If f(x) = x2, and
g(x) = x – 1, then
g(f(x)) = x[? ] +[ ]
Answer:
[tex]g(f(x)) = x^{[2]} +[-1][/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) =x -1[/tex]
Required
[tex]g(f(x))[/tex]
We have:
[tex]g(x) =x -1[/tex]
Replace x with f(x):
[tex]g(f(x)) = f(x) -1[/tex]
Substitute [tex]f(x) = x^2[/tex]
[tex]g(f(x)) = x^2 -1[/tex]
Hence:
[tex]g(f(x)) = x^{[2]} +[-1][/tex]
Ben says that 150 is a term in the sequence 3,9,15,21,27,... Ben right? Explain your answer
Answer:
No, Ben is not right.
Step-by-step explanation:
If we check the sequence of the numbers given, we can find that all of them is the odd multiple of the number three, i.e,
3,9,15,21,27.......
=> 3 (1,3,5,7,9......)
But 150 divided by 3 gives, 50, which is not an odd number, therefore, it will not come in this sequence.
Hope you understand.
Please mark it as the brainliest.
Thank You
No, Ben is not right. there is no term in the given sequence with a value of 150.
What is an arithmetic sequence?The difference between every two successive terms in an arithmetic series is always the same. The number "a" is the first term, and "d" is the common difference between the sequence. The nth term of an arithmetic sequence is given by. aₙ = a + (n – 1)d
The sequence given is an arithmetic sequence with a common difference of 6 since each term is 6 more than the previous one.
To find out if 150 is a term in the sequence, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1)d
where an is the nth term, a₁ is the first term, n is the number of the term we want to find, and d is the common difference.
Plugging in the values we know:
a₁ = 3
d = 6
To find n, we can use:
aₙ = 150
So, we have:
150 = 3 + (n - 1)(6)
Simplifying:
147 = 6n - 6
153 = 6n
n = 25.5
Since n is not a whole number, 150 is not a term in the sequence.
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The final three questions
5×45= 225
12×23= 276
276+225= 501
the answer is 501 ^^
Answer:
501
Step-by-step explanation:
my brain duh big brain me little brain you
4x + 6 = 30
What is the solution to the equation?
A. X= 4
B. X= 9
C. X = 6
D. X = 24
Nee
Answer:
x<-4
Step-by-step explanation:
Find the value of x. Round the lengths to the nearest tenth of a unit.
Please help!
Answer:
the other angle equal 52
we can use the specail trangle 3 4 5
300 400 500
the 38 degrees angle meet 300
and the 52 degrees angle meet 400
so the answer is 300 i dont know if you understand but i hope you are
pls ask in the comments and i will try to explain because my ebgilish the baddest
Y-intercept = -4
• Slope = -1
2
y
10
9
8
2
6
5
4
3
2
-10
-9
-8
-7
-6
-5
- 4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
First point: -4 on y axis.
Second point: (2, -5)
Step-by-step explanation:
When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept
y = mx + b
y = [tex]-\frac{1}{2}x-4[/tex]
Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.
Polygons Determine the measure of one through 12
Answer:
And there are twelve angles... So, the measure of the interior angle of a regular dodecagon is 150 degrees.
Step-by-step explanation:
15. Solve for the specified variable:
-
х
+
7 8
- 10; for y.
Answer:
[tex]y=80-\frac{8x}{7}[/tex]
Step-by-step explanation:
15). Given equation is,
[tex]\frac{x}{7}+ \frac{y}{8}=10[/tex]
Multiply the equation by 8,
[tex]8(\frac{x}{7}+ \frac{y}{8})=10\times 8[/tex]
[tex]\frac{8x}{7}+y=80[/tex]
Subtract [tex]\frac{8x}{7}[/tex] from both the sides of the equation,
[tex]\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}[/tex]
[tex]y=80-\frac{8x}{7}[/tex]
Therefore, value of the variable 'y' will be,
[tex]y=80-\frac{8x}{7}[/tex]
Which graph shows the solution set for 2x+3>-9?
-1 0 1 2
83-854-32-1012
BB5432-1012
Answer:
pretty sure it's the 4th one
Step-by-step explanation:
the answer is x>-6
so x is greater than negative 6
En un experimento en el laboratorio, se
midió el tiempo que tardaba en derretirse
un cubo de hielo. A una temperatura de
60°F, el cubo tardó 1.5 horas en
derretirse. A una temperatura de 90°F, el
cubo se derritió en 1 hora.
¿Cuál explicación de k, la constante de
proporcionalidad en la relación entre
tiempo y temperatura, es CORRECTA?
Which statement must be true?
A. X
B. X=y
C. x >y
D. No relationship between x and y can be determined from the information given,
ILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
The statement true about the triangles is x < y
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔDEF
And , the measure of ∠ABC = x°
The measure of ∠DEF = y°
The measure of side AC = 15 units
The measure of side DF = 20 units
For a triangle , the longest side in a triangle is always opposite the largest angle, and the shortest side is opposite the smallest angle
Hence , the angle ∠DEF > ∠ABC of the triangle ( x < y )
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is this true or false
Answer:
False
Step-by-step explanation:
Put these in order from least to greatest!: 6.879, 137/20, 6 10/11, 5.89
Thank you!!
When is ur last day of school
Step-by-step explanation:
Supposed to be next Thursday but I get off this week since I finished half of my classes already.
Answer:
Next Friday so...May 28th
Step-by-step explanation:
A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of change? A. 1/2 B. 2 C. 5 D. 20
Answer:
Average Rate of change = 2
Step-by-step explanation:
Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.
To find - What is the rabbit's average rate of change?
Formula used -
Average rate of change of a function f(x) in an interval [a, b] is [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Proof -
Given that,
In 1 second - Rabbit hoops 8 meters
In 7 seconds - Rabbit hoops 20 meters
So,
Average Rate of change = [tex]\frac{20 - 8}{7 - 1}[/tex]
= [tex]\frac{12}{6}[/tex]
= 2
⇒Average Rate of change = 2
A tank contains 40 gallons of a solution composed of water and bleach. At the start there are 4 gallons of bleach in the tank. A second solution containing half water and half bleach is added tothe tank at the rate of 4 gallons per minute. The solution is kept throughly mixed and drains from the tank at the rate of 4 gallons per minute.
(a) How much blcach is in the tank after t minutes?
(b) Will there be at least 14 gallons of bleach in the tank after 10 minutes?
(c) How much bleach will there be in the tank after a very long time has passed?
Answer:
a) x* e∧ t/10 = 20 *e∧ t/10 + 2
b) x = 14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank
c) After a very long time we will find 20 gallons of bleach in the tank
Step-by-step explanation:
The variation of bleach in water in the tank is Δ(x)t:
Δ(x)t = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt
Now the amount of x added to the tank is:
Rate of adding* the concentration
Rate of adding = 4 gallons per minute
Concentration half and half ( water + bleach) = 0,5
Rate of draining = 4 gallons per minute
Concentration of draining: Unknown but can be expressed as:
x(t)/40. According to this
Δ(x)t = [4 * 0,5 - 4 * x(t)/40]*Δt
Dividing by Δt on both sides of the equation and tacking limits we get
dx/ dt = 2 - x / 10
dx/dt + x/10 =2
Multyiplying by e∧ t/10 on both sides
e∧ t/10* [ dx/dt + x/10 ] = 2 *e∧ t/10
To solve it, integrating the first member is
x* e∧ t/10 = 20 *e∧ t/10 + C
for initial condition t = 0
4 = 20 + C
C = -16
a) x* e∧ t/10 = 20 *e∧ t/10 - 16
b) in 10 minutes
x* e∧ t/10 = 20 *e∧ t/10 - 16
x *e = 20*e - 16
x = 20 - 16/e
x = 20 - 16/2,718
x = 20 - 5,88
x = 14,2 gallons.
c) After a very long time we will find 20 gallons of bleach in the tank
What data display would be best for the numbers and types of different species of fish
Answer:
Bar Chart
Step-by-step explanation:
The Bar graph is has immense capability in the aspect of data visualization. It is capable of grouping data into different categories, such as in the scenario above, where fishes are grouped based on species. These groups are then represented as vertical bars displaying the number of these species of fish. With this we can make comparison and inferences regarding the maximum, minimum and other summary statistics about the distribution.
if 8.7%, of the 210,000,000 american are unemployed,how many Americans are unemployed?x
Answer:
it would be 45%
Step-by-step explanation:
Answer:
18,270,000 Americans
Step-by-step explanation:
8.7 x 210,000,000 = 1827000000
take 2 zeros out of 1827000000
18,270,000
To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual salary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013). The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress.
Job Average Annual Salary ($1000s) Stress Tolerance
Art directors 81 69
Astronomers 96 62
Audiologists 70 67.5
Dental hygienists 70 71.3
Economists 70 63.3
Engineers 92 69.5
Law teachers 92 62.8
Optometrists 100 65.5
Political scientists 98 60.1
Urban and regional planners 102 69
Required:
Draw scatter diagram for these data with average annual salary as the independent variable.
Answer:
Y = -0.09594X + 74.35629
Step-by-step explanation:
Given the data :
Job average annual salary (X) :
81
96
70
70
70
92
92
100
98
102
Stress tolerance (Y) :
69
62
67.5
71.3
63.3
69.5
62.8
65.5
60.1
69
Using technology, the linear model Obtian by fitting the given data is :
Y = -0.09594X + 74.35629 ;
Where ;
Y = stress tolerance (dependent variable)
X= Average annual salary (Independent variable)
Slope = 0.09594
Intercept = 74.35629
find the area of the figure
area: units2
Answer:
Area of the figure = 25 square units
Step-by-step explanation:
Area of the given figure = Area of ΔCDE + Area of rectangle BCEI + Area of ΔABH + Area of GIF
Area of ΔCDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(CE)(DK)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 units²
Area of rectangle BCEI = Length × Width
= CE × EI
= 8 × 1
= 8 units²
Area of ΔABH = Area of ΔGIF = [tex]\frac{1}{2}(1)(1)[/tex]
= [tex]\frac{1}{2}[/tex] units²
Area of the complete figure = 16 + 8 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
= 25 units²
please help me i will mark brainliest pls i have been doing thhis for hours and i neede to pass the 7th grade
Answer:
521, 400
Step-by-step explanation:
with the 1cm= 100m scale
6.6cm= 660m
7.9cm=790m
so the area would be 660×790
which is 521,400 meters squared
What additional piece of information
would prove ALMK = ANMK by
Side-Angle-Side?
Answer:
MK bisects <LKN
Step-by-step explanation:
We can already say two sets of sides are equal; LK = NK because it is given and MK = MK because of reflexive property. In order to use Side-Angle-Side, we need to prove the angles between the sides are congruent. This means <LKM and <NKM. The only option that would help is with the is the lat option, MK bisects <LKN because, then we could say <LKM and NKM are congruent because MK would be an angle bisector. This is exactly what we want, so the answer is MK bisects <LKN.
Based on the survey results, which is true about the t-shirts Mrs. Hanson should order?
Mrs. Hanson should order equal numbers of each type of shirt.
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Less than 25% of Mrs. Hanson's order should be polo shirts.
Mrs. Hanson should order 50% fewer v-neck shirts than polo shirts.
Answer:
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Step-by-step explanation:
Answer:
Mrs. Hanson should order about 2.5 times as many crew neck shirts as raglan shirts.
Step-by-step explanation:
What is the midline of this function? y=
What is the amplitude of this function? Define a function, g, to represent the behavior of the graphed function. g(a)=
NO LINKS.
Answer:
Midline is at y = 0
Amplitude is; A = 1.5
g(a) = 1.5 sin 0.5x
Period = 4π
Max value; y = 1.5
Min value; y = -1.5
Step-by-step explanation:
From the graph, we know that amplitude is highest point of the graph which is 1.5.
Thus, A = 1.5
Now,period from the graph is distance between where the graph repeats which in this case is 2π + 2π = 4π
Now, equation of this curve is;
y = A sin(B(x + C)) + D
Where;
A is amplitude
B is 2π/period = 2π/4π = ½
C is phase shift
D is vertical shift
The function g(a) that will represent the behavior of the graphed function would be gotten by Plugging in the relevant values but in this case, there are no phase shifts or vertical shifts. Thus, C = D = 0
g(a) = 1.5 sin 0.5x
Midline is the point between the maximum and minimum values.
Max value is at y = 1.5
Min value is at y = -1.5
Midline of both from the graph is at x = -π/2 which is at y = 0
PLEASE HELP!!!
Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2
Answer:
496 cm²
Step-by-step explanation:
Area of polygon :
A = 1/2(p * a)
P = perimeter
a = apothem
Perimeter = 5s (pentagon)
s = side length = 18
P = 5 * 18 = 80 cm
a = 12.4
A = 1/2(80 * 12.4)
A = 1/2(992)
A = 496 cm²
The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on research data, the claim is made that from the time shoots are planted 90 days on average are required to obtain the first berry. A corporation that is interested in marketing the product tests 60 shoots by planting them and recording the number of days before each plant produces its first berry. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed. What are the correct hypotheses?
a) H0:μ≠90
H1:μ=90
b) H0:μ=90
H1:μ≠90
c) H0:μ=92.3
H1:μ≠92.3
d) H0:p=92.3%
H1:p≠92.3%
e) H0:p=90%
H1:p≠90%
Answer:
b) H0:μ=90, H1:μ≠90
Step-by-step explanation:
The corporation wants to know if the mean number of days is different from the 90 days claimed.
This means that at the null hypothesis, we test if the mean number is the claimed value of 90, and so:
[tex]H_0: \mu = 90[/tex]
The corporations wants to know if the mean number is different, and thus, at the alternate hypothesis, we test if the mean number is different from 90, that is:
[tex]H_1: \mu \neq 90[/tex]
This means that the correct answer is given by option b.
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answer:
the correct answer is 1ft
Step-by-step explanation:
4ft-3ft
=1ft
ABCD is a parallelogram. Find x and the length of CD.
Answer:
3×+9=5x-5
-2×=-14
×=7...thenCD=3(7)+9=30
-9 (-2) please answer
Answer:
18
Step-by-step explanation:
You can multiply 9 x 2 like normal to get 18. Then you look at the signs. They are both negative, meaning their product is positive, making the answer 18.
Jason has $6,700 in his bank account. He withdraws $1,900 from his bank account o pay for rent. Brett books a vacation 3-days later that costs $4,000. He withdraws $3,500 from his account and goes on a payment pay for the remainder
Answer:
thers no question
Step-by-step explanation: