Answers
Answer:
a = 6
b = 2
Step-by-step explanation:
Here, we want to take all values of p up and all values of q down
From the division, 9
goes up and the term above comes down
We have all the following indices rule to use;
(a^x)^y = a^xy
a^x * a^y = a^x + y
a^x / a^y = a^x-y
Let us evaluate all p terms;
p^12/p^4 = p^8
Let us evaluate all q terms
q^16/q^10 * 1/q^2
= q^6/q^2 = q^4
Let us evaluate all number terms
We have;
2^4/-3^2 * 9/4^2
= 16/9 * 9/16 = 1
All
number terms canceled out
Now, let us work with the exponents;
For the p terms;
p^8 = p^a+b
a + b = 8 •••••••••(i)
For the q terms;
q^4 = q^a-b
a-b = 4 ••••••••••(ii)
Add both equations
2a = 12
a = 12/2 = 6
For b;
a-b = 4
6-b = 4
b = 6-4
b = 2
Related Questions
A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where
6
4
2
-8
-6
-4
-2
2
6
8
-2
-6
How many feet of fencing will the homeowner need to build the dog pen?
Answers
Answer:52
Step-by-step explanation:
Please solve
16 > -8 + x
Answers
Answer:
3
Step-by-step explanation:
3x18>=3=3
Answer:
x < 24?
Step-by-step explanation:
Solve x TN = 8 nV =x - 2?
Answers
Answer:
10
Step-by-step explanation:
STUV is a parallelogram.
TV and SU are its diagonals intersecting at point N.
Diagonals of a parallelogram bisects each other.
Therefore, TN = NV
8 = x - 2
8 + 2 = x
10 = x
x = 10
A. Reflection
B. Rotation
C. Translation
D. No Transformation
Answers
Answer:D I think might be wrong
Step-by-step explanation:
Who can help with this question please?
Answers
Answer:
Let the sum be x.
Using formula,
I=
100
PRT
=
100
x×
12
15
×
2
15
−
100
x×
12
8
×
2
25
=32.50
⇒
2400
25x
=32.50
⇒x=
25
32.50×2400
=3120
∴ Required sum =Rs.3120
Step-by-step explanation:
Using the sum of the angle measures of a triangle, m angleC=?
Answers
Answer:
m∠C = 66°
Step-by-step explanation:
Given
m∠ A = 33°
m∠ B = 81°
To determine
m∠C = ?
We know that sum of angles of a triangle is 180°.
so using the equation
m∠ A + m∠ B + m∠C = 180°
substituting m∠ A = 33°, and m∠ B = 81° in the equatio
33° + 81°+m∠C= 180°
114° + m∠C = 180°
m∠C = 180° - 114°
m∠C = 66°
Therefore,
m∠C = 66°FACTORIZE :-
[tex]6 ^{2} + 6p + 8[/tex]
Answers
PLEASE HELP me!!! can give brainliest!
Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )
Answers
Answer:
9 years ( approximately)
Step-by-step explanation:
900(1.03)^t = 1200
(1.03)^t= 1.33
( 1.03)^t= ( 1.03)^9
So, t= 9
Find the prime factorization of 120.
23 × 3 × 5
2 × 32 × 5
2 × 3 × 5
2 × 32 × 52
Answers
Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Step-by-step explanation:
Subtract: 7/
8
- 4/
5
= 7 · 5/
8 · 5
- 4 · 8/
5 · 8
= 35/
40
- 32/
40
= 35 - 32/
40
= 3/
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven eighths minus four-fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = 3/
40
^ 2 = 32/
402
= 9/
1600
In words - three-fortieths squared = nine one-thousand six-hundredths.
If he starts at 1 and jumps 3 units to the right, then where is he on the number line? How far away from zero is he? (explain how you got the answer)
Answers
Answer:
4, he is 4 spaces away from zero.
Step-by-step explanation: I know things
please help i will mark branliest
Answers
Answer:
A. S=3w
Step-by-step explanation:
Hope it helps
Good luck, and have a great day!
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $
Answers
Answer:
$46.27
Step-by-step explanation:
210.29×.78=164.02
210.29-164.02=46.27
Easy 3rd grade mathy! ITS 100 POINTS
Answers
Answer:
3.5?
Step-by-step explanation:
May I have brainliest please I'm trying to level up!
</3 PureBeauty
Answer:
uhmm 3.2???
Step-by-step explanation:
I barely remember not gonna lie :'(
There are 20 different colored marbles in a bag and 4 of them are yellow. What
percentage of the marbles are yellow?
Answers
Answer:
20%
Step-by-step explanation:
4/20 * 100=20
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 9
–21/5 ≤ –5/2d
Answers
Answer:
No. ≤ means less than or equal to
Step-by-step explanation:
Which of the following coordinate points is a solution to the inequality y>= -3x+6
A (-2,4)
B (3,-4)
C (4,3)
D (-5,-3)
Answers
Answer:
I need help ok so this is correct it is c
Step-by-step explanation: First
Terri has a tepee. The tepee has a diameter of 9 feet and a height of 6 feet. What is the volume of the tepee to the nearest foot?
Answers
Answer:
yuop
Step-by-step explanation:
sdfghmnfv tnymu nhghbergfhthetdhtrsdfbgtgtsghrt
Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form
Answers
Here’s the working out;
What is the initial value of a function?
Answers
Answer:
The answer is The corresponding x-value when y equals 1
Alison bought 5 boxes of erasers,
Each box had 212 erasers. How
many erasers did she buy in all?
Answers
Answer:
1,060
Step-by-step explanation:
Each- Means multiplication.
You can add 212 - 5 times
212x5
Answer:
1060
Step-by-step explanation:
212 x 5 = 1060
212
x5
5x200=1000
5x10=50
5x2=10
1000+50+10=1060
How do you find the slope when you are only given an equation or a table?
Answers
Answer:
All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope in an equation is the number before the x
in a table it is y2-y1/x2-x1
A company that makes hair care products at 9000 people try a new shampoo. Of the 9000 people, 18 had a mid allergic reaction. What percent of the people had a mid allergic reaction
Answers
Answer:
0.2% of the people had mid allergic reaction.
Step-by-step explanation:
Given that:
Number of people tested for a new shampoo = 9000
Number of people who had allergic reaction = 18
Percent of people = [tex]\frac{People\ who\ have\ reaction}{Total\ number}*100[/tex]
Percent of people = [tex]\frac{18}{9000}*100[/tex]
Percent of people = 0.002 * 100
Percent of people = 0.2%
Hence,
0.2% of the people had mid allergic reaction.
The Perimeter of the scalene triangle is 54.6cm
Which equation can be
used to find the value of b if side a measures 8.7 cm?
a 8.7+b=54.6
b 17.4+ b = 54.6
c 26.1 + b = 54.6
d 34.8+b =54.6
Answers
Answer: B. 17.4+b=54.6
Step-by-step explanation:
Edgen 2023
The equation can be used to find the value of b is 54.6 = 34.8 + b.
We have,
The border of the triangle is54.6 cm
and side a = 8.7 cm,
So, Perimeter = sum of the lengths of the three sides
54.6 = a + 3a + b
54.6 = 4a + b
We know a= 8.7 then
54.6 = 4(8.7) + b
54.6 = 34.8 + b
Therefore, the needed equation is54.6 = 34.8b.
Learn more about Perimeter here:
https://brainly.com/question/7486523
#SPJ6
A computer normally costs
$650, but it is on sale for
15% off. What is the sale
price of the computer?
Answers
Answer:
$552.50
Step-by-step explanation:
650×.15=97.5
650-97.5=552.5
help Math 39 points Asap Probability image below
Answers
Answer:
1/10
Step-by-step explanation:
There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.
There are five marbles altogether.
First is 2/5
The second blue is 1/4
The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10
Help please :( !
Compare . Who picked fruit at a faster pace ?
Answers
Answer:
Shawn.
Step-by-step explanation:
We can solve for apples per hour and pears per hour. For Shawn, to get the apples per hour, we do 4/2 which is 2 bushels of apples per hour. For pears, we do 5/2 which is 2.5 bushels of pears per hour.
When Carla is picking, we can do:4/3 which is 1 and 1/3, which is her apple bushel picking per hour. For her pears, she picks them at 2 bushels of pears per hour.
Since Shawn picks her apples quicker per hour, and her pears quicker per hour, Shawn picks at a faster fruit pace.
A macaroni and cheese dish had 250 g of macaroni and 45 g of cheese.
What percent of the dish was cheese?
Answers
Answer:
15.25%
Step-by-step explanation:
total 45+250= 295
so percentage (45/295)×100
= 15.25%
On Monday, Aisha spent 5 over 6 of an hour practicing the violin. On Tuesday, she practiced for 2 over 3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?
Answers
Answer: 1/6
Step-by-step explanation:
5/6 - 4/6 = 1/6
Answer:
1
-
6
Step-by-step explanation:
Solve using quadratic formula.
[tex]4 {s}^{2} + 8s + 4 = 0[/tex]
Answers
Hope this help!
for the function h(x) = 4x2 -5x what is the value of (-3)
Answers
Answer:
h(-3) = 51
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = 4x² - 5x
h(-3) is x = -3
Step 2: Evaluate
Substitute in x: h(-3) = 4(-3)² - 5(-3)Exponents: h(-3) = 4(9) - 5(-3)Multiply: h(-3) = 36 + 15Add: h(-3) = 51Answer:
f(-3) = 51
Step-by-step explanation:
f(x) = 4x^2 - 5x
f(-3) = 4(-3)^2 - 5(-3)
f(-3) = 4*9 - (-15)
f(-3) = 36 + 15
f(-3) = 51