Answers
9514 1404 393
Answer:
a. 5^-3
b. 14^18
c. 8^9
d. 16^3
e. 21^-18
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
a) 5^(3-6) = 5^-3
b) 14^(3·6) = 14^18
c) 8^(3+6) = 8^9
d) 16^(6-3) = 16^3
e) 21^(3(-6)) = 21^-18
Related Questions
If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is the density of vegetable plants in the garden?
a. 1.61 vegetable plants per square foot.
b. 2.53 vegetable plants per square foot.
c. 2.40 vegetable plants per square foot.
d. 0.42 vegetable plants per square foot.
Answers
Correct me if I’m wrong
Answer:its D
Step-by-step explanation:
took the test
Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them to their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:
Year Annual Dog-walking Fee
2010 $350
2014 $750
A. What is the rate of change and initial value for Sarah’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Sarah charges each year.
Answers
Answer:
Step-by-step explanation:
A. The Initial value is the starting value of her business which can be considered $350 since that is what she made the first year. The Slope can be calculated by subtracting the end profit from the initial profit and then dividing by the result of subtracting the end year by the initial year like so...
$350 initial value
[tex]\frac{750 - 350}{2014 - 2010} = \frac{400}{4} = \frac{100}{1 year} =[/tex] $100 a year increase
B. The equation for this scenario would be y = 100x + 350
Answer:
100 each year and y=100x+350
Step-by-step explanation:
HELP PLEASE ANSWER NOW
Solve the following system of equations algebraically using the ELIMINATION METHOD. Show all work.
x-3y=1
3x-5y=11
Answers
Answer:
(7,2)
Step-by-step explanation:
Multiply the first equation by -3
(x-3y=1) = -3x+9y=-3
Combine like terms with the new equation and the second equation
(-3x+9y=-3) + (3x-5y=11) = 4y=8
Divide each side by 4
4y/4=8/4
y=2
Plug in 2 for y in any equation. It doesn’t matter which one
x-3(2)=1
Distribute
x-6=1
Add 6 to both sides
x-6=1
+6 +6
x=7
Answer: x = 7 y = 2
(7, 2)
Step-by-step explanation:
Multiply the first equation by -3 and the second by 1:
-3(x - 3y = 1)
1(3x - 5y = 11)
Becomes:
-3x + 9y = -3
3x - 5y = 11
Add the equations to eliminate x:
-3x + 9y = -3
3x - 5y = 11
4y = 8
Solve for y by dividing by 4:
4y/4 = 8/4
y = 2
Now we plug in y to the first equation:
x - 3 ( 2 ) = 1
x - 6 = 1
Add 6 to both sides:
x - 6 + 6 = 1 + 6
x = 7
Caleb has driven 820 miles of his road trip. He has 20% of his trip left to go. How many miles does he have left to go? Need asp
Answers
Triangle MAT is isosceles, angle A is the vertex angle, AT = 8x-3, MT = 2x+3 and MA=5x+15. Find the value of x and the indicated measures.
Please solve step by step to help me understand. Thanks!
Answers
Answer:
x=6, AT=45, MT=15, MA=45
Step-by-step explanation:
Because it is isosceles, MA=AT, so 8x-3=5x+15, solve for x and then plug it into the equations.
Question 3
Simplify the expression by combining like terms
Expression: 8y + 14x - 7y2 - 15x + 3y
Like Terms: I
Simplified Expression:
Answers
Answer:
-7y^2-x+11y
Step-by-step explanation:
Katie wants to buy a bicycle that costs $200. This is
$20 more than twice what she saved last month. How
much did she save last month?.
Find the number.
Answers
Step-by-step explanation:
Multiply both the numbers
200 × 20
(4000) Answer
Can someone please help? I'll mark brainliest! :)
Answers
Answer:
D
Step-by-step explanation:
[tex]8x - 2 < - 4(x - 1) \\ 8x - 2 < - 4x + 4 \\ 8x + 4x < 4 + 2 \\ 12x < 6 \\ x < \frac{1}{2} [/tex]
Find the area of the figure. (Sides meet at right angles.)
Answers
Answer: 37ft^2
Step-by-step explanation:
Create two separate figures. A full square 3x3 and a rectangle 7x4.
The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft
Area of 3x3 square = 3^2 = 9ft^2
Area of 7x4 rectangle = 7x4 = 28ft^2
28+9= 37ft^2
Systems of equations with different slopes and different y-intercepts have one solution.
Never
Sometimes
Always
Answers
Answer:
never
Step-by-step explanation:
h6lppppppndue in 45 min
Answers
Answer: 6:5 ; 18:15 ; 36:30
Step-by-step explanation:
6/5 = x/15
5x = 6(15) use cross multiply
5x = 90
x = 18
6/5 = 36/x
6x = 5(36) use cross multiply
6x = 180
x = 30
Answer:
Answer below
Step-by-step explanation:
For every 6 taxis, there are 5 busses
if there are 15 busses, thats 3 sets of 5
6x3 is 18. so for every 15 busses, there are 18 taxis
If there are 36 taxis, thats 6 sets of 6
since there are 5 busses for every 5 taxis
5x6 is 40
for every 30 busses, there are 36 taxis
Find the value of x.
Answers
Answer:
The answer is 148 or D
Step-by-step explanation:
The line has 180 degrees total, to find the answer you subtact 32 from 180. This leaves you with 148.
Answer: x = 148°
Step-by-step explanation: All supplementary angles equal 180°. So you subtract 32° from 180° (180°-32°) and get your answer.
What is 9/7 divided by 3/4?
Answers
Answer:
12/7 or E
Step-by-step explanation:
Answer: 1 5/7
Step-by-step explanation:
im really confused i hope this doesnt take to much time please help it would me so much to me.
Answers
Help please I don’t know it
Answers
Answer:
Step-by-step explanation:
sinC = 12/13
cosA = 12/13
Help me I have time plz!!
Answers
Answer:
D
Step-by-step explanation:
Ashley is deciding between two jobs.
Job A pays $2000 a month with a
monthly raise of $85. Job B pays $2000
a month with a monthly raise of 4%.
a. Write a function to represent the
monthly salary for job B.
Answers
Answer:
job A because 4% of 2000 is 80 and job A is 5 dollars extra
If Jessica split 75 pencils between 8 people in her class and kept the leftovers, how many pencils did each classmate get?
Answers
Answer: Each classmate got 9 pencils
Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.
for each line, determine whether the slope is positive, negative, zero or undefined. (this is homework.)
Answers
Answer:
I think 1 is negative, 2 undefined, 3 negative, 4 positive
Step-by-step explanation:
Answer:
1. zero
2. undefined
3. negative
4. positive
Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?
Answers
Answer: 2/5 feet
Step-by-step explanation:
From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.
The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:
= 8/10 ÷ 2
= 8/10 × 1/2
= 8/20
= 2/5
Therefore, each person gets 2/5 feet of rope.
Which set of ordered pairs represents y as a function of x?
A (0, 0), { (−1, 2), (−1, −2), (−2, 4), (−2, −4)}
B {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}
C {(0, 0), (0, 1), (0, 2), (0, −1), (0, −2)}
D {(0, 0), (−1, −0.5), (−2, −1), (−3, −1.5), (−4, −2)}
Answers
Answer:
The answer to the question would be D
A car travels 80 millimetres in 2 1/2 hours . What is it speed in kilometres per hour
Answers
Answer:
32 Kilometers
Step-by-step explanation:
A Car travels 80 Kilometers in 2 and Half hours.
1 Hour =60 minutes, 2 & Half hours= 2.5*60= 150 minutes
Kilometers travelled by Car in a hour= 80/150*60= 32 Kilometers
I have a big test coming up and i nedd help with this question please :)
Answers
Answer:
the answer is 7/10
Step-by-step explanation:
Plot the points (-3,-4) and (6,-4) on the coordinate plane below.
What is the distance between these two points?
units
y
9-
8
7
6-
4-
3-
2-
11
H
{}
-9-8-7-6-5-4-3-2
1 2 3 4 5 6 7 8 9
-34
14
-5-
-6-
-7-
18
Answers
Answer:
d = 9
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-3, -4) and (6, -4)
d=√((6-(-3))²+(-4-(-4))²)
d=√((6+3))²+(-4+4))²)
d=√((9)²+(0)²)
d = √81
d = 9
find the diameter of the circular garden whose circumference is 124.03 cm
Answers
Answer:
[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]
Solve for diameterd = 39.48hopefully help:)
Step-by-step explanation:
✨use #CarryOnLearning to help our medical frontliners✨
#CarryOnLearning16 1/4 divided by 3.25
Someone pls help
Answers
Answer:
20
Step-by-step explanation:
16 1/4 ÷ 3.25
16×4=64+1=65
65/3.25=20
Answer:
The answer is 5.
Step-by-step explanation:
you do this by converting the decimal 3.25 into a fraction. This would equal 3 1/4 (simplified) now since that both fractions have the same denominator we can solve by dividing the fractions.
Can you please help me?
Answers
Answer:
[tex]\frac{20}{36}[/tex]
Step-by-step explanation:
the total amount of squares within this square is 36
and the number of shaded squares would be 20
so if 20 squares out of 36 squares are shaded, then the fraction is
[tex]\frac{20}{36}[/tex]
or 55.56%
(to find percentage multiply [tex]\frac{20}{36}[/tex] by 100)
Answer:
5/9
= 55.56% ( to the nearest hundredth).
Step-by-step explanation:
The total number of little squares in the large square = 6*6 = 36.
Total number of shaded squares = 2*6 + 2*4
= 12 + 8 = 20.
So the fraction of shaded part
= 20/36
= 5/9.
As a percentage this is 5*100/9
= 55 5/9%
= 55.55..... %
I need help with #2 help if u can
Answers
Answer:
Step-by-step explanation:
G
What is 600 divided by 70?
Answers
Answer:
8.5714285714
Step-by-step explanation:
round as you must
Answer:
8.571
Step-by-step explanation:
600/70
= 60/7 (cancel the zeroes)
= 8.571
When you cut a pyramid straight up and down, what shape is your cross section?
Answers
Answer:
The cross section of a pyramid that is perpendicular to the base will be a triangle.
Step-by-step explanation: