The laws of exponents I will be using are:
[tex](x^y)^z = x^{yz}[/tex], and [tex]x^y \cdot x^z = x^{y+z}[/tex].
For the first part, [tex](15^3)^3 \cdot 15^{-6} = 15^9 \cdot 15^{-6} = 15^3[/tex].
For the second part, [tex]15 \cdot (15^3)^2 \cdot (15^{-5})^2 = 15 \cdot (15^6) \cdot (15^{-10}) = 15^{1+6-10} = 15^{-3} = \frac{1}{15^3}[/tex].
Shannon's new car sold for $28,000. Her online research indicates that the car will depreciate exponentially at a rate of 5 ¼ % per year. Write the exponential depreciation formula for Shannon's car.
Answer:
P = 28,000(0.945)^y
where P is the price of the car after y years of purchase
Step-by-step explanation:
The rate of decrease is 5 1/4 % per year
This is same as 5.5% (5.5/100 = 0.055) per year
The exponential equation will be ;
P = 28,000( 1 - 0.055)^y
P = 28,000(0.945)^y
where y is the number of years after the year of purchase
my mom is in charge of providing snacks for her soccer team. She has cut up pieces
of apple and orange totalling 48 pieces of fruit. She brought twice as many
pieces of orange as she did apple. How many pieces of orange did she bring to
the soccer players? *
12
16
32
O 24
Answer:
32 oranges and 16 apples
what is ( n^2+6n-4)(2n-4)
Answer: 2
3
+
8
2
−
3
2
+
1
6
Step-by-step explanation:
It is Saturday morning and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In half an hour the bucket is ⅕ of the way full.
a. Using a table, determine the unit rate that water is leaking in terms of buckets of water per hour?
I will give you brianliest if you help me!!!
Answer:
the bucket is filled 2/5 every hour.
Step-by-step explanation:
Which one is the graph of f(x) = [x]?
Answer:
F
Step-by-step explanation:
because its linear
−7x−5=4x-29 What is the answer?
I need 72 times 73 -43 +63
Answer: 5276
Step-by-step explanation: Use a caculator
Jerome's brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.Is Jerome's brother correct?explain why or why not.Use examples from the table to support your answer.
Answer:
Ur table is wrong
Step-by-step explanation:
Jerome is also incorrect
Answer:
top 123456
bottom 7 8 9 10 11 12 13
Step-by-step explanation:
If (x + 7) is a factor of f(x), what is the value of f(-7)?
Answer:
The answer is 0.
Step-by-step explanation:
Simply plug in -7 for x as they want to see what the value of the function is when x=-7.
You can then just add -7 and 7.
7 + -7 = 0
So the answer is 0
what is 123+6 answer
Answer:
129
Step-by-step explanation:
123+6= 129
Answer:
Ciento veintinueve
Solve the photo. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
19.4
Step-by-step explanation:
I haven't done this type of equation in awhile but I believe you can multiply 8 and 17 then divide it by 7 to find the missing number. It might be correct but I am not 100% sure.
john works at a grocery store and makes $11 amount of dollars an hour. how much will be in johns paycheck this week if he worked 32 hours?
Answer: $352
Step-by-step explanation:
H(x) =2x+3 James brought a plant that was 3 inches tall. Each week the plant grew 2 inches. The function h(x) = 2x + 3 describes the height of the plant after x weeks. Which is the reasonable domain for this function?
Answer:
For 6 weeks, the height will be 15 inchesStep-by-step explanation:
Step one:
given data
the initial height of plant= 3inches
growth in inches per week =2inches per wee
Step two:
for x number of weeks, the height is expressed as
[tex]h(x) = 2x + 3[/tex]
With the given growth function, we can estimate the height of the plant after any number of weeks, say x=6, that is 6 weeks, the height will be
substitute x=6 in the growth function
[tex]h(x) = 2(6)+ 3\\\\h(x) = 12 + 3\\\\h(x) = 15 inches[/tex]
Which statement represents the given algebraic expression?
\large -3n-17
a
Seventeen less than three times a number
b
Negative three minus seventeen
c
A number less than seventeen is negative three
d
Negative three of a number decreased by seventeen
Answer:
D would be your answer
Step-by-step explanation:
The mass of a rock sample is 25 g and
its density is 5 g/cm². What is the
volume of the rock sample?
Answer:
given us,
mass= 25g
density= 5 g/ cm2
here,
volume = mass/ density
= 25g/ 5g cm2
= 5cm2
Step-by-step explanation:
cm2 is the square
Answer:
5
Step-by-step explanation:
25 / 5 = 5 mass / density = volume
What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
Answer:
the correct answer is x-2 and x+5
Step-by-step explanation:
Use Cymath
What is the 100th term of 6,10,14,18
Answer:
406
Step-by-step explanation:
6+(4x100)
It costs $3.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 160% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answer:
5.68
Step-by-step explanation
Im not sure if this is correct but if im right its 5.68
Andre has 60% of his goal of $70 saved for his trip. How much has he saved so far?
Answer:
42$
Step-by-step explanation:
So there's an easy way to know this.
100%--$70
60%--x
cross multiply
100x=4200
÷100 ÷100
______________
x=42
So he saved 42$. Hope this helps :D
A taxi service charges $1.00 for the first 1/10
mile then $0.10 for each additional 1/10
mile after that.
Complete the table with the missing information.
9/10
2
3 1/10
10
Answer:
9/10=$1.08
2=$1.19
3 1/10=$1.30
10=$1.99
Step-by-step explanation:
9/10-1/10=8/10
8/10x0.10=0.08
1+0.08=1.08
Same process for all the rest
What is the lowest price per item? $1.40 each $9 for 6 $6 for 3 $10 for 8
Answer:
$10 for 8
Step-by-step explanation:
it would be $1.25 each
hope this helps :3
if it did pls mark brainliest
Answer:
what the first person said
Step-by-step explanation:
i'm so sorry it's super hard to see, could someone please help me
Step-by-step explanation:
I got Y=-12/11-3
The only other answer it could be is the last one since perpendicular lines have negative reciprocal slopes and none of the other answer choices have negative reciprocal slopes.
Given the following exponential equation, find the Y-Intercept.
[tex]y=-3^x[/tex]
What is the equation of the line with a slope of 1/4 and a y-intercept of -2?
Answer:
y=(1/4)x-3
Step-by-step explanation:
Enter the next three numbers of the repeating decimal produced by the fraction 4/7
Answer:
.571
Step-by-step explanation:
4/7 = .571
The graph represents a system of linear equations. Which statements are true?
A) The solution is (6, 4).
B) The system has one solution.
C) The point of intersection is the solution.
D) A reasonable solution is (7.1, 0.9).
E) A reasonable solution is (6.4, 0.4).
Answer:
A
Step-by-step explanation:
Trust me I kinda can't explained it so you got to trust me
The correct answer would be options (B), (C), and (E) which the statements are "true".
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The graph given in the question, as shown represents a system of linear equations.
According to the given graph, the statements are "true" as follows:
The system has one solution.
The point of intersection is the solution.
A reasonable solution is (6.4, 0.4).
Hence, the correct answer would be options (B), (C), and (E).
Learn more about the Linear equations here:
https://brainly.com/question/13738061
#SPJ5
Find the measure of the complementary angle for letter S, 14 degrees.
Answer:
The complementary angle for letter S will be: 76°
Step-by-step explanation:
As we know that two angles will be complementary if their measures add to 90°.
Given the angle of letter S = 14°
Let suppose the other measuring complementary angle is m∠A.
so the equation becomes
So
14° + m∠A = 90°
m∠A = 90° - 14°
= 76°
Therefore, the complementary angle for letter S will be: 76°
A university wants to build a new residence hall with dorm rooms. The length is 3x+1 ft and the width is x^2-1 ft. If the university wants each room to have 195ft^2 of living space, what should be the dimensions of each dorm room? ["living space confuses me because idk if it's volume or bottom surface area]
Length of room, l = 3x + 1 ft.
Breadth of room, b = x² -1 ft.
Now, it is given that university wants each room to have 195 ft² of living space.
So,
[tex]lb = A\\\\(x^2-1)(3x+1)=195\\\\3x^3+x^2-6x-1=195\\\\3x^3+x^2-6x-196=0[/tex]
So, above equation has two complex root and one real root i.e x = 4.08 ft .
Therefore, Length of room is 13.24 ft and breadth is 15.65 ft.
Hence, this is the required solution.
Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
Step-by-step explanation:
2x+3> -9
2x > -9-3
2x > -12
x > -12/2
x > -6
An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
d
Step-by-step explanation:
cuz the top person said so and i had to use my brain to know which one they were talking about
Plz help me quickly I’ll give brainlist!!!!!!!!plz
Answer: Fraction from: 1 1/8 Decimal Form: 1.125
Step-by-step explanation:
2 1/4 = 9/4
1/2= 1/2
9/4 * 1/2 = 9/8= 1 1/8