[tex]16r^2s^2[/tex] as the product of power is written as [tex](4rs)^2[/tex]
How would you characterize a product's strength?The power of a product rule states that [tex](a^m)(a^n) = a^(m+n)[/tex], where "a" is the base, "m" is the exponent of the first term, and "n" is the exponent of the second term. This rule allows us to simplify expressions where multiple variables are being raised to a power and multiplied together by adding the exponents.
For example, [tex](a^2)(a^3) = a^(2+3) = a^5[/tex].
It is also important to remember that when we are using the power of a product rule, the bases must be the same. If we have different bases, we cannot use this rule.
For example, [tex](a^2)(b^3) = a^2 * b^3, not a^(2+3) = a^5[/tex].
Rewritten as power of product:
[tex]16r^2 s^2= 4*4*r*r*s*s\\16r^2s^2= 4^2*r^2*s^2\\16r^2s^2=(4rs)^2[/tex]
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What should be the value of a if the value of 2x^2 XA equals to 5 when?
The value of a is -5. All phrases that involve x become zero when we set their value to zero, leaving only constant terms.
The given equation is 2x^2 + x -a = 5.
let's try to understand what is an equation.
An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For example,
The two equations 4x + 56 and 14 are joined by the equal sign to get the equation 4x + 56 = 14. Algebraic equations in mathematics frequently have one or more variables.
There are many different kinds of equations, including cubic, quadratic, and linear equations.
There are many distinct sorts of equations, depending on the degree of the equation.
2x^2 + x -a = 5. put x = 0.
2*0 + 0 - a = 5
0 + 0 -a = 5
-a =5
a = -5.
So the value of a is -5.
Given Question is incomplete complete question here:
What should be the value of a if the value of 2x^2+x - a equals to 5
when x = 0?
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What is the sign of the rational number you wrote in part A for Quiana's loan? What does the sign represent?
The question is incomplete. The complete question is :
Quiana’s initial loan amount is -$15,234.68. This is the total amount of money she must pay back to the lender. Part B What is the sign of the rational number you wrote in part A for Quiana’s loan? What does the sign represent?
Solution :
The sign is a negative sign and it represents the money which is debt.
In the question, it is given that Quiana had taken a loan of -$ 15,234.68
This amount of money will be returned to the lender from Quiana which is the debt of Quiana.
The negative sign(-) was inserted before the money that Quiana had borrowed. It represents the money of debt that Quiana owes and this amount is to be returned to the lender by Quiana.
Answer:
Step-by-step explanation:
The sign of the number is negative (-$15,234.68). The negative sign indicates that the loan is a debt. Money will be leaving Quiana’s bank account as she repays the loan.
Eric added up on a number line to find 4 over 5 minus 5 over 10
Answer: 4/5 minus 5/10 can be simplified as:
(4/5) - (5/10)
It can also be re-written as
(4/5) - (1/2)
To subtract these fractions, we need a common denominator, which is 10 in this case.
So it becomes
(4/5)(2/2) - (1/2)(5/5) = 8/10 - 5/10 = 3/10
So the result of 4/5 minus 5/10 is 3/10 on a number line.
Step-by-step explanation:
John's free throw shooting percentage is 87%. If John shoots 12 free throws in the course of a game, what is the probability he makes exactly 10?
Answer:
0.2771
Step-by-step explanation:
This is a binomial probability question. "Makes" is what some writers call a "success." In the binomial probability distribution, the probability of r successes in n trials is
[tex]\binom{n}{r}p^r(1-p)^{n-r}[/tex]
p is the probability of "success." [tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]
In this problem, n = 12, r = 10, p = 0.87 (the 87%).
The probability of exactly 10 made shots out of 12 attempted is
[tex]\binom{12}{10}(0.87)^10(1-0.87)^2 =66(0.87^10)(0.13)^2 \approx 0.2771[/tex]
What is the distance between the following points
Answer:
The answer is the last option
Square root 8
Step-by-step explanation:
Which relationships describe the angle pair x° and 157º? Select each correct answer. Complementary angles vertical angles supplementary angles adjacent angles Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, the sum of any two angles on a straight line equals 180°.
what is angle ?Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. Two rays (half-lines) combined into an angle have a single terminal. The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms. The vertex of an angle is the point at which all points meet .
given
If two angles' sums are same, they are said to be supplementary.
If two angles' sums are same, they are said to be complimentary.
Each set of opposite angles generated by crossing lines are referred to as vertical angles. The term "adjacent angles" refers to two angles that share a common vertex and side but do not overlap.
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, and they are supplementary angles because the sum of any two angles on a straight line equals 180°.
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25PTS don’t explain
Answer:
y = 2x+ 3
Step-by-step explanation:
Which expression is equivalent to (3/4n + 8n + 1/4n - 12)
Answer:
2n - 8 is your answer
Step-by-step explanation:
Dulce the dog loves to go on walks.
Each morning she walks for 45 minutes.
She also goes for a 20 minute walk at
lunch, and an evening stroll for 1 hour
and 30 minutes. How long does she
walk each day?
HURRY!!
The digits of a two-digit number differ by 3. If digits are interchanged
and the resulting number is added to the original number, we get 121.
Find the original number
Answer:
47
Step-by-step explanation:
4 and 7 have a difference of 3. And if the digits are interchanged, the number is 74
47 + 74 = 121 so 47 is the original number.
I f a salesman get salary 1000 per month for selling 100 onion daily .. then what is the price of 1 onion
Answer:
3$
Step-by-step explanation:
∴In 1 day, he sells 100 onions
∴In 30 days, he sells (100×30) onions
=3000 onions
Again,
∴Selling 3000 onions, he gets 1000$
∴Selling 1 onion, he gets (3000÷1000)$
=3$
Hope this helps<3
and pls mark me as brainliest ❤️
Help me with this ASAP plz!!
Answer:
Rate of change = 2 & Initial value = -1
show all your working please
Answer:
45 cm²
Step-by-step explanation:
area = ½×11×13×sin 39°
= 71.5 × 0.6294
= 45 cm²
Find the equation of a line that passes through the points (1,2) and (5,6). Leave your answer in the form y=mx+c
Answer:
y=x+1
Step-by-step explanation:
first find the slope using the two coordinates:
use the slope formula- m=y^2-y^1/x^2-x^1
6-2/5-1
=4/4
=1
y=mx+b
now plug in one of the coordinates, and the slope we just found into the slope intercept formula
2=1(1)+b
2=1+b
subtract 1 from both sides
1=b
1=b; m=1,
y=x+1
in △JKL, if m∠J = 90° then∠K and∠L are
A) Acute
B) Obtuse
C) Congruent
D) Vertical
Answer:
acute
Step-by-step explanation:
since a full triangle is 180, angles K and L must be 90 when put TOGETHER so each one would have to be less than 90 :)
Answer:
Acute
Step-by-step explanation:
Since a triangle adds up to 180 subtract 90. this leaves you with 90 and since there are two angles it has to be less than 90 which is an acute angle
Hope this helps!
How many dollars will Ms. Davis have saved after 30 weeks?
Ms. Davis has $54. 50 saved
• She will save $33. 25 each week for the next 30 weeks
• She will not spend any of the money
Enter your response here:
$1052 is the total saving og Ms. Davis after 30 weeks from the given point .
Given that:
Inital saving of Ms. Davis = $54.50
Ms. Davis has already saved $54.50 and plans to save an additional $33.25 each week for the next 30 weeks. This means that she will be adding a total of $33.25 x 30 = $997.50 to her savings over the next 30 weeks.
If she does not spend any of the money she has saved, her total savings will be :
sum of Initial saving and saving after 30 weeks
$54.50 + $997.50 = $1,052.00.
so the total saving is $1052.
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Find the radius of a circle with an area of 167 π square
Answer:
r≈7.29
Step-by-step explanation:
Using the formula
A=πr^2
Solving for r
r=√A /π=√167/ π≈7.29094
!PLEASE HELP ASAP!
These two figures are similar. Find the length of side x.
the length of side x = 12.5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, we have,
From the given figure, we get.
These two figures are similar.
so, we have,
8/x=y/5 ............(1)
10/15=4/z ......(2)
8/15=y/z .....(3)
Solving we get,
x=12.5
Hence, the length of side x = 12.5.
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What does x = ? Please help meee
Answer:
x= 95 duhhhhhhh lol jk but its 95
Step-by-step explanation:
Answer:
x = 95° by the Vertical Angles are congruent theorem
Hope this helps!
The number $m$ is a three-digit positive integer and is the product of the three distinct prime factors $x$, $y$ and $10x y$, where $x$ and $y$ are each less than 10. What is the largest possible value of $m$
largest possible value of $m$ is x=5, y =3, 10*5+3=53: 3 x 5 x 53 =795
What is prime factors ?A prime factor is a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on.The simplest algorithm to find the prime factors of a number is to keep on dividing the original number by prime factors until we get the remainder equal to 1. For example, prime factorizing the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1. Since we received the remainder, it cannot be further factorizedPrime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. A prime number is a number which has only two factors, i.e. 1 and the number itself.For example, 2 is a prime number which has two factors, 2 × 1. Whereas a composite number has more than two factors present in it. For example, 4 has three factors such as 1 × 2 ×To learn more about prime factors refers to:
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Jordan made this design from three pieces of square-shaped cloth. What is the total area of the design jordan made? 4cm 6cm 8cm Explain how you found your answer
The design has a total area of 116 cm² when measured using the area of a square.
What is the area?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Create a square on paper by using a pencil.
Two dimensions make it up.
A shape's area on paper is the space it takes up.
Given that a square has equal sides, we can calculate its area as follows:
A = s²
The photograph below illustrates the three square-shaped pieces of fabric that Jordan used to create the design.
Find the area of each square-shaped piece of fabric and add them all up to get the total pattern area.
Inferring the area of a square, the total area would be as follows:
Total Area = 4² + 6² + 8²
Total Area = 116 cm²
Therefore, the design has a total area of 116 cm² when measured using the area of a square.
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Find the area of the shaded sector of the circle.
Answer:
16.74
Step-by-step explanation:
Solve the system by substitution.
y = 3x – 2
y = 4x
Answer:
x = -2
y = -8
Step-by-step explanation:
y = 3x – 2
y = 4x
Substituting the second equation for y into the first
4x = 3x - 2
Subtract 3x from both sides
x = -2
plug in x = -2 into the second equation
y = 4(-2)
y = -8
Can u please help............
Answer:
PF = 9
Step-by-step explanation:
the incentre of a triangle is equally distant from the triangle's 3 sides, that is
PD = PE = PF
using PD = PE to solve for x
5x - 6 = 3x ( subtract 3x from both sides )
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
then
PE = 3x = 3 × 3 = 9
PF = PE = 9
A bookstore owner has 15 different books to arrange on the shelves in a display case. Each shelf can display 3 books.In how many different ways can the owner arrange 3 books on the top shelf of the display case
There are 15 different books and 3 each can be arranged on a shelf i.e., there are 15/3 i.e., 5 shelves to arrange the book in the the display case.
How many different ways can you arrange3 books on a shelf?different bundles of novels, and we have to put this bundle and other 3 books onto the shelf. So the total number of ways is 3! × (3 + 1)! = 144.How many ways can you arrange 3 books on a shelf from a group of 7?= 5040 arrangements. Three books that we want together have 3!Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! = 3*2*1 = 6 ways.A trilogy is a set of three distinct works that are connected and can be seen either as a single work or as three individual works. They are commonly found in literature, film, and video games.When using three shelves, place the middle shelf higher or lower than the one on either side. Five shelves can be staggered with two or three higher than the others, alternating every other shelf for a horizontal groupingTo learn more about arrange3 books on a shelf refers to:
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Help a brother out with this one please.
Answer:
Volume:3000 Surface Area:1300
Step-by-step explanation:
To find the volume of a rectangular prism you times the length times the width and times the height which will give 3000. For the surface area it is 2(w(l)+h(l)+h(w)) which will equal to 1300. The length is 15, the width is 20, and the height is 10. Hope this helps!
DONT SKIP URGENT , WILL GIVE BRAINLIEST
Question 2 of 5
What is the distance between points Cand D?
5
C(2, 1)
D (4.1)
-1
4 5
2
-
A. 5 units
B. 6 units
O C. 2 units
O D. 4 units
SUBMIT
Answer:
The distance between C and D is 6 units
Answer:
6
Step-by-step explanation:
Since this is a straight line, you literally count the boxes in between or you could just add up the x values but make the -2 positive because we’re counting distance, not something else.
HELP!!! Find the value of..
Answer:
The answer to your question is C, 15
Step-by-step explanation:
Answer is 15, C
Please help with question 7! BRAINLIEST to correct answer!
Answer:
x = 228
Step-by-step explanation:
pretty simple
Answer:
i'm pretty sure its C-228
What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
To maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Ultimately, the greatest possible quotient as required is; 25.
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