While dealing with laws of exponents, exponents should be subtracted when splitting exponential formulas with the same base.
Use the Quotient of Powers Rule to reduce the number of terms when splitting like terms with exponents. According to this rule, to determine the solution while dividing terms with the same base, simply remove their exponents. The trick is to only take out exponents with matching bases.
Exponents are added when two powers of the same base are multiplied. Therefore, the exponents are subtracted when two powers of the same base are divided. To put it another way, abac=ab + c is true for all real numbers a, b, and c.
It is so established that any integer or phrase raised to the power of zero always equals 1. To put it another way, the outcome is 1 if the exponent is 0. A 0 = 1 and (a/b) 0 = 1 create the general version of the zero exponent rule.
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Use what you know to try to solve the problem below. A scientist is using a tracking device to measure how fast a blue whale swims. Data from the device show that the whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Make a graph showing the change in the whales distance over time. How far does the blue whale swim in 1 minute? this 25 mi: 5
The graph showing the change in the whales distance over time is given by y = 0.5x
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept.
Let y represent the total distance covered for x minutes.
Let the constant rate be m miles per minute. The whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Hence:
2.5 = 5(m)
m = 0.5 miles per minute
y = 0.5x
In 1 minute:
y = 0.5(1) = 0.5 miles
The graph is given by y = 0.5x
The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.
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what is the volume and with of a cube
3xX
Step-by-step explanation:
solve for n. n/-5= 7
Answer:
n = -35
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
n/-5 = 7
Step 2: Solve for n
Multiply both sides by -5: n = -35Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: -35/-5 = 7Divide: 7 = 7Here we see that 7 does indeed equal 7.
∴ n = -35 is a solution to the equation.
In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. What is the length of line segment DB? 20 units 24 units 48 units 68 units
Answer:
48 units
Step-by-step explanation:
A parallelogram is a polygon with four sides. Opposite sides and opposite angles of a parallelogram are congruent.
The diagonals of a parallelogram bisect each other.
In parallelogram ABCD, AC and DB are the diagonals. Since the diagonals meet at E, hence:
AE = CE and DE = BE (diagonals of a parallelogram bisect each other).
Since AE = CE, hence:
t + 2 = 3t - 14
3t - t = 2 + 14
2t = 16
t = 8 units
Therefore DE = 2t + 8 = 2(8) + 8 = 24 units
DE = BE = 24 units
But DB = DE + BE
DB = 24 + 24
DB = 48 units
Answer:
The answer is 48 units
Step-by-step explanation:
if a = 6, evaluate the following expression: 36/3a
Answer:
2
Step-by-step explanation:
1) substitute a=6 into 36/3a:
36/3×6
2) calculate: 36/3×6 ->2
Graph the line that passes through the points (-2, -3) and (-4, 2) and determine
the equation of the line.
HELP ASAP
Answer:
y=-2.5x+1/2
Step-by-step explanation:
Mr. majors ordered six hot dogs and a bucket of popcorn at the concession stand. if the popcorn was $3.20 and the total was $18.20, what was the price of one hot dog?
Answer:
The price of one hotdog is $2.50
Step-by-step explanation:
You can first write this out as an equation to make it easier to solve.
Lets say that x= the price of a hot dog and y= the price of popcorn
The equation would be:
6x + y = 18.20
We know that y= 3.20 so we can subtract 3.20 from 18.20. That will leave us with 6x = 15
Then, we just have to divide both sides by 6 and our answer comes out as x = 2.50
Answer:
2.50
Step-by-step explanation:
18.20 - 3.20 = 15.00
15.00 ÷ 6(hotdogs) = 2.5
Add a 0 at the end: 2.50
So the cost of one hotdog is $2.50
( why does that hot dog cost that much ;-; )
A computer salesman makes $10 per hour and 0.5% commission on what he sales. If he works for 40 hours this week, and he sales $4,500 of computers, how much will he make total?
Answer:
Total income earn = $422.5
Step-by-step explanation:
Given:
Earning per hour work = $10
Total hour = 40
Commission = 0.5% on sales
Total sales = $4,500
Find:
Total income earn
Computation:
Income from hour work = $10 x 40
Income from hour work = $400
Total commission = 0.5% x sales
Total commission = 0.5% x $4,500
Total commission = $22.5
Total income earn = $400 + $22.5
Total income earn = $422.5
a2+14a+49 please help me
1. Which of the following linear equations has a negative slope? Circle all that apply. A. y = 2x – 5 B. y = 4– 7x C. y=-3 D. X = -1 E. y=-5/4x+2 F. y=1/2x-2
Answer:
C) y= -3, D) x= -1, E y= -5/4x +2
Step-by-step explanation:
Write an equation of the line that passes through the given point and is perpendicular to the given line.
(–6, –4); y =1/3x + 1
Can anyone help with thisss
yall got any game ideas? i aint got tha energy to be doin school work, tell em to me :)
Answer:
Games to make? or play? If play then I suggest age of empires 2 DE, the games insane
Step-by-step explanation:
A store marks up merchandise 27%. The original price of an item is $725. What will be the retail price?
Answer:
$168
Step-by-step explanation:
cause the store marks up the price by 115%
The original price of the item was $725
Store increases the margin by 27%
Let us assume the retail price to be x
To get the retail price we need to add the margin added by the store to the original price which is $725 in this case.
So,
x= 725 × 127/100
x= 92075/100
x= 920.75
Another method-
Let retail price be x
Since the original price of the item is $725
The store increases the price by 27%
Add 27% of $725 to the original price to get the retail price
725 × 27/100
= $195.75
Add 195.75 to the original price to get the retail price
x= 195.75+ 725
x= 920.75
The Retail price which will be charged by the store on the merchandise will be $920.75
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one important point to remember is that just because a difference between two treatment groups is found to be statistically significant, it does not mean that the difference:
Researchers use a finding's Effect size to measure magnitude and reliability.
a difference in significance does not always make a significant difference.
One reason is the arbitrary nature of the p<0.05 cutoff. We could get two very similar results, with p=0.04 and p=0.06, and mistakenly say they’re clearly different from each other simply because they fall on opposite sides of the cutoff.
The second reason is that p values are not measures of effect size, so similar p values do not always mean similar effects. Two results with identical statistical significance can nonetheless contradict each other.
Effect size refers to the measure of the magnitude of the experiment's effect. In other words, effect size measures how important is the relationship between two variables. The larger the effect size, the stronger this relationship is. Moreover, when the effect size is large, you are more likely to be dealing with a relationship that has practical significance.
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Students in school - how do we pay taxes? Get a job? Raise children?
Schools- solve for x
Plz help me With number 8 don’t get it thx
If Elena eats 2 servings of granola , how many calories dose she eat?
Answer:
However much calories 1 granola has it would be times 2
Step-by-step explanation:
Answer: 264 calories.
Step-by-step explanation:
Each serving has 132 calories.
To estimate your average monthly salary,divide your yearly salary by the number of months in year. Write and solve an equation to determine your yearly salary
when your average monthly salary is $4560.
I need this question answer asap!
Answer:
Solved: To estimate your average monthly salary, divide your yearly salary by the number of months in a year. Write an equation to determine your yearly salary when your average monthly salary is $4560. - Slader.
A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. Which number could represent the number of packages of flour tortillas the clerk put on the shelf?
Answer: 18
Step-by-step explanation:
The options are:
A. 23
B. 18
C. 14
D. 32
Since we are told that the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. This simply means that the ratio of flour tortillas to the total number of packages on the shelf was (16 -7 = 9) 9 to 16.
Therefore, to get the number that could represent the number of packages of flour tortillas the clerk put on the shelf we have to find the multiple of 9 in the question given . This will be:
Multiples of 9 = 9, 18, 27, 36, 45 ....
Based on the option, the answer will be 18.
-x + 2 y = -12
7x + 8y = -26
X=
Y=
Answer:
(2,-5)
Step-by-step explanation:
using a graphing calculator and inputting these two equations, you end with the coordinates (2,-5).
Answer:
2,-5
Step-by-step explanation:
What number can you add to 7 to get a sum of zero
Translate (3,-5) down 2 units.
Then reflect the result over the x-axis.
What are the coordinates of the final point?
Describe each part of the complex number:
-5-i
Answer:
Real Part = -5
Imaginary part = -1
Step-by-step explanation:
We need to describe each part of the complex number: [tex]-5-i[/tex]
Complex Number
A complex number is of form [tex]a+bi[/tex] where a is real part while b represents the imaginary unit.
In the given complex number: [tex]-5-i[/tex]
Real Part = -5
Imaginary part = -1
8. Complete the statement using <, >, or =.
a. 21-51
b. -5__ _|−9|
|5|_________|-5|
d. |−1|___________|—8|
C.
We can complete the given statements as follows-
a. 21 < 51
b. -5< |-9|
c. |5| = |-5|
d. |−1|< |-8|
Let us look at each statement one by one-
a. 21_51
here, we can clearly see that 21 is smaller than 51, so we use the < sign.
Thus, 21 < 51
b. -5_|-9|
here, on the right hand side we have a modulus sign. The modulus sign implies that we take only the absolute value.
|−9| = 9
Now, if we compare -5 and 9, 9 is clearly greater.
Hence, -5< |-9|
c. |5|__|-5|
here, |5| = 5
and |-5| = 5
Thus, |5| = |-5|
d. |−1|__|-8|
Here, |−1| = 1
and |—8| = 8
And 1 < 8,
thus, |−1|< |-8|
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what is the linear equation of a line that goes through (3,5) and (5,9)
Answer:
[tex]y=2x-1\\[/tex]
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1}}{x_1-x_2} \\m=\frac{9-5}{5-3}\\m=\frac{4}{2}\\m=2\\y-y_{1}=m(x-x_{1})\\y-9=2(x-5)\\y-9=2x-10\\y=2x-1[/tex]
3. The diagonal of a rectangular field is 169 m. If the ratio of the length to the width is 12:5, find the:
(a) dimensions;
(b) perimeter of the field.
The dimensions are 156m and 65m
The perimeter is 442m.
What are the dimensions?The formulae that can be used to determine the dimensions when the ratio of the dimensions are given and the diagonal is given are:
h = [tex]\frac{H}{\sqrt{ 1 + r^{2} } }[/tex]
w = [tex]\frac{Hh}{\sqrt{ 1 + r^{2} } }[/tex]
Where:
h = height H = hypotenuse r = ratio of width to the height : 5/12 = 0.41667w = widthh = [tex]\frac{169}{\sqrt{ 1 + 0.41667^{2} } }[/tex] = 156m
w = [tex]\frac{(169 x 156)}{\sqrt{ 1 + 0.41667^{2} } }[/tex] = 65m
The perimeter of a rectangle = 2(length + width)
2(156 + 65)
2(221) = 442m
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Explain the similarities between a scientific law and a scientific theory.
Answer:a scientific law is the description of an observed phenomenon. It doesn't explain why the phenomenon exists or what causes it. The explanation of a phenomenon is called a scientific theory. It is a misconception that theories turn into laws with enough research.
Step-by-step explanation:
The longest leg of a right triangle is 12 inches. The hypotenuse is 3 inches longer then twice the shortest leg. How long is the shortest leg and the hypotenuse of the triangle.
Answer:
Shortest Leg: 5 inches, Hypotenuse: 13 inches
Step-by-step explanation:
A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.
55% of the cookies Joelle bake had chocolate chips is the wild baked 77 cookies with chocolate chip cookies baking cakes
1. 6x+4x−1=2(5x+4)
2. 48x+43=47x+43
3. 2(3x+8)=2x+16+4x
4. 0.4(5x−15)=2.5(x+3)
5. 3(4x+2)=20x−9x+2
Answer:
1 . -9 = 0
2 . x = 0
3 . 0 = 0
4 .x = -27
5 . x = -4
Step-by-step explanation: