Answer:
(fog)(x) = x^2
Step-by-step explanation:
Here g(x) = x^2 + 14 becomes the input to f(x):
(fog)(x) = [x^2 + 14] - 14
(fog)(x) = x^2 (answer)
If the function are f(x) = x - 14 and g(x) = x² + 14. Then the function (fog)(x) will be x².
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The functions are given below.
If the function are f(x) = x - 14 and g(x) = x² + 14
Then the function (fog)(x) will be
(fog)(x) = g(x) - 14
(fog)(x) = x² + 14 - 14
(fog)(x) = x²
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
What is another name for a cord that passes through the center of a circle
Answer:
Equal chords are subtended by equal angles from the center of the circle. A chord that passes through the center of a circle is called a diameter, and is the longest chord.
Step-by-step explanation:
Answer:
Diameter
Step-by-step explanation:
Find the GCF of 12x^2y and 27xy^3z
Step-by-step explanation:
all work is shown and pictured
The GCF of 12x^2y and 27xy^3z is 3xy.
What is GCF?The full sort of GCF is greatest divisor. it's also referred to as highest common factor.
How to find GCF?we have to seek out GCF of
We can write them as:
1)2*2*3*x*x*y
2)3*3*3*x*y*y*y*z
GCF=3*x*y
=3xy
Hence the best common measure of 12x^2y and 27xy^3z is 3xy.
Learn more about HCF at https://brainly.com/question/21504246
#SPJ2
On Monday, the temperature was 6 degrees cooler than it had been on Sunday, on Tuesday the temperature rose 4 degrees from Monday. Wednesday's temperature was cooler than Tuesday's, but not as cool as it was on Monday. Which answer choice shows a reasonable answer for the difference in temperature on Wednesday, as compared to the temperature on Sunday?
A) -10 degrees
B) -7 degrees
C) -4 degrees
D) -2 degrees
Answer:
C) -4 degrees
Step-by-step explanation:
let's set Sunday Temp = 0°
Since Monday is 6° cooler than Sunday, we subtract 6° from 0 (Sunday's temp)
Monday's Temp -6 (0-6)
Since Tuesday's Temp is 4° higher than Monday, we add 4 to Monday's temp:
Tuesday's Temp -2 (-6+4)
Wednesday's Temp is cooler than Tuesday's but not as cool as Monday's, we assume that Wednesday's Temp is in-between -6 & -2
that makes
c. -4 a reasonable choice
Answer:
C) -4 degrees
Step-by-step explanation:
Let x be the temperature on sunday,
Then, according to the question,
The temperature on monday = x - 6,
On Tuesday = (x-6) + 4 = x - 2,
Now, Wednesday's temperature was cooler than Tuesday's, but not as cool as it was on Monday,
That is, x - 6 < temperature on wednesday < x - 2
⇒ x- 6 - x < temperature on wednesday - x < x - 2 - x
⇒-6 < temperature on wednesday - temperature on sunday < -2
Since, -6 < -4 < -2
Hence, the possible difference between the temperature on Wednesday, as compared to the temperature on Sunday would be -4.
Option 'C' is correct.
which of the following is a conditional probability?
A.the probability that a person will be born with blue eyes or struck by lightning
B.the probability that a person will buy a red car.
C.the probability that a person will order dessert given that they ordered a steak for dinner.
D.the probability that a person will not purchase a cell phone.
The probability that a person will order dessert given that they ordered a steak for dinner, this is an example of conditional probability.
What is conditional probability?Given that another event (B) has previously occurred, the likelihood of an event (A) occurring.
Event A in Option(C) - A person will order dessert
Event B in Option(C) - A person will order steak for dinner
Event A will only occur if the event B has already completed, hence according to the definition this is an example of conditional probability.
Learn more about conditional probability on:
https://brainly.com/question/10567654
#SPJ2
1. In the number 7563291 write down the column that the 5 is in
2. Write down the term to term rule for this sequence: 3,-1,-5,-9
3. Work out the LCM of 18 and 30
4. Simplify b-3b+a+b
5. A child’s shape sorter has 3 green shapes, 3 red shapes, 4 blue shapes and 4 yellow shapes. Write down the probability of selecting a green or red shape
6. Calculate 479+725
7. Which numbers in the 100 times table is 3562 between
8. Find the input into the function machine x3 -5 28
9. Calculate 3/8-1/6
10. In a pie chart an angle of 24 degrees is drawn to represent people who voted labour in the last election. What fraction of people voted labour
11. Two angles are 72 degrees and 49 degrees. They lie on a straight line with a third angle. Calculate the size of the third angle
12. Write a list of 5 numbers with a median of 7
14. Change 0.6 into a percentage
15. Work or 7% of £50
16. How many edges does a square based pyramid have
Please could someone help me with these question I need help ASAP
I will make your answer a brainliest answer
Answer:
Hundred Thousands-490a-b6/14 = 3/712043500 & 3600I am guessing but I am not sure on how to do this one. x=113/8(6)-1/6(8)=18/48-8/48=10/48=****5/24****6.6 repeating180-72=108-49=****59****5,6,7,8,9No number 1360%3.5 or if adding 7% tax then it is 53.508 edges
Express -5 2/5 as an improper fraction. help asap!!!!
Answer:
[tex]\large\boxed{-5\dfrac{2}{5}=-\dfrac{27}{5}}[/tex]
Step-by-step explanation:
[tex]\bold{Method\ 1}:\\\\5=\dfrac{5\cdot5}{5}=\dfrac{25}{5}\\\\-5\dfrac{2}{5}=-\left(5+\dfrac{2}{5}\right)=-\left(\dfrac{25}{5}+\dfrac{2}{5}\right)=-\dfrac{25+2}{5}=-\dfrac{27}{5}\\\\\bold{Method\ 2:}\\\\\text{Multiply the integer by the denominator and add it to the numerator.}\\\\-5\dfrac{2}{5}=-\dfrac{(5)(5)+2}{5}=-\dfrac{25+2}{5}=-\dfrac{27}{5}[/tex]
Answer:
5 x 5 + 2
= -27/5 (5 is denominator)
Select all that apply. Which postulates are discussed in this lesson?
Try to put in 9 and 10
The following table shows the number of comments on each of Omar's 9 most recent spcial media posts.
Based on this data, what is reasonable estimate of the probability that Omar's next post will get no comments?
CHOOSE 1 ANSWER:
A.) 0/27
B.) 4/9
C.) 4/5
D.) 27/27
The probability that the next post will have 0 comments is P = 4/9.
How to get the probability?
The probability will be equal to the quotient between the number of posts with no comments and the total number of posts.
We know that there are 9 posts, and by looking at the table, we can see that 4 out of these 9 posts have 0 coments.
Then the probability that the next post will have 0 comments is:
P = 4/9
So the correct option is B.
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ2
Which best describes the meaning of the term theorem?
Answer: Ok, this have come up with. Here are 4 different definitions theorem could possiably mean :)
Mathematics. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas.a rule or law, especially one expressed by an equation or formulaLogic. a proposition that can be deduced from the premises or assumptions of a system.an idea, belief, method, or statement generally accepted as true or worthwhile without proof.
Hope that helps you out :D
What is the slope of the line represented by the equation y = –2/3 – 5x?
Answer:
The slope is m=-5
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
y=mx+b
where
m is the slope
b is the y-intercept
In this problem we have
y=-(2/3)-5x
so
the slope is equal to
m=-5
the y-intercept is equal to
b=-2/3
what is 51.4 plus 2.86
Answer:
54.26
Step-by-step explanation:
0.4+0.86= 1.26
51+2= 53
53+1.26= 54.26
Answer:
54.26 i hope its right
int(1 \(1 + {e}^{x} )
Answer:
[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx}= x - \ln(1 + e^{x}) + C\end{aligned}[/tex].
Step-by-step explanation:
The first derivative of the denominator [tex]1 + e^{x}[/tex] is [tex]e^{x}[/tex]. Rewrite the fraction to obtain that expression on the numerator.
[tex]\begin{aligned}\frac{1}{1 + e^{x}} &= \frac{1 + e^{x}}{1 + e^{x}} - \frac{e^{x}}{1+e^{x}}\\&=1-\frac{e^{x}}{1+e^{x}}\end{aligned}[/tex].
In other words,
[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\end{aligned}[/tex].
Apply [tex]u[/tex]-substitution on the integral [tex]\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx}[/tex]:
Let [tex]u = 1 + e^{x}[/tex]. [tex]u > 1[/tex].
[tex]du = e^{x}\cdot dx[/tex].
[tex]\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx} = \int{\frac{du}{u}} = \ln{|u|} = \ln{u} +C = \ln{(1+e^{x})}+C[/tex].
Therefore
[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\\ & = x - \ln{(1 + e^{x})}+C\end{aligned}[/tex].
A professor has eight different tasks to assign, one to each of her eight teaching assistants. In how
many different ways could she make the assignments?
Answer:
40320
Step-by-step explanation:
There are 8 different people we could assign to the first task. Now there are 7 tasks and 7 people left. There are 7 different people we could assign to the next task. And so on
8 *7*6*5*4*3*2*1
8!
40320
Final answer:
The professor can assign eight different tasks to her eight teaching assistants in 40,320 different ways, calculated by the factorial of eight (8!).
Explanation:
The question pertains to the number of ways to assign eight different tasks to eight teaching assistants. This problem can be solved using the concept of permutations, which is a fundamental principle in combinatorics, a branch of mathematics.
To find the number of different permutations of eight distinct items (the tasks), we would calculate 8!, which signifies factorial of eight. This represents the product of all positive integers up to 8:
8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320Therefore, there are 40,320 different ways the professor can make the assignments to her eight teaching assistants.
Miles paid $5824, including 4% sales tax, for an out-of-state purchase of a car. In order to calculate the amount of sales tax he owes in his state, he must first determine the price of the car without sales tax. How much did the car cost before sales tax? This one is a little bit tricky. The amount you need to find the sales tax of is not know. Let the original price be x. Then, 4% of that price is 0.04x. Adding the original price and the sales tax, we get the amount paid. Therefore, the equation is
X + 0.04x = 5824
Answer:
$5600
Step-by-step explanation:
Original Cost = x
Total Cost = $5824
Sales Tax = 4% or 0.04
Problem Setup
(Original Cost) + 4% (Original Cost) = Total Cost
x + 0.04x = 5824
1x+ 0.04x = 5824
1.04x = 5824
1.04x/1.04 = 5824/1.04
x=5600 Original Cost
To Check math multiply 5600 x 0.04 = 224.
Then add $5600 + $224 = $5824
The price of the car before sales tax is $5600.
To determine the cost of the car before sales tax, we can use the equation provided:
[tex]x + 0.04x = 5824[/tex]
Here, [tex]x[/tex] represents the original price of the car before sales tax, and [tex]0.04x[/tex] represents the amount of sales tax, which is 4% of the car's price.
First, combine the terms on the left side of the equation:
[tex]1x + 0.04x = 1.04x[/tex]
Therefore, the equation simplifies to:
[tex]1.04x = 5824[/tex]
Next, to solve for [tex]x[/tex], divide both sides of the equation by 1.04:
[tex]x = \frac{5824}{1.04}[/tex]
Calculating the right side:
[tex]x = 5600[/tex]
60% of the 50 students in Jessie’s gym class are 12 years old. How many students in Jessie’s class are 12 years old?
Answer:
30
Step-by-step explanation:
60% of the 50 students are 12 years old
60% * 50
Changing to decimal form
.60 * 50
30
30 of the students are 12
Answer:
30Step by-step explanation:just took the testWhat is the formulae of a closed cylinder
Answer:
Step-by-step explanation:
Surface area is 2(πr²) + 2πrh. The first includes the top and bottom; the second is the area of lateral sides of the cylinder (radius r and height h).
The volume of this cylinder is V = πr²h.
Answer:
2 pi r square + pi dh
Step-by-step explanation:
2 pi r square + pi dh
NEED ANSWER NOW A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed. Which word describes the slope of the line representing the data in the table? zero undefined negative
This question is based on the reasoning. Therefore, the negative slope of the line representing the data in the table.
Given;
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
We have to describe the slope of the line representing the data in the table.
Reasoning: The number of cards sold is represented by x-axis and the amount of money needed is represented by the y-axis.
In general, as we sell more cards, we gain more money and then, the amount of money needed goes down.
From the given graph terms, we start at the top of our graph with the amount of money needed and zero cards sold and then as we sell cards your slope of the line goes down and we need less and less money.
Therefore, the negative slope of the line representing the data in the table.
For more details, prefer this link:
https://brainly.com/question/18548122
Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker needs to pass two checkpoints before completing a race. The total distance for the race is 120 miles. The distance from the starting point to checkpoint 1 is 35 miles more than half the distance from checkpoint 1 to checkpoint 2. The distance from checkpoint 2 to the finish line is 20 miles less than twice the distance from checkpoint 1 to checkpoint 2. Let x represent the distance from the starting point to checkpoint 1, y represent the distance from checkpoint 1 to checkpoint 2, and z represent the distance from checkpoint 2 to the finish line. Complete the matrix equation that models this situation, A-1B = X.
The problem involves creating and solving a system of equations based on a story problem. The three equations that represent the system are x + y + z = 120, x = y/2 + 35, and z = 2y - 20.
Explanation:To complete the matrix equation that models this situation, we need to define the distances between the starting point, checkpoint 1, checkpoint 2, and the finish line. Let x represent the distance from the starting point to checkpoint 1, y represent the distance from checkpoint 1 to checkpoint 2, and z represent the distance from checkpoint 2 to the finish line. The matrix equation would look like this:
A * [x, y, z] = B
Learn more about Matrix equation here:https://brainly.com/question/29132693
#SPJ12
Which expression is equal to...
1: (4^5)(4^-2)/4^-7
2: 4^-4
3: 4^0
4: 4^5/4^-9
given f(x)=2x^2-8x+6 and g(x)=3x-1 find f(x) +g(x)
a. 2x^2+5x+5
b.2x^2-11x+7
c. 2x^2-5x+5
d.2x^2-5x-5
For this case we have the following functions:
[tex]f (x) = 2x ^ 2-8x + 6\\g (x) = 3x-1[/tex]
We must find f (x) + g (x):
We have to:
[tex]f (x) + g (x) = 2x ^ 2-8x + 6 + (3x-1)\\f (x) + g (x) = 2x ^ 2-8x + 6 + 3x-1[/tex]
We add similar terms:
[tex]f (x) + g (x) = 2x ^ 2-5x + 5[/tex]
Answer:
[tex]f (x) + g (x) = 2x ^ 2-5x + 5[/tex]
OPTION C
80 Points !! Help me please!
Answer:
The total cost of the tent with the markup and then tax applied is $409.86
Step-by-step explanation:
230 is the original
the price is going to increase by 230(.65)=149.5
So the new price is 230+149.5=379.5 (this is before tax is applied)
The sales tax is 8% or .08
So the price is going to increase by .08(379.5)=30.36 (this is the tax to add in)
So the total cost is 379.5+30.36=409.86
Answer:
Cost of the tent: $517.86
Step-by-step explanation:
Since it's marked up by 65%, that means you add an additional $149.59 to $230. Now, you have $479.50. Now with 8% tax, you multiply $479.50 to 0.08 and we get $38.36. We add $38.36 to $479.50 and we get $517.86. I hope this helps and please mark me brainliest!
Which expression is equivalent to (2x^2)(3x^3)(4x)^2?
(2x^2)(3x^3)(4x)^2
=6x^5(16x^2)
=96X^7
Answer:
24 x^7
Step-by-step explanation:
(2 x^2)(3 x^3)(4 x)^2 = 2*3*4 * x² * x³ * x² = 24 x^7
Five consecutive two-digit positive integers, each less than 30, are not prime. What is the largest of these five integers?
Answer:28
Step-by-step explanation:five numbers: 24, 25, 26, 27, 28
the largest is 28
The numbers are 24, 25, 26, 27, 28 and the largest will be 28.
It should be noted that prime numbers are the numbers that can only be divided by itself and 1.Consecutive numbers simply means the numbers that follow each other as they've thesame characters.Therefore, the numbers are 24, 25, 26, 27, 28 and the largest will be 28.
Learn more about prime numbers on:
https://brainly.com/question/145452
What is the middle term in the simplified product?
(x + 3)(x – 4)
Answer:
- x
Step-by-step explanation:
If we expand the product.
Each term in the second factor is multiplied by each term in the first factor
x(x - 4) + 3(x - 4) ← distribute both parenthesis
= x² - 4x + 3x - 12 ← collect like terms
= x² - x - 12
The middle term of the product is - x
I need help with this
Answer:
-1,1,3
Step-by-step explanation:
The zeros,roots and the x-intercept are the same, so see where the graph touches the x axis and that or thosepoints is/are the zeros
4x^2+4x+1=9 solutions
Answer:
x = - 2, x = 1
Step-by-step explanation:
Given
4x² + 4x + 1 = 9 ( subtract 9 from both sides )
4x² + 4x - 8 = 0 ← in standard form
Divide through by 4
x² + x - 2 = 0
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
The table shows the solution to the equation |2x − 3| − 1 =
Answer:
It is -373.
Step-by-step explanation:
How many solutions does this system have?
y=5x-1
y=-3x+7
Answer:
One solution
Step-by-step explanation:
We have the system
[tex]y=5x-1\\y=-3x+7[/tex]
To solve the system, equate both equations and solve for the variable x.
[tex]5x-1= -3x+7\\\\5x + 3x = 7 +1\\\\8x = 8\\\\x=1[/tex]
Now substitute the value of x in any of the two equations and solve for the variable y.
[tex]y=5(1)-1[/tex]
[tex]y=4[/tex]
Finally the system of equations has one solution
A diver descends at a rate of 12 feet per minute at this rate where will the diver be in relation of surface after 4 minutes
Answer:
48 feet
Step-by-step explanation:
Distance = rate × time
d = 12 ft/min × 4 min
d = 48 ft
The diver will be 48 feet below the surface.
Answer:
-48 ft
Step-by-step explanation:
The unit rate of descent is
-12 ft
-----------
1 min
and so after 4 minutes, the diver will be 48 ft beneath the surface:
-12 ft
----------- * 4 min = -48 ft
1 min
Use a fraction stripe model to find the sum for 5 over 6 + 2 over 3.please if anybody can write the answer. Tomorrow is my exam
Answer:
0.94
Step-by-step explanation:
5/6 +2 /3= 2 5/6 /3= 2.83/3= 0.94