Answer:
Part A: 0
Part B: All real numbers
Step-by-step explanation:
Part A:
We have:
[tex](6^2)^x=1[/tex]
First, let's evaluate the square:
[tex]36^x=1[/tex]
Now, what to the xth power will equal 1?
Remember the fact that anything (except for 0) to the zeroth power is 1.
Therefore, our x is 0:
[tex]36^0=1[/tex]
Part B:
We have:
[tex](6^0)^x=1[/tex]
Like mentioned previously, anything to the zeroth power is 1. Thus:
[tex]1^x=1[/tex]
Now, 1 is a special base because 1 to any (real) power is still going to be 1. For example:
[tex]1^0=1,1^1=1,1^{999},\text{ and } 1^{\pi}=1[/tex]
Therefore, our values of x is all real numbers.
And we're done!
Stuck on question 9.
Answer:
Step-by-step explanation:
I think it's 107 degrees? That's how many degrees are in between c and h, making it a 107 degree angle.
A species of fish was added to a lake. The population size Pt of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t) = 1000+(12e^−0.34t)where t is the number of years from the time the species was added to the lake.
Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary.
Answer:
1,012 ; 1,001
Step-by-step explanation:
Given the population function :
P(t) = 1000+(12e^−0.34t)
where t is the number of years from the time the species was added to the lake.
Initial population size of the species ; that is the population at year 0
At time, t = 0
P(0) = 1000+(12e^−0.34(0))
= 1000 + (12e^0)
= 1000 + 12(1)
= 1012
Initial population = 1,012
Population after 9 years :
P(9) = 1000+(12e^−0.34(9))
= 1000 + (12e^-3. 06)
= 1000 + (12×0.0468876)
= 1000 + ( 0.5626523)
= 1000.5626
= 1001 ( nearest whole number)
If Edward makes $197 in a week and sells: 5 pairs of jeans,5 T-shirts, and 3 hats, and buys 3 of his meals. How many pairs of shorts did he sell?
Answer:
None
Step-by-step explanation:
Based on my knowledge, in this whole statement aren't talking about pairs of shorts, it was talking about different clothes.
1. Simplify. 4(2a - 1) - 4 + 7a
Answer:
=15a−8
Step-by-step explanation:
Let's simplify step-by-step.
4(2a−1)−4+7a
Distribute:
=(4)(2a)+(4)(−1)+−4+7a
=8a+−4+−4+7a
Combine Like Terms:
=8a+−4+−4+7a
=(8a+7a)+(−4+−4)
=15a+−8
Answer:
=15a−8
hope i helped
-lvr
85,58, 72, 85, 46,93
Mean :
Median :
Mode :
Range :
Answer:
mean:Total of all numbers divided by the amount of numbers 439/6=73.2
median:72+85=157/2=78.5
mode:85 most frequent figure
Range: difference between the largest number and lowest number
93-46=47
5.6 as a fraction show all work
Answer:
5 6/10
Step-by-step explanation:
I can't really write a fraction but it would be 5 the 6 over 10. Hope this helps!
The lifespan of a zebra is 15 years. The lifespan of a black bear is 3 years longer than the lifespan of a zebra. Write an addition equation that you could use to find the lifespan of a bear.
Answer:
15+3=18 years
Step-by-step explanation:
Since the black bear lives 3 years longer than the zebra, all it really means is 3 additonial year so you add 3 on to the 15.
Mike can read 15 pages of a book in 24 minutes.
At this rate, how many minutes will it take Mike
to read 45 pages of the book?
Previous
Next
36
54
72
84
what is 135 square root in between on a number line?
Answer:
11.61
Step-by-step explanation:
It has to be between 11 and 12 and closer to twelve
One set of markers costs x dollars. How much would 5 sets of markers cost? No need to show work
Answer:
5x dollars
Step-by-step explanation:
Five sets at x dollars per set would be 5x dollars.
Answer:
5x
Step-by-step explanation:
Multiply the cost of one set of markers by 5
5x
Which statements are true? Select 3 options
A parking attendant charges a different rate for cars than for trucks. It costs $10.75 to park 3 cars and 2 trucks. It costs $12.25 to park 7 cars and 1 truck. How much does it cost to park a single car? A single truck?
Answer:
$1.25 to park a car and $3.50 to park a truck
Step-by-step explanation:
Set up a system where c is the number of cars parked and t is the number of trucks:
3c + 2t = 10.75
7c + t = 12.25
Solve by elimination by multiplying the bottom equation by -2 to eliminate t:
3c + 2t = 10.75
-14c - 2t = -24.5
Add them together and solve for c:
-11c = -13.75
c = 1.25
Then, plug in 1.25 as c in the equation to solve for t:
3c + 2t = 10.75
3(1.25) + 2t = 10.75
3.75 + 2t = 10.75
2t = 7
t = 3.5
So, it costs $1.25 to park a car and it costs $3.50 to park a truck
Evaluate f(2) for the function f(x) = 3x2 + 2x - 5
Answer:
The answer for f(2) is 11.
Step-by-step explanation:
f(x) = 3x2 + 2x - 5
f(2) = 3(2)2 + 2(2) - 5
f(2) = 6(2) + 4 - 5
f(2) = 12 + 4 - 5
f(2) = 16 - 5
f(2) = 11
The value of f(2) is 11 and this can be determined by using the arithmetic operations and the given data.
Given :
[tex]\rm f(x) = 3x^2+2x-5[/tex]
The following steps can be used in order to determine the value of f(2):
Step 1 - Write the given function.
[tex]\rm f(x) = 3x^2+2x-5[/tex]
Step 2 - The arithmetic operations can be used in order to determine the value of f(2).
Step 3 - Now, substitute the value of (x = 2) in the given function.
[tex]\rm f(2) = 3(2)^2+2(2)-5[/tex]
Step 4 - Simplify the above expression.
[tex]\rm f(2) = 3\times 4+4-5[/tex]
f(2) = 12 - 1
f(2) = 11
For more information, refer to the link given below:
https://brainly.com/question/25834626
Which statement is true? Question 3 options: A) – |13| = 13 B) |13| = – 13 C) – |–13| = 13 D) |–13| = 13
Answer:
D) |–13| = 13
Step-by-step explanation:
[tex]- |13| = 13 : \mathrm{False}\\\\\mathrm{Simplify\:}-\left|13\right|:\quad -13\\-13=13\\[/tex]
Option B
[tex]\left|13\right|=-13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}\left|13\right|:\quad 13\\13=-13[/tex]
Option C
[tex]-\left|-13\right|=13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}-\left|-13\right|:\quad -13\\-13=13[/tex]
Option D
[tex]\left|-13\right|=13 ; True\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\left|-13\right|=13\\\\13=13[/tex]
Sydney needs 15 inches of string to make a necklace. If she has 9 feet of string, what is the maximum number of necklaces that she can make?
Answer:
7 necklaces
Step-by-step explanation:
108/15=7.2, to make a whole last necklace you round it to just 7
Answer:
7
Step-by-step explanation:
9x12= 108. 108 ÷ 15 = 7.2, which I rounded to 7.
What is the solution of 25 - 3p = 55? Use a table.
A. p = -10
B. p = -5
C. p.= 5
D. p = 10
Answer:
A. p = -10
Step-by-step explanation:
i took the test
Which Set Of Numbers Does √35 Belong?
Answer:
rational
Step-by-step explanation:
please relly need help
Answer:
z=162
Step-by-step explanation:
[tex]\frac{z}{9}[/tex]=18
so we multiply 9 and 18 which is 162
If 80 is divided by the sum of 4 and a certain number , the result is 16 .find the number
Answer:
x = 60
Step-by-step explanation:
80/ 4+x = 16
(4 + x) * 80/ 4+x = 16 = 16 (4 + x)
80 = 16 + 4 + x
80 = 20 + x
60 = x or x = 60
Which value is the LARGEST?
a. 0.65
b. 33%
3
C.
5
d. 0.75
Answer:
d. 0.75 (assuming that choice c. is 3/5)
Step-by-step explanation:
Is C. 3/5? I'm assuming it is.
Write all numbers as decimals to make it easier to compare them.
a. 0.65 = 0.65
b. 33% = 0.33
c. 3/5 = 0.6
d. 0.75 = 0.75
Now that all numbers are written as decimals, we see that the greatest of them is 0.75
Answer: d. 0.75 (assuming that choice c. is 3/5)
Step-by-step explanation:
It's C I mean number 5 because the other ones are below 1 and 5 is greater than 1
What is the value of 2×[34−5×(3+1)] ?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28}}}}}[/tex]
Step-by-step explanation:
Use BODMAS rule :
Bracket , Of , Division , Multiplication , Addition , Subtraction
[tex] \sf{2 \times [ 34 - 5 \times (3 + 1) ] }[/tex]
Add the numbers : 3 and 1
[tex] \dashrightarrow{ \sf{2 \times [ 34 - 5 \times 4 ] }}[/tex]
Multiply the numbers : 5 and 4
[tex] \dashrightarrow{ \sf{2 \times [ 34 - 20 \: ] }}[/tex]
Subtract 20 from 34
[tex] \dashrightarrow{ \sf{2 \times 14}}[/tex]
Multiply the numbers : 2 and 14
[tex] \dashrightarrow{ \sf{28}}[/tex]
Hope I helped!
Best regards! :D
Answer:
28
Step-by-step explanation:
i took the test :D
Sean says that to add a number to -100 and still have -100 is to add a zero.Candice says that she can add 2 numbers to -100 and still have -100. Who is correct and why?
Answer:
Sean because zero added to anything is the same answer.
Step-by-step explanation:
33WELL EVERGREEN BOLUTIONS
CERTIFICATE EXAMINATION (BECE)
MATHEMATICS 2016
Time Allowed: 2 hrs
s
7. The bearing S 30° W is equivalent to
A. 0300 B. 0600 C. 120°
. D. 150° E. 2100
Answer:
150
Step-by-step explanation:
why because s 30° and half of a cicle is 180°so we minus it 180-30=150
carries family broke a package of graham crackers into 32 pieces. carries two brothers each ate 1/8 of the pieces and the rest of the family ate 7/16 of the pieces.
carries two brothers each ate ____ pieces
the rest of carries family ate ____ pieces
there were ____ pieces remaining
Answer:
Carrie's two brothers each ate 4 pieces, and the rest of the family ate 14 pieces, there were 10 pieces left.
Step-by-step explanation:
First, change all of the fraction's denominators into 32:
1/8 = 4/32
7/16 = 14/32
This gives us the answer to the first two questions.
Then add up the amount of pieces each person ate. Carrie has two brothers, so we double 4/32, which gives us 8/32. 8/32 + 14/32 = 22/32.
32 - 22 = 10, so there are 10 pieces remaining.
Hope this helps!
Answer:
Carries two brothers ate 4 pieces.
The rest of Carries family ate 14 pieces.
There were 14 pieces remaining.
Step-by-step explanation:
To find out how much the brothers ate you can divide 32 by 8 to get 4. For the family you can turn 7/16 into 32nds
16 x 2 = 32 and 7 x 2 = 14
so the family ate 14 pieces. Add 14 + 4= 18 so that's how much they all ate in total then 32-18 = 14. That means 14 pieces are left.
Hope that helps and have a great day!
[18+ 3(28 -19)] - 4 x 5 =
Answer:
25
Step-by-step explanation:
(18+3 x 9 ) – 20
(18+27) – 20
45 – 20
= 25
Answer: 25
Step-by-step explanation:
[18+ 3(28 -19)] - 4 x 5 =
(P E M D A S) parenthesis, exponents, multiplication, division, addition, subtraction
3 x 28 = 84
3 x 19 = 57
84 - 57 = 27
[18 + 27] - 4 x 5 =
45 - 4 x 5 =
4 x 5 = 20
45 - 20 = 25
Jordan uses three lemons to make 1 pitcher of lemonade. He makes 4 pitchers. How many lemons does he use altogether? *What visual would you use to draw this story problem?
Answer:
The number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons
Step-by-step explanation:
The number of lemons the Jordan uses to make 1 pitcher of lemonade = three lemons
The number of pitcher lemonades Jordan makes = 4 pitcher of lemonades
The number of lemons Jordan uses altogether, is given by the following relation;
1 pitcher of lemonade = 3 lemons
4 pitcher of lemonades = 4 × 3 lemons = 12 lemons
Therefore, the number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons.
En la granja hay 509 puercos anota el número antecesor y el número sucesor de la cantidad.
Answer: que
Step-by-step explanation:
Solve the equation for 'C' B + C = -D
Answer:
C = -D - B
Step-by-step explanation:
Step 1: Write out equation
B + C = -D
Step 2: Subtract B on both sides
C = -D - B
which of the following properties does not apply to rectangles - the diagonals bisect each other - all sides are congruent - the diagonals are congruent - all angles are congruent
convert 22 Australian dollars to US dollars
Answer:
22 Australian dollars are 16.12 USD