a double number line or table.
Bella the Chihuahua weighs 512 pounds.
Step-by-step explanation:
[tex]512 \times 10 \div 22 = 232.24[/tex]
Answer:
512x10/22=232.239
Step-by-step explanation:
Bella weight in kilogram is 232.239
Find the 21st term of the AP -
Answer:
above is the solution to the question
9.35 9.323 9.42 9.3 9.305 9.371 least to greatest
Answer:
The rear number is always the one to look at
9.42, 9.371,9.35,9.32,9.305,9.03
Step-by-step explanation:
Answer:
I hope this helps :)
Step-by-step explanation:
9.3 - Least
9.305
9.323
9.35
9.371
9.42 - Greatest
The places without a number still have a zero there, it's just a placeholder so it doesn't change the value at all in this case that is. :)
Which of the following is not an example of a perfect square?
a. 9
b. 200
c. 4
d. 64
The answer is nine .nine is not a perfect square.
Which is a better deal?
40% off of a textbook that costs $89
OR a used copy of the same textbook for $39.99
40% off of a textbook that costs $89
= 89 - 89x40% = 53,40
so better to get the used copy for £39.99
Answer:
probably the $39.99 one it's a bit more cheaper
Simplify will mark brainliest
Answer:
7529536[tex]m^{36}[/tex]
c is inversely proportional to d.
c=0.5 when d=6
Find a formula for c in terms of d.
I think this is the answer!
c=3/d
The formula for c in terms of d is c= 3/d
What is Constant of proportionality?The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional. When y and x are two values that are directly proportional to one another, the proportionality constant k is defined as k=y/x.
Given:
c=0.5 when d=6
We know that c is inversely proportional to d.
c ∝ 1/d
c = k / d
and, k = cd
k = 0.5 x 6
k = 3
Hence, the formula for c in terms of d is c= 3/d
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PQ is a straight line. Work out the value of y.
Answer:
D)44 degrees
Step-by-step explanation:
2y+y+48=180
3y=132
Y=44
The 14 compact cars sold by a dealer on Monday was 56% of the cars sold that day.
step by step please
the 14 cars sold = 56% of total car stock
how many cars (noted n) for 100 % ?
14.............56%
n..............100%
n x 56% = 14 x 100%
n = 14 : 0,56
n = 25
total cars in stock : 25
56% were sold
so 25 x 56% = 14 have been sold
solve both problems pls pls pls/
Answer:
1.) x=61 2.) c=62
Step-by-step explanation:
Answer:
x=61 c=62
Step-by-step explanation:
1)multiply both sides by seven
56=x-5 add 5 to both sides
61=x
2) multiply both sides by -3
63=c+1 subtract one from both sides
c=62
(3x +4y)2 is equal to
Answer: 6x + 8y
Hope this helps!
Answer:
9x² + 24xy + 16y²
Step-by-step explanation:
(3x + 4y)²
= (3x + 4y)(3x + 4y)
each term in the second factor is multiplied by each term in the first factor.
3x(3x + 4y) + 4y(3x + 4y) ← distribute both parenthesis
= 9x² + 12xy + 12xy + 16y² ← collect like terms
= 9x² + 24xy + 16y²
Select all of the possible degrees of this polynomial function
2
3
4
5
Answer:
3 and 5
Step-by-step explanation:
correct on edge 2020
Answer:
3 and 5
Step-by-step explanation:
it is correct on edge, also because the graph goes up and down and not a U shape the possible degrees will only be negative
An article was sold at a price of $360. If the profit made by the shopkeeper is 20%, find the cost price of the article
Answer:
288
step by step explanation:you first have to figure ot what
does 20% means. And this
questions is with subtracting.
So,
20% = 72
And since the question is with
subtracting we use our 360$
from before and we subtract.
360$ - 20% = 288 or
360$ - 72 = 288
I hope that explanation helped
you understand why the answer
is 288.
7 pencils cost £5.95.
How much do 11 pencils cost?
Answer:
11 pencils cost £9.35.
Step-by-step explanation:
Given;
7 pencils = £5.95
1 pencil = 5.95 ÷ 7
= £0.85
Now,
11 pencils = 11 × 0.85
= £9.35
Answer:
9.35$
Step-by-step explanation:
to find the cost of 11 pencils first we need to find the price of 1.
5.95 divided by 7 = 0.85$ (the price of one pencil)
we need to find the price of 11 pencils though.
0.85x11= 9.35$
3 bags of food cost 17.25$. How much would marco spend on 6 of cat food?
Answer:
$34.5
Step-by-step explanation:
3 x2=6
17.25x2=34.5
Answer: $34.50
Step-by-step explanation:
Since 3 bags cost 17.50, 6 bags would just be 2 times that.
numeros divisibles para 380
Answer: 760, 1140, 1520, 1900, ...
Step-by-step explanation: Multiplica 380 por cualquier número y cualquier número que obtengas es divisible por él.
Write an equation of the parabola in vertex form that passes through (13,8) and has vertex (3,2).
Answer:
[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]
Step-by-step explanation:
Vertex: (3,2)
Point: (13,8)
The equation form is [tex]y=a(x-h)^2+k[/tex]
h = 3
k = 2
y = 8
x = 13
Plug in the values into the form..
[tex]8=a(13-3)^{2} +2[/tex]
Simplify and solve for a..
[tex]8=a(10)^{2}+2[/tex]
[tex]8=100a+2[/tex]
[tex]100a=8-2[/tex]
[tex]100a=6[/tex]
[tex]a=\frac{6}{100} or \frac{3}{50}[/tex]
Plug a into the equation..
[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]
Hope this helped you!
Can anyone help me with the math question?
Answer:
because the power of the polynomial (T) is 0.5 where the polynomial considered when it must have power as 1,2 or many more.
Answer:
Its not a polynomial because polynomials don's have their exponents in fraction or decimal form
If represented in a stem-and-leaf plot, what would be the leaf of the number 392?
3
92
39
2
Thank you for those who answer!
Answer:
there are a lot of numbers that begin 39 so your answer is 2...
Step-by-step explanation:
mr clean, mr cleans dog soonTM
Kyle uses his calculator to find 1 3 and gets .3333333. Why is the digit 3 shown seven times on the display?A) The answer is exact.B) The calculator rounded the answer.C) Kyle hit the wrong calculator key.D) The calculator truncated the answer.
Answer:
A) The answer is exact
Step-by-step explanation:
Well i dont know how to explain but it's just going to infinity.
If the perimeter of the formation is 38.5 feet, how long is each flag?
Answer:
The length of each flag is 5.5 ft
Step-by-step explanation:
Correct me if Im wrong but im most def right :)
A group of 83 students are visiting the National Aquarium in Baltimore. Volunteers lead tours for groups no larger than 5 students at a time. How many tour guides are needed so all 83 students are able to participate in a guided tour of the aquarium
Answer:
17 tour guides
Step-by-step explanation:
First, we need to divide 83 by 5.
83 ÷ 5 = 16 R 3As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.
Answer:
They need 17 tour guides
Step-by-step explanation:
If we divide 83 by 5, we would get 16.6, and since we can't have 16.6 tour guides, we round to the nearest whole number, which is 17.
To order for all students to participate, they would need 17 tour guides.
HELP ME PLEASE!!!!! WILL GET THE BRAINLIEST IF ANSWER FIRST AND GET IT RIGHT!! Figure the table below.
Answer:
26
7.4
7 1/2
19.4
Step-by-step explanation:
Multiply each number by 3, then add 5
If f(x)=x^2+3 and g(x)=2x-5 find (f-g) (x)
Answer:
[tex](f - g)(x) = x^2-2x-2[/tex]
Step-by-step explanation:
We have the following two functions:
[tex]f(x)=x^2 +3g(x) = 2x-5[/tex]
In order to solve for [tex](f - g)(x)[/tex] we look at the two functions and realize that:
[tex](f - g)(x) = f(x) - g(x) = x^2+3-2x-5=x^2-2x-2[/tex]
Therefore:
[tex](f - g)(x) = x^2-2x-2[/tex]