for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)
[tex] { ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0[/tex]
for every x greater than zero, use the second line to determine the value
[tex] {3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7[/tex]
hope this helps and gives some insight what to do.
if there are open questions left, feel free to ask them in the comments
have a beautiful day
-Alex
Art class has 444 tables. There are 999 pencils at each table.
Ava multiplied 4\times94×94, times, 9 to find the total number of pencils.
Finn multiplied 9\times49×49, times, 4 to find the total number of pencils.
Who is correct?
Choose 1 answer:
Answer:
Both Ava and Finn are correct
Step-by-step explanation:
There are 4 tables and 9 pencils at each table
4 ( 9) = 36
9 * 4 = 36
Both Ava and Finn are correct
Hi guys. Please help me here. The math problem is kinda tricky.
Thank you to anyone who tried:)
Answer:
12jjmhhxkuyrgtjwkso9xbhvsiy5xbgueyr3gskzhxo
Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis
Answer:
I assume that the function is:
[tex]f(x) = \frac{1}{4}*8^x[/tex]
Now let's describe the general transformations that we need to use in this problem.
Reflection across the x-axis:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
Reflection across the y-axis:
For a general function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
Then a reflection across the y-axis, and then a reflection across the x-axis is just:
g(x) = -(f(-x)) = -f(-x)
In this case, we have:
[tex]f(x) = \frac{1}{4}*8^x[/tex]
then:
[tex]g(x) = -f(-x) = -\frac{1}{4}*8^{-x}[/tex]
Now we can graph this, to get the graph you can see below:
(a) The radius of a circle is 5.6 cm. Find the angle in degrees subtended by an arc of 22 cm at the
centre of the circle.
DO NO A PLEASE
Answer:
225 degrees
Step-by-step explanation:
Given the following data;
Radius, r = 5.6 cmLength of arc = 22 cmTo find the angle in degrees subtended by an arc;
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
S is the length of the arc.A is the angle measured in radians.Substituting the values into the formula, we have;
22 = 5.6 * A
[tex] A = \frac {22}{5.6} [/tex]
A = 3.9286 radians.
Next, we would convert the value of the angle in radians to degrees;
Conversion:
[tex] 1 \; radian = \frac {180}{\pi} \; degrees [/tex]
[tex] 3.9286 \; radians = X \; degrees [/tex]
Cross-multiplying, we have;
[tex] X = \frac {180}{\frac {22}{7}} * 3.9286 [/tex]
[tex] X = \frac {180 * 7}{22} * 3.9286 [/tex]
[tex] X = \frac {1260}{22} * 3.9286 [/tex]
[tex] X = 57.2727 * 3.9286 [/tex]
X = 225.0015 ≈ 225 degrees
If you roll a number cube 96 times, how many times would you expect to roll a prime number?
We can expect to roll a prime number 48 times.
Theoretically, when you roll a number cube all the possible numbers have the same probability, 1/6.
We know that the numbers in a number cube are {1, 2, 3, 4, 5, 6}
Of these, the primes are: 2, 3, and 5.
So half of the outcomes of a number cube are primes.
This means that, in every single roll, the probability of getting a prime number is 1/2. (1/6 + 1/6 + 1/6 = 3/6 = 1/2)
Then for 96 rolls, we should expect to see in half of these a prime number as an outcome.
This means that we should expect to roll a prime number 96/2 = 48 times.
If you want to learn more about probability, you can read:
https://brainly.com/question/24316600
You should expect to roll a prime number 64 times.
To determine, if you roll a number cube 96 times, how many times would you expect to roll a prime number, the following calculation must be performed, knowing that the prime numbers are those that can only be divided by 1 or by themselves:
A cube has 6 sides. Therefore, the numbers in the cube will be 1, 2, 3, 4, 5 and 6. Of these numbers, only 4 and 6 are not prime, since 4 is divisible by 2 and 6 is divisible by 2 and 3.
Therefore, 4/6 numbers are prime, that is, 66.66% of the numbers in the cube.
Therefore, if you roll a number cube 96 times, since 96 x 4/6 equals 64, you should expect to roll a prime number 64 times.
Learn more in https://brainly.com/question/23715861.
order the equations by the steepness of the slopes of their graphs from greatest fj least.
Suppose that the function h is defined, for all real numbers, as follows.
Answer:
gsgdjdjchdvvdbdjzjsjsushsvvsvsvs I don't know
Answer:
see explanation
Step-by-step explanation:
h(- 3) with x = - 3, that is x ≠ 1 , then
h(- 3) = - [tex]\frac{1}{2}[/tex] (- 3) + 2 = [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{7}{2}[/tex]
h(1) with x = 1 , then
h(1) = 1
h(3) with x = 3, that is x ≠ 1 , then
h(3) = - [tex]\frac{1}{2}[/tex] (3) + 2 = - [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{1}{2}[/tex]
help please i dont know how to do
Answer:
apples = 160
oranges = 100
Step-by-step explanation:
Let apples be x and oranges be y
so
x = 60+y
now he have
y = x + 20
y-20 = x
(60+y)/2 = y-20
60+y = 2y-40
60+y-2y = -40
or, 60-y = -40
or, 60+40 = y
or, y = 100
so, y = 100
now, x = 60+100
so, x = 160
Answer:
100 oranges
160 apples
Step-by-step explanation:
Initially let x = oranges, so apples = x + 60
He sells 1/2 the apples which is (x + 60)/2, then there are 20 more oranges than apples so x (the oranges) will = the remaining apples (x + 60)/2 plus 20 OR
x = (x + 60)/2 + 20 multiply each term by 2 to get rid of the denominator
2x = (x + 60) + 40
2x - x = 60 + 40
x = 60 + 40 = 100 oranges AND
x + 60 or 160 apples
Please help me!!!!!
What are the answers
Answer:
y=3x
Step-by-step explanation:
The equation of the line is y=3x
Do these pairs of values (x and y) represent two quantities that are proportional?
X: 4, 6, 10, 14
Y: 2, 3, 5, 7
Answer:
No
Step-by-step explanation:
In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not). It would not go through (0.0), but would go through (2, 0)
1. Find(x) + g(x)
4 options to pick from
Name three collinear points.
Answer: l,j,k
Step-by-step explanation:
Can somebody please help me?
Answer:
use Pisagor teorem
Step-by-step explanation:
The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)
use other triangle to find hipotenus 48²+36²=x² .... x= 60
Graph the relation shown in the table. Is the relation a function? Why or why not? PLEASE HELP THANKYOU
Answer:
Yes, no verticle line passes through two graphed points
Step-by-step explanation:
A function is when 1 input only has 1 output. None of the inputs have different outputs. So, this is a function.
Find a recursive rule for the nth term of the sequence.
-7, -42, -252, -1512, ...
Answer:
-7*6^n
Step-by-step explanation:
The sequence is -7*6^n.
A few examples of this are the following,
ex.)
-7*6^0 = -7
-7*6^1 = -42
-7*6^2 = -252
the difference of two numbers is 24.if the smaller number is 38,find the greater one
Answer:
62
Step-by-step explanation:
add 24 to the smaller number to get the greater one
Answer:
62
Step-by-step explanation:
let, the greater number be 'x' and smaller number be 'y'
x-y=24 i.e. x-38=24
or, X=24+38
X= 62
Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.
Answer:
Hello,
Step-by-step explanation:
[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]
One other way:
Let say x=1.272727...
100x=127.272727...
x=1.272727...
99x=126
x=126/99
x=14/11
HURRY PLEASE
1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.
Answer:
n = ≥500
Step-by-step explanation:
They must be able to swim 500 yards or more.
8³ x 2⁷= •••
a.4¹⁶
b.2¹⁶
c.4⁸
d.2⁸
Answer: B:2^16
Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536
[tex]\boxed{\huge\text{Hey there!}}[/tex]
[tex]\huge\boxed{\mathsf{8^3 \times 2^7= \boxed{?}}}[/tex]
[tex]\huge\boxed{8^3}\\\huge\boxed{= 8\times8\times8}\\\huge\boxed{= 64 \times8}\\\huge\boxed{= \bf 512}[/tex]
[tex]\huge\boxed{2^7}\\\huge\boxed{= 2\times2\times2\times2\times2\times2\times2}\\\huge\boxed{= 4\times4\times4\times2}\\\huge\boxed{= 16\times8}\\\huge\boxed{= \bf 128}[/tex]
[tex]\huge\boxed{512 \times 128}\\\huge\boxed{= \bf 65,536}[/tex]
[tex]\huge\boxed{\textsf{ORIGINAL answer: \bf 65,536} \mathsf{\ and\ the}}\\\huge\boxed{\mathsf{EXPONENTIAL \ answer: \bf 2^{\mathsf{\bf 16}}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathsf{Therefore, your\ answer \ is: Option\ B. 2^{16}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
please solve this ASAP. I need this done but I can't figure it out
Answer:
x = 61
Step-by-step explanation:
Supplementary angles add up to 180 degrees. We can create an equation and solve for x.
(2x + 6) + (x - 9)= 180
~Combine like terms
3x - 3 = 180
~Add 3 to both sides
3x = 183
~Divide 3 to both sides
x = 61
Best of Luck!
Can u help solve this
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
can uh help me in this
Answer:
Step-by-step explanation:
b) a² - 1 + b(b - 2a) = a² -1 + b*b - b*2a {distributive property}
=a² - 1 + b² - 2ab
= (a² - 2ab + b² ) - 1
= (a - b)² - 1² {use identity x²-y²= (x+ y)(x -y)}
= (a - b + 1)(a -b +1)
b) 15 +8y + y² - 2x - x² = (y² + 8y + 15) - x² - 2x
= (y² + 5y + 3y + 15) - x(x + 2)
= [ y(y + 5) + 3(y +5)] - x(x + 2)
= [(y + 5)(y+3) ] - x(x +2)
Given the equation, 1 + 6k = 25, for some value of k, what is the value of k +7 for the same value
of k?
Step-by-step explanation:
1+6k=25
collect like terms
1-25=6k
-24=6k
divide both sides by 6
-4=k
;- k= -4
Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.
Answer:
7π + 7π + 196 ( could also be 14π + 196)
Step-by-step explanation:
14 is the length of the square. However it is also the diameter of the circle.
If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.
After finding 7π for one half a circle you do the same for the other and also get 7π
After finding the 2 half circles find the square which is 14 x 14 = 196
196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π
Which of the following terms describes the measure indicated by the black
arrow below?
A. Mean
B. Minimum
C. Range
D. Median
Answer:
mean
Step-by-step explanation:
The mean is the center of a normal distribution
A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer: 133,827 lb/ft^3
Step-by-step explanation:
V = (4/3) (3.14)(8^3) = 133,827
If SP = Rs 100 and CP = Rs 800 find profit %.
Answer:
c
Step-by-step explanation:
can someone help pls ? :]]
Answer:
1st option, p and q are both negated
Instructions: Find the missing side of the triangle.
12
16
X
х
=
Answer:
x = 20
Step-by-step explanation:
c^2 = a^2 + b^2
a = 12
b = 16
c = ?
c^2 = 12^2 + 16^2
c^2 = 144 + 256
c^2 = 400
sqrt(c^2) = sqrt(400)
c = 20
Set up the appropriate trigonometric ratio to determine the value of the safety angle.
Step-by-step explanation:
sin/cos=tan theta.It is the value of the safety angle