Answers
Answer:
a. 0
b. 4^1
c. 14
d. 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\(a^{m})^{n}=a^{m*n}\\\\a) 3^{5}*3^{x} = 3^{3}*9=3^{3}*3^{2}\\\\ 3^{5+x} =3^{3+2}[/tex]
Compare the exponents,
5 +x = 5
x = 5-5
x = 0
[tex]b) \frac{4^{x}*4^{8}}{4^{2}}=(4^{7})^{1}\\\\4^{x+8-2}=4^{7*1}\\4^{x + 6}=4^{7}[/tex]
Compare the exponents,
x +6 = 7
x = 7-6
x = 1
[tex]c)\frac{a^{8}*a^{5}}{a^{2}}=\frac{a^{x}}{a^{2}}\\\\a^{8+5-2}=a^{x-2}\\\\a^{11}=a^{x-2}[/tex]
Compare the exponents,
x - 2 = 11
x = 11+2
x = 13
[tex]d)\frac{(5^{3})^{x}}{5^{6}}=5^{10}*5^{8}\\\\5^{3x-6}=5^{10+8}\\\\5^{3x-6}=5^{18}[/tex]
Compare the exponents,
3x -6= 18
3x = 18 + 6
3x = 24
x = 24/3
x = 8
Related Questions
The volume of a box is 192 cubic inches.
The height is 4 inches. The width is 2
inches more than the length. Find the
missing dimensions.
Answers
Answer:
base=24
Step-by-step explanation:
2*4=8
192/8=24
A ladder is 6 m long.
The ladder is placed on horizontal ground, resting against a vertical wall.
The instructions for using the ladder say that the bottom of the ladder must not be closer than 1.5 m
from the bottom of the wall.
How far up the wall can the ladder reach?
Answers
Answer:
5.8 m
Step-by-step explanation:
Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8
The ladder can reach a height of 5.6 meters.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a ladder that is resting against a wall.
Now, assume that the ladder can reach a height of [x] meters. Then when the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -
(6 x 6) = x² + (1.5 x 1.5)
x² = (6 x 6) - (1.5 x 1.5)
x² = 7.5 x 4.5
x² = 33.75
x = 5.6 meters
Therefore, the ladder can reach a height of 5.6 meters.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ2
Please help! Will give branliest :)
Answers
Answer:
Increase by .5
Step-by-step explanation:
HOPE THIS HELPS
PLS MARK BRAINLIEST
Write 0.0065 in standard form
Answers
Answer:
6.5 × 10^-3
Step-by-step explanation:
there 3 decimal points to make it 6.5 so it makes it -3
1.) What is the average rate of change between x=2 and x=5?
2) What is the average rate of change between x=3 and x=6?
3) What is the average rate of change between x=2 and x=4?
Answers
Answer:
Rate of change = 150%
Rate of change = 100%
Rate of change = 100%
Step-by-step explanation:
Find:
Rate of change
x=2 and x=5
x=3 and x=6
x=2 and x=4
Rate of change = [(5-2)/2]100
Rate of change = 150%
Rate of change = [(6-3)/3]100
Rate of change = 100%
Rate of change = [(4-2)/2]100
Rate of change = 100%
Answer:
2 4 8 next : increases
Step-by-step explanation:
Find the value of the trigonometric ratio Sin C
Answers
Answer:
20/29
Step-by-step explanation:
Sin is Opposite/Hypotenuse. The opposite leg is 20, and the hypotenuse is 29.
Members of a club are making tie-die t-shirts. They made 104 t-shirts in the first week and need to
make a total of 325 t-shirst. What percent of t-shirts were made in the first week?
Answers
Answer:
34.3%
Step-by-step explanation:
Write a numerical expression for the verbal expression. the sum of six and fifteen divided by the difference of thirteen and nine
Answers
Hope this helps
plsss help ASAP!!!
BRAINLIEST
Answers
please help, will be greatful
Answers
Answer:
2,4 and 0,2 is an equation for L
Answer:
(0,1) , (2,4) , (-2,-2)
Step-by-step explanation:
this is the equation of L
What is the area of the following trapezoid in the following graph (there is an attachment)
Answers
Answer:
72 square units
Step-by-step explanation:
I asked my parents they agree, but i'm not sure if it's right or not.
express (3x+1)(2x-5) as a trinomial
Answers
6 x 2 − 13 x − 5 hope this helped,
Answer: (3x+1)(2x−5)
6
�
2
−
15
�
+
2
�
−
5
6x
2
−15x+2x−5
Distribute (FOIL)
6
�
2
−
13
�
−
5
6x
2
−13x−5
Step-by-step explanation:
What is the average of 6 and 10?
Answers
Answer:
j
Step-by-step explanation:
u
Answer:
8
Step-by-step explanation:
Learning Task 1
Do the following:
1. Statement: It is an eagle, it's a bird.
Write the following in words:
(a) P-9
(b) 4-P
(c)P9
Are all statements true? If not give a counter example.
2. Statement: All wild animals are mammals.
CL
Write in words:
(a) p 9
(b) 4P (c)p
Are all statements true? If not give a counter example.
Answers
Answer:
yarrak anladın yoksa sıkılırım karşim
Negative 11/14 times negative (1/17)
Answers
Step-by-step explanation:
[tex] - \frac{11}{14} \times - \frac{1}{17} \\ = \frac{11}{14 \times 17} \\ = \frac{11}{238} [/tex]
Hope it will help :)
Answer:
The answer is 11/238
Hope it helps
Find the measure of the indicated angle to the nearest degree?
Please hurry
Answers
Answer:
45 degrees
Step-by-step explanation:
Using the pythagorean theorem, the 3rd side=19. So the triangle is isosceles and therefore the 2 angles we don't know the measure of are congruent. One angle measures 90 degrees. So the last 2 angles must be 90 together, since we know a triangle equals 180 degrees. Therefore the angle we are trying to find is 45 degrees.
what is the formula of cylinder
Answers
Answer:
V = πr²h
Step-by-step explanation:
r = radius of circle
h = height of cylinder
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . ... Therefore, the volume of the cylinder is about 3016 cubic centimeters.
Last week Maria ran 19 miles less than Arjun. MAria ran 8.7 miles. How many miles did Arjun run?
Answers
Answer:
22.7 miles
Step-by-step explanation:
19+8.7=22.7
choose the correct classification of 2x+10^2-x^3
a) third degree trinomial
b) fourth degree trinomial
c) sixTh degree polynomial
d) first degree binomial
can some one plss help me??
Answers
Answer:
a) third degree trinomial
Step-by-step explanation:
The degree of a polynomial is the same as the degree of the term of the polynomial with the highest degree. The degree of a term is the sum of all the exponents of the variables of the term. Remember that a variable such as x, or y, or z has degree 1.
Now we look at the degree of each term:
2x: degree 1 (since x is the same as x^1)
10x^2: degree 2
-x^3: degree 3
The term with highest degree is the last term which has degree 3, so the degree of the polynomial is 3.
The polynomial has 3 terms, so it is a trinomial.
Answer: a) third degree trinomial
Patryk has 7 cards.
There is a number on each card.
2 3 4 5 6 7 8
Patryk takes two of the cards at random.
He works out the product of the numbers on the two cards.
Work out the probability that the product is an odd number.
Answers
Answer:
Probability that the product is an odd number = [tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Given - Patryk has 7 cards. There is a number on each card. 2 3 4 5 6 7 8
Patryk takes two of the cards at random. He works out the product
of the numbers on the two cards.
To find - Work out the probability that the product is an odd number.
Proof -
As we know that Product of two numbers is odd iff both the numbers are odd.
So, we have to find the probabilty that both the card that Patryk choose is odd
Now,
Total number of cards = 7
Total number of odd cards = 3
So, Probability = ³C₂ / ⁷C₂
= [tex]\frac{3!}{2! (3-2)!}. \frac{2! (7 - 2)!}{7!}[/tex]
= [tex]\frac{3!}{2! (1)!}. \frac{2! (5)!}{7!}[/tex]
= [tex]\frac{3!}{(1)!}. \frac{ (5)!}{7.6.5.4.3!}[/tex]
= [tex]\frac{ 5.4.3.2.1}{7.6.5.4}[/tex]
= [tex]\frac{1}{7}[/tex]
∴ we get
Probability that the product is an odd number = [tex]\frac{1}{7}[/tex]
classify 1/3 if it is rational, irrational, integer, whole, or natural
Answers
Answer:
rational
Step-by-step explanation:
Find an equivalent expression using the Distributive Property. x(4+y)
Answers
Answer:
x*4+x*y
Step-by-step explanation:
Answer:
4x+xy
Step-by-step explanation:
Just multiply x to both terms:
x(4+y)
x*4 + x*y
4x + xy
Hope this helped :)
What’s the answer to this ???
Answers
Answer:
-5, 3
Step-by-step explanation:
3) 10+3n=20+5n Set up the problem
-3n -3n Subtract 3n from both sides to get n on one side of the equation.
10 =20-2n
-20 -20 Subtract 20 from both sides to isolate n
-10 =2n
/2 /2 Divide both sides by 2 to isolate n
-5 = n
4) 18=2(b+6) Write down problem
18=2b+12 Distribute
-12 -12 Subtract 12 from both sides to isolate b
6=2b
/2/2 Divide both sides by 2 to isolate b
3=b
Answer:
3) 3x+10 = 5x+20
=> 3x-5x= 20-10
=> -2x= 10
=> x = 10/-2
=> x= -5
4) 2(b+6) = 18
=> 2b +12 = 18
=> 2b = 18-12
=> b= 6/2
=> b = 3
what is 83,74.21 written on expend form
Answers
8000 + 300 + 70 + 4 + 0.2 + 0.01
HHhhheeelllppppp!!!!!!!!
Answers
Answer: 9x-3
Step-by-step explanation:
hiring sports hall costs £30 booking fee and then £10 per hour. Chris hires and pays £120. How many hours did chris hire the hall for?
Answers
Answer:
3 hours
Step-by-step explanation:
$30 + $10 = $40
* Just for a hour and the fee*
$128 ÷ $40 = 3
Answer:
he paid 8 hours
Step-by-step explanation:
kasi ibawas mo ang 30£ sa booking tapos i add mo yung 80£ sa
hours sa hall kasa naging 8 hours
Plsssss help me I need help with this
Answers
Answer:
B 2.5
Step-by-step explanation:
10 x 2.5 = 25
6 x 2.5 = 15
Answer:
D
Step-by-step explanation:
PLEASE HELLLLLLLLLLLLLLP ME I NEED HELP PLEASE EXPLAIN HOW TO DO IT AS I HAVE A TEST NEXT WEEK AND IM REALLY STRESSED
Answers
Answer:
C. Cos(60°) = Sin(30°)
Step-by-step explanation:
Cos(60°) = 0.5
Sin(30°) = 0.5
Simplify. 6(23x–5)−7x−8
Answers
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a pink tile?
Answers
Answer:
Step-by-step explanation:
The experimental probability of choosing pink is
18/50
9/25
Answer:
The answer would be 18/50
Step-by-step explanation:
First part
Prob(Pink) = 18/50