Answer:
f(g(-64)) = -190
Step-by-step explanation:
The functions are not well written.
Let us assume;
f(x) = x+1
g(x) = 3x+1
f(g(x)) = f(3x+1)
Replace x with 3x+1 in f(x)
f(g(x)) = (3x+1) + 1
f(g(x)) = 3x + 2
f(g(-64)) = 3(-64) + 2
f(g(-64)) = -192+2
f(g(-64)) = -190
Note that the functions are assumed but same method can be employed when calculating composite functions
Using composite functions, it is found that:
[tex](f \circ g)(-64) = -8[/tex]The composite function of functions f(x) and g(x) is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Researching the problem on the internet, it is found that the functions are:
[tex]f(x) = (x + 1)^3[/tex]
[tex]g(x) = \sqrt[3]{x} + 1[/tex]
Then, the composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(\sqrt[3]{x} + 1) = (\sqrt[3]{x} + 1 + 1)^3 = (\sqrt[3]{x} + 2)^3[/tex]
At x = -64, we have that:
[tex](f \circ g)(-64) = (\sqrt[3]{-64} + 2)^3 = (-4 + 2)^3 = (-2)^3 = -8[/tex]
Hence:
[tex](f \circ g)(-64) = -8[/tex]To learn more about composite functions, you can take a look at https://brainly.com/question/17684028
It takes Madison 8 minutes 13 seconds to walk around the track at school. It takes James 7 minutes 31 seconds to walk around the track. How many more seconds does it take Madison to walk around the track than James? (1 minutes = 60 seconds)
PLS HELP FASt
Answer:
32
Step-by-step explanation:
1 minute and 22 seconds
Rewrite the equation by completing the square.
x² +3x -28 = 0
Answer:
x = -7 and x = 4
Step-by-step explanation:
that's the answer
Martin spent $2.60 on his lunch. Sandwiches cost $1.25. Milkshakes cost $0.65. How much MORE does a sandwich cost than a milkshake?
Answer:
0.60 more
Step-by-step explanation:
Sandwich: 1.25
Milkshake: 0.65
We need to find the difference between the 2
1.25 - 0.65 = 0.6
A sandwich costs 60 cents MORE than a milkshake
On Monday, 248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in each bus?
Answer:
40 students in each bus.
Step-by-step explanation:
Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.
248-8=240
240/6=40
40 students in each bus.
Please help! I'm giving branniest for the correct answer! (SHOW WORK)
Answer:
102
Step-by-step explanation:
it's a parallelogram so it's BxH
A = 15x8 = 120
inside rectangle A is LxW
6x3 = 18
subtract the inside from the outside
120-18 = 102
The ratio of dogs to cats at the local
shelter is 2 to 5. There are 20 dogs at
the shelter. What is the total number
of cats and dogs at the shelter?
A. 28
B. 50
C.
70
D. 8
Need
Answer:
B 50
Step-by-step explanation:
Option 1) 2/5 = 20/x | 20/2 = 10 so x = 10 | 5 times x 10 =50
Option 2) dogs 2 to cats 5 | 2/5 = 20/x | .40 = 20/x | .40x = 20 | x = 50
Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50
In how many ways can 5 people arrange themselves in a row for picture taking ?
Answer:
120 times
Step-by-step explanation:
There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120.
HELP I’M SUFFERING FROM THESE MATH PROBLEMS I need to get them done as soon as possible. *cries* please look at my other questions to see the problems
Answer:
Ok so I'm going to put the answer like this
1 3
2 4
1. Already answered
2. Acute, isosceles, 75
3. Right, Scalene, 97
4. Obtuse, Scalene 116
Aight onto number 2
Amir subtracted a quantity from the polynomial 3x² + 8x - 16 and produced the expression x^2- 4. What quantity did Amir subtract? Explain how
you got your answer.
Answer:
[tex]2x^2+ 8x -12[/tex]
Step-by-step explanation:
Given
[tex]P = 3x^2 + 8x - 16[/tex]
[tex]Result = x^2 - 4[/tex]
Required
The quantity subtracted
Let the subtracted quantity be Q. So, we have:
[tex]P - Q = Result[/tex]
[tex]3x^2 + 8x - 16 - Q = x^2 - 4[/tex]
Collect like terms
[tex]Q = 3x^2 - x^2+ 8x - 16 + 4[/tex]
[tex]Q = 2x^2+ 8x -12[/tex]
The quantity subtracted is: [tex]2x^2+ 8x -12[/tex]
Can someone tell me the answers
Answer:
3rd one is correct
Step-by-step explanation:
Please help me with this question.
Answer:
-7
Step-by-step explanation:
hope it helps
if f(7)=20, write the corresponding ordered pair
Answer:
(7,20)
Step-by-step explanation:
Oftentimes we write [tex]y=f(x)[/tex]. This suggests that [tex]x=7[/tex] and [tex]y=20[/tex]. Therefore, the ordered pair is [tex](x,y)=(7,20)[/tex].
If x varies directly as y, find x when y = 8.
x = 14 when y = -2
X=_____
Answer:
-56 maybe
Step-by-step explanation:
-2*-7=14
8*-7= -56
a + b - b =
what is it plzz help
Answer:
a + b - b = a
Step-by-step explanation:
What is the value of x?
Answer:
707,957
Step-by-step explanation:
x= 518*tan(42°) + 518*tan(25°) =518*(tan(42°)+tan(25°))≈518*1.367=707.957
Answer:
707,957
Step-by-step explanation:
You borrow money for 4 years. The total amount you repay is $7,840, which includes $840 in simple interest. How much was the principal?
Answer:
$7,000
Step-by-step explanation:
$7,840 - $840 to get the principal value
$7000
Answer:
7000
Step-by-step explanation:
the repay amount - interest = principal
7840 - 840 = 7000
1 Write the series 3 + 6x +9x2 +12x + ... with 45 terms in sigma notation.
Answer:
Step-by-step explanation:
It looks like every time the coefficient increases by 3 while the exponent increases by 1.
[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]
Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0
The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.
The upper limit is 45 because 45 - 0 = 45 terms
Write the equation in standard form for thelcircle with center (-8, -1) and radius 4
9514 1404 393
Answer:
(x +8)^2 +(y +1)^2 = 16
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)^2 + (y -k)^2 = r^2
For your center and radius, the equation is ...
(x -(-8))^2 +(y -(-1))^2 = 4^2
(x +8)^2 +(y +1)^2 = 16
Plz help me this very important
Anyone knows the answer???
Answer:
351.9 m²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder
We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).
Plug in 4 as r and 10 as h
[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]
Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.
I hope this helps!
the total cost of a $112.75 meal with a 20% tip
Answer:
$135.30
Why:
Take the 112.75 and multiply it by 1.2, or in other words 120%. You get 135.3, or in a money situation, $135.30. Good luck.
In some 4.0 grading systems, a student's grade point average (GPA) is calculated by assigning letter grades the following numerical values.
A = 4.00 B− = 2.67 D+ = 1.33
A− = 3.67 C+ = 2.33 D = 1.00
B+ = 3.33 C = 2.00 D− = 0.67
B = 3.00 C− = 1.67 F = 0.00
Use this grading system to find this student's GPA. Round to the nearest hundredth.
Jerry's Grades, Fall Semester
Course Course Course
grade units
English A 3
Anthropology A 3
Chemistry B− 4
French C 3
Theatre B 2
Answer:
This student's GPA is 3.04.
Step-by-step explanation:
Student's GPA:
To find the students GPA, we find the sum of the multiplication of each numerical grade(A is 4, A- is 3.67 and so on) and the credit load of the course, divided by the number of courses.
His grades are:
4 in English worth 3 credits.
4 in Antropology worth 3 credits.
2.67 in Chemistry worth 4 credits.
2 in French worth 4 credits.
3 in Theatre worth 2 credits.
GPA:
[tex]\frac{4*3+4*3+2.67*4+2*4+3*2}{3+3+4+4+2} = 3.04[/tex]
This student's GPA is 3.04.
Answer:
3.04
Step-by-step explanation:
What is the area of the triangle?
Answer:
11 ½ * 4* 5.52 *5.5=11.....….Question 4
The results of the Woodlands Middle School poll show that 20% of
the students prefer the aquarium and 50% of the teachers the
aquarium.
Which of the following statements is true?
There is evidence that teachers at Woodlands Middle may prefer the aquarium
more than students.
There is not enough evidence to support a relationship between destination
preference (aquarium or amusement park) and school role (student or teacher).
Woodlands Middle may prefer the aquarium
There is evidence that students
more than teachers.
Answer:
There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students
Step-by-step explanation:
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.
Poll oftenly uses sampling.
The data obtained from the poll shows that:
20% of the students prefer the aquarium and 50% of the teachers the
aquarium.
That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.
Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Learn more about sampling here:
https://brainly.com/question/24842573
What is the radius?
What is the diameter?
What it the circumference? Use 3.14 for pi.
What is the area?
Use 3.14 for pi.
Answer:
Step-by-step explanation:
radius = 3mm
diameter = 6mm
circumference = 6 x 3,14 = 18.84 mm
area = 3^2 x 3,14 = 28.26 mm^2
The length of a rectangle is (2x-3) and the width is (x+6) which of the following is a representation of area
Answer:
(2x+3)(x+6) or 2x^2 + 15x + 18
Step-by-step explanation:
Area = Length x Width
Length = (2x-3)
Width = (x+6)
(2x-3)(x+6)
2x^2 + 12x - 3x - 18
2x^2 + 15x + 18
Final Answer: (2x+3)(x+6) or 2x^2 + 15x + 18
5 in
1 in 3 in
1 in 1 in
3 in
5 in
1 in
3 in
What is the surface area of the solid?
O A. 15 square inches
OB. 40 square inches
O C. 23 square inches
D. 46 square inches
A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?
Answer:
10.47 inches
Step-by-step explanation:
circumference = πD = 3.14(20) = 62.8 inches
62.8 inches/6 spaces = 10.47 inches per space
please help me i have the pic below: find the 27th term given the function an=-10+(n-1)(-2)
Answer:
-62
Step-by-step explanation:
Plug 27 into the equation
a27=-10+(27-1)(-2)
27-1=26
26 times -2 = -52
-52-10=-62
So
a_27
-10-2(26)-10-52-62Option D
3) -5
A) quintic monomial
B) constant trinomial
C) constant monomial
D) quadratic monomial
Answer:
Constant monomial
Step-by-step explanation:
Monomial means that there is only one term, so constant trinomial cannot be correct.
Quintic monomials have a degree of 5 and quadratic monomials have a degree of 4, but this has a degree of zero, so this must be a constant monomial.
I hope this helps you. Have a nice day.