Answer:
The laws of exponents are:
a) (x^n)*(x^m) = x^(n + m)
b) (x^n)/(x^m) = x^(n - m)
c) (x^n)^m = x^(n*m)
Now, let's see the given equations:
1) (x-²)-³ = x⁶ (true)
Here we se the third law, the "c"
(x^(-2))^(-3) = x^(-2*-3) = x^6
Then this equation is correct.
2) (a^m)^n = a^m^n (false)
This law does not exist, this is false.
An example of why this is false is:
Let's use the values:
a = 2, m = 1, and n = 2
then, in the left side we have:
(2^1)^2 = (2)^2 = 4
And in the right side we have:
2^(1^2) = 2^(1) = 2
We can see that we have different things in the left side than in the right side, then that relation is false.
3) a⁰ = 0 (false)
Let's rewrite this as:
a^0 = a^(n - n)
Now we can use the second law to rewrite this as:
a^(n - n) = (a^n)/(a^n)
And we have a number divided by the exact same number, we know that this is equal to 1, then:
(a^n)/(a^n) = 1
this means that:
a^0 = 1.
Then this is also false.
The only correct option is the first one.
A hospital employs a total of 77 nurses and doctors. The ration if nurses to doctors is 9:2. How many nurses are employed at the hospital? How many doctors are employed at the hospital?
Answer: 63 nurses and 14 doctors
so you know the ratio is 9:2. that means for every 9 nurses there are 2 doctors. i didn't make an equation but i counted it.
if theres 9 (9*1) nurses theres 2 (2*1) doctors
if theres 18 (9*2) nurses theres 4 (2*2) doctors
if theres 27 (9*3) nurses theres 6 (2*3) doctors
you get the point so i multiplied 7 to 9 and 7 to 2, which means:
if theres 63 (9*7) nurses theres 14 (2*7) doctors
i hope this helps :)
If purchased before the game, tickets to a high school baseball game cost $1.00. If purchased at the gate, the tickets cost $1.50. For a particular game, 500 tickets were sold and the total receipts were $587.50. How many tickets were purchased before the game and how many tickets were purchased at the gate?
Answer:
10
Step-by-step explanation:
Answer:
235
Step-by-step explanation:
BRAINLEST ANSWER!!
Find the coordinates of midpoint E.
(Enter answer in simplified form.)
Answer: -2a,-2b
Step-by-step explanation:
Find a solution for
-2/9 = 4/m
I think its -18
Step-by-step explanation:
-2/9 = 4 /m
-2 ×-2 = 4
so you would do the same to the bottom
9 ×-2 = -18
sorry if I'm wrong
4 - y over 5 = 2 - 2y over 8
I’m just really tired lol (and lazy)
Answer:
40 if i did the equation right and ignore this wiehdnsjw
Answer:
egg egg egg egg egg
Step-by-step explanation:
1+1=1972-1=egg
Can I get some help plz thank u sm
Answer:
x = 72
hope it helps
A birdwatcher recorded how many birds were in two different parks each day for four days. The data is shown in the table.
Day
1 | 2 | 3 | 4
Park A 10 12 14 16
Park B 2 4816
Move options to the blanks to compare how the bird population is growing at each park.
Each day, the number of birds in Park A grows by
Each day, the number of birds In Park B grows by
If this pattern continues after day 4. Park
will always have more birds.
an increasing amount
a decreasing amount
the same amount
А
B
Answer:
Step-by-step explanation:
what’s the answer?
Excuse me but can someone help me with this I have to do it before tomorrow
Answer:
8) Onaje is correct
9a) answers could be: 3(6y) or 4y + 6y + 8y or 2(2y + 3y + 4y)
b) all answers simplify to be 18y
Step-by-step explanation:
Paula is not correct because 16t + 9t ≠ 16 + 9 + 2t
16t + 9t only equals 25t
Answer:
8. Onaje's expression is correct.
Step-by-step explanation:
The price, t, of the medium T-shirts can be represented as 16t, or 16 × t.
The price, t, of the large T-shirts can be represented as 9t, or 9 × t.
16t + 9t = (16 + 9) × t = 25t
Answer:
9. Part a: The expression could be 9y - 3y + 12y.
9. Part b: 9y - 3y = 6y
6y + 12y = 18y
The means of a proportion are 4 and 17. List all possible pairs of positive integers that could be the extremes of the proportion.
Step-by-step explanation:
Equating two statements is called proportion. By property of the proportion, the cross product of the mean is equal to cross product of the extreme. Also we can denote as ratio of extreme and mean.
A×B=B×C
if a tables f(x) is being divided by 3, what is the common ratio
Which statements are true?
Select each correct answer.
Since −6 is 6 units to the left of 0, |−6|=6 .
The absolute value of −6 is negative.
The absolute value of −6 is less than the absolute value of 6.
−6 is closer to zero on the number line than −7 , so |−6|<|−7| .
Answer:
The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)
Step-by-step explanation:
Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).
C is clicked but I'm not sure if that is the answer I just clicked one. I need the answer to both.
Answer:
I believe that B is the correct answer!
Step-by-step explanation:
The (x+5) can cancel
Then in the numerator (x^2-25) can be factored into (x-5)(x+5) through difference of squares.
Then in the denominator the (x-5)^2 can be stretched out to (x-5)(x-5)
Lastly the (x-5) on the top and bottom will cancel resulting in result B
I hope this helped!
Answer:
B(lol the one you chose randomly was right)
5, sorry I dunno the second number...
Step-by-step explanation:
(x+5)(x+5)(x-5)/ (x+5)^2(x-5)^2
(x+5)^2 gets canceled out
(x-5)/(x-5)^2
1/x-5
find the value of sin 0 in each of the following figures.
Answer:
[tex]\displaystyle \sin\theta=\frac{4}{5}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, we identify an adjacent leg and an opposite leg. The trigonometric ratios are defined upon those sides.
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Let's focus on the angle θ. Its opposite leg is 8 cm and the hypotenuse is 10 cm, thus:
[tex]\displaystyle \sin\theta=\frac{8}{10}[/tex]
Simplifying:
[tex]\boxed{\displaystyle \sin\theta=\frac{4}{5}}[/tex]
Given ABCD what is the value of y?
Answer:
x=7
y=5
Step-by-step explanation:
quadrilaterals have 360 degrees, and their opposite angles are equal
15x+5=16x-2
7=x
(plug back in to find angle)
15(7)+5=110
that angle, plus opposite angle, equals 110.
360-220=140
140/2=70
now we know the value of other unsolved angle
70=12y+10
60=12y
5=y
Last Tuesday was silly hat day at Wesley's school. 33 students wore a silly hat and 517 students did not. What percentage of the students wore a silly hat?
Answer: 6%
Step-by-step explanation:
Number of students that wore a silly hat = 33
Number of students that students that did not = 517
Total number of students = 33 + 517 = 550
The percentage of the students that wore a silly hat
= 33/550 × 100
= 6%
[tex]y - 2x = 7[/tex]
how do i solve this?
PLEASE HELP ME I'M BEHIND ON MY MATH AND I CAN'T FIND ANY ANSWERS!!! :(
Two banks offer to loan you money for a big purchase. How would you use your knowledge of simple interest to determine which loan to choose for this purchase?
(20 points)
(Written Response)
( E d g e n u i t y 2021)
(Mathematics 7 A)
(Journal Activity JAN 05.)
** Please answer to this if you did it already did this assignment already..! I'm behind on my math and I can't find any thing to help me out! **
Answer:
you would see which bank has a good business and have loyal customers and which one is giving you a better offer
Step-by-step explanation:
HOPE THIS HELPED!
Answer:
e.
Step-by-step explanation:
Simplify the following:
A) 4^9 x 4^3
B) 6^5x 6^2
C) 8^6 divide by 8
d) 7^8 divide by 7^6
Answer:
A. 4^12
B.6^7
C.8^7
D.7^2
Please help me if you can
Answer:
7. [tex]r^{19}[/tex]
Step-by-step explanation:
r^11 x r^8 =
r^11 + 8=
2^19
plzzzzzzzzzzzzzzzzzzzzzzz
Answer:
18x to the power of 2 -15x+2
Step-by-step explanation:
Catherine buys 2.12 pounds of tomatoes, 1.45pounds of chicken and 3.19 20 points
pounds of onions from a supermarket. Find the total weight of the
groceries she bought.
Answer:
The answer is 6.762 pounds.
Step-by-step explanation:
2.12 + 1.45 + 3.19 20 = 6.762.
LAST ONE I-I-I PROMISE >
Answer:
Step-by-step explanation:
Putting value of z = 3
6(3)2+ 2(3) + 10
6(9) + 6 + 10
54 + 16
70
Nick has a bag of marbles. Without looking in the bag, he
selects a marble, records its color, and puts it back in the
bag. All marbles are equally likely to be chosen. He
performs 100 trials.
Number of times a white marble was chosen
48
Number of times a red marble was chosen
13
Number of times a green marble was chosen 27
Number of times a blue marble was chosen
Based on the data Nick collected, what is the estimated probability, in
simplest form, of choosing a white marble from the bag? please help me
Answer:
Step-by-step explanation:
Ok wait. Try add
Answer:
12/25
Step-by-step explanation:
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!
A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units
Answer:
A
Step-by-step explanation:
Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values
[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )
20(15 + x) = 420 ( divide both sides by 20 )
15 + x = 21 ( subtract 15 from both sides )
x = 6
What is the constant of proportionality in the equation 3y = 2x
Answer:k = 2/3
Step-by-step explanation:
When a variable y directly relates to another variable x, we can say:
y=kx
Given the equation, we can say
3y=2x
y= 2x/3
Putting the value of y from above discussion
kx = 2x/3
x is being cancelled on both sides of equation
k= 2/3
Answer:
k = 2/3
Step-by-step explanation:
i don’t know how to explain sorry I’m not good at explaining but I hope this helps
Write an algebraic expression for each verbal description:
The number of people who do NOT have brown hair
b= number of people WITH brown hair
What is the slope of the line?
If Jared wanted to buy a t-shirt, how much would it cost him if he also had to pay a seven percent sales tax?
Answer:
it depends how much the shirt is too.
A science experiment involves periodically measuring the number of mild cells present on a piece of bread at the start to the experiment
Answer:
A
Step-by-step explanation:
tiook
Plz help its really urgent!!
Answer:
3)0.4 and 1.8
Step-by-step explanation:
:):):):):):):);):):)
