I really need some HELP.............

The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex] and this can be determined by using the arithmetic operations.

Given :

[tex]f(x) = 3x\\g(x) = 5x[/tex]

The following steps can be used in order to determine the expression of (fog)(x):

Step 1 - Write the given function.

[tex]f(x) = 3x\\g(x) = 5x[/tex]

Step 2 - Now, replace 'x' by g(x) in order to determine the expression of (fog)(x).

[tex](fog)(x)=3\;g(x)[/tex]

[tex](fog)(x)=3\times 5x[/tex]

Step 3 - Simplify the above expression.

[tex](fog)(x)=15x[/tex]

The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex].

For more information, refer to the link given below:

https://brainly.com/question/5245372

Answer:

23

Step-by-step explanation:

55 = 23 + 32

14 and 41 came into my d, but 1 and 4 are 3 apart from each other

(would really appreciate the brainliest)

Answer:

Step-by-step explanation:

The formula for calculating the nth term of an arithmetic sequence is given as;

Tn = [tex]a+(n-1)d[/tex]

a is the first term

n is the number of terms

d is the common difference

If  two terms of an arithmetic sequence are a12=70 and a30=124 then;

T12 = a+(12-1)d = 70

T12 = a+11d = 70...(1)

T30 = a+(30-1)d = 124

T30 = a+29d = 124...(2)

Solving equation 1 and 2 simultaneously to get a and d;

Taking the difference of both equation we have;

29d - 11d = 124-70

18d = 54

d = 54/18

d = 3

Substituting d=3 into equation 1 to get the value of 'a' we have;

a+11(3) = 70

a+33=70

a = 70-33

a = 37

To get the explicit rule for the nth term of the sequence, we will use the formula Tn = a+ (n-1)d where a = 37, d =3

Tn = 37+(n-1)3

Tn = 37+3n-3

Tn = 34-3n

This gives the required nth term

Answer:

I' = 197,474.47 cm^3/min

the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min

Step-by-step explanation:

Given;

Tank radius r = d/2 = 4.5/2 = 2.25 m = 225 cm

height = 11 m

Change in height dh/dt = 16 cm/min

The volume of a conical tank is;

V = (1/3)πr^2 h .....1

The ratio of radius to height for the cone is

r/h = 2.25/11

r = 2.25/11 × h

Substituting into equation 1.

V = (1/3 × (2.25/11)^2)πh^3

the change in volume in tank is

dV/dt = dV/dh . dh/dt

dV/dt = ((2.25/11)^2)πh^2 . dh/dt ....2

And change in volume dV/dt is the aggregate rate at which water is pumped into the tank.

dV/dt = inlet - outlet rate

Let I' represent the rate of water inlet and O' represent the rate of water outlet.

dV/dt = I' - O'

Water outlet O' is given as 8200 cm^3/min

dV/dt = I' - 8200

Substituting into equation 2;

I' - 8200 = ((2.25/11)^2)πh^2 . dh/dt

I' = ((2.25/11)^2)πh^2 . dh/dt + 8200

h = 3.0 m = 300 cm (water height)

Substituting the given values;

I' = ((2.25/11)^2)×π×300^2 × 16 + 8200

I' = 197,474.47 cm^3/min

the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min

Answer:

It reduces the amount of unknowns needed for modeling.

Step-by-step explanation:

Let's first look at the characteristics of poisson distribution.

The Poisson distribution has the following characteristics:

1. It is a discrete distribution.

2. The occurrences in each interval can range from zero to infinity.

3. Each occurrence is very independent of the other occurrences.

4. It helps describes discrete occurrences over an interval.

5. It reduces the amount of constant and unknown needed for modeling an equation.

Answer:

Average Rate of Pay = $ 5.23 /hr

Step-by-step explanation:

We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:

x (Hours) =   12      13      16      17       20

y ($)         =  54     56     65     64     100  

The statistical data calculated is:

∑x = 78,   ∑x² = 1258,   ∑y = 339,  ∑xy = 5504,   n = no. of data points = 5

Now, we use linear regression model to fit a straight line to this data.

y = a + bx   --------- eqn (1)

where,

b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]

b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]

b = 5.23

and,

a = (∑xy - b∑x²)/∑x

a = [5504 - (5.23)(1258)]/78

a = -13.83

Therefore, eqn (1) becomes:

y = -13.83 + 5.23x

The graph plot of this straight line fit is provided in the attachments.

Now, we derivate the equation with respect to x, to get the average rate of pay:

Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)

Average Rate of Pay = $ 5.23 /hr

Answer:

-3x^3 + x^2 + 4x +6

Answer is C

Step-by-step explanation:

Answer: -3x^3 + x^2 + 4x +6

Answer is C

Step-by-step explanation:

Answer:

3/4 , 3

Step-by-step explanation:

Let one number = x

Other = 4x

Sum:

x + 4x = 15/4

5x = 15/4

x = 3/4

Thus the numbers are 3/4 , 3

Answer:

26.31 units

Step-by-step explanation:

Given: Points [tex](-10,12),(-6,-14)[/tex]

To find: Distance between the given points

Solution:

Let [tex](x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)[/tex]

The distance formula is used to find the distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex]

According to distance formula,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{(-6+10)^2+(-14-12)^2}\\ =\sqrt{16+676}\\ =\sqrt{692}\\ =26.31[/tex]

So, distance between the given points is 26.31 units

Answer:

19.5 in²

Step-by-step explanation:

Area of rhombus tile = side × height

Area = 3 × 6.5

Area = 19.5 in²

A rhombus, like any parallelogram, has area equal to base times height,

that's 3×6.5 = 19.5 square inches

Answer: 19.5

Answer:

$675.00

Step-by-step explanation:

4500 x 0.05 x 3 = 675

Answer:

the correct answer is 35 / 37

Answer:

5 seconds

Step-by-step explanation:

(60 / seconds = GPM)

60 / 5 = 12 GPM

12 GPM = 60 seconds

Simplified

1 Gallon is 5 seconds

Answer:

5

Step-by-step explanation:

Answer:

The correct option is;

D. 30 and 40

Step-by-step explanation:

Here, we have that the rhombus is a quadrilateral with equal and parallel sides hence the length of the diagonals will be

2 × 25×sinθ  and 2 × 25× cosθ

Therefore tanθ = (2 × 25×sinθ)/(2 × 25× cosθ) = (sinθ)/(cosθ)

Therefore, the root of the sum squares of both diagonals = 50

Therefore, we analyze each of the options as follows

For A. we have √(22² + 40²) = 45.65 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For B. we have √(26² + 36²) = 44.41 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For C. we have √(26² + 48²) = 55.59 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For D. we have √(30² + 40²) = 50 therefore these are possible lengths of diagonals of the rhombus in question.

Answer:

im so sorry

Step-by-step explanation:

Answer:

(1/3)*(5 1/2) = 1.83333333333 or 1.8

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

A graph is a function if any vertical line intersects points on the graph only once. The graph of A is a function.

__

Ordered pairs represent a function if no x-value is repeated. In the list of B, the x-value -1 shows up twice. The list of B is not a function.

__

As with ordered pairs, a table represents a function if no x-value is repeated. In the table of C, the x-value 3 shows up twice. The table of C is not a function.

__

A mapping diagram represents a function if each x-value is only mapped to one y-value. In the map of D, the x-value 3 is mapped to two different y-values. The map of D is not a function.

Answer:D

Step-by-step explanation:

Answer:

4600 tenths as a Fraction

Since 4600 tenths is 4600 over ten, 4600 tenths as a Fraction is 4600/10.

4600 tenths as a Decimal

If you divide 4600 by ten you get 4600 tenths as a decimal which is 460.00.

4600 tenths as a Percent

To get 4600 tenths as a Percent, you multiply the decimal with 100 to get the answer of 46000 percent.

4600 tenths of a dollar

First we divide a dollar into ten parts where each part is 10 cents. Then we multiply 10 cents with 4600 and get 46000 cents or 460 dollars and 0 cents.

Step-by-step explanation:

Hope this helped!

Stay safe!!!

Answer:

Step-by-step explanation:

To answer this, multiply 4600 by 10:  46000.  There are 46000 tenths in 4600.

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

Answer:

B

Step-by-step explanation:

In the attached file

Answer:

(x + 5) (x - 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (-2x) into two terms that can be added to get -2x, and multiplied to get -35:

[tex]x^2[/tex] - 2x - 35

[tex]x^2[/tex] - 7x + 5x - 35

Group:

([tex]x^2[/tex] - 7x)  (5x - 35)

Take out GCF (Greatest Common Factor):

x(x - 7)  5(x - 7)

(x + 5) (x - 7)

Answer:

Figure D

Step-by-step explanation:

Point Symmetry is when every part has a matching part: the same distance from the central point. but in the opposite direction. Hope this helps! :)

Answer:

27

Step-by-step explanation:

Because if it is halfway, that means

halfway=1/2

1/2=1/2 of 54

54/2 or 1/2 of 54=27

PLS MARK ME BRAINLIEST I NEED IT PLEASE

The center of the sign will be 27 feet apart from both ends of the bridge.

Given that,
A footbridge has a span of 54 feet. A sign is to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,

Since the bridge is 54 feet long,
Now at the center of the bridge, a sign is placed,
So the distance of sign from both ends is equal to half of the total length of the bridge. i.e.
= 54 / 2
= 27

Thus, the center of the sign will be 27 feet apart from both ends of the bridge.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

3

Step-by-step explanation:

25-10/3=3

Answer:

3 movies

Step-by-step explanation:

You can pay for 3 movies because

5*3=15 and you have to pay for the membership which is 10 so

10+15=25

Answer:

B. 20

Step-by-step explanation:

5P2 is equal to 20 using the permutation formula.

Answer:

The volume of Gabe's kitchen is 680 ft^3

Step-by-step explanation:

The volume of the kitchen can be derived by multiplying the floor area of the kitchen by the height.

Volume = floor area × height

Given;

Floor area = 85 ft^2

Height = 8 ft

Substituting the given values into the equation;

Volume = 85 × 8 = 680 ft^3

The volume of Gabe's kitchen is 680 ft^3

Answer:  4

Step-by-step explanation:

Answer:

y = (1/2) x -10

Step-by-step explanation:

Perpendicular lines are lines make right angles. The slopes of perpendicular lines are opposite reciprocals !

2x + y = -7 rewrite in form y=

y = -7 -2x

slope of this line is -2

perpendicular lines are opposite reciprocals so the line p has a slope = 1/2

line p passes through (8, -6) so plug in point into equation of p and get ?

y = 1/2 x +?

-6 =1/2(8) +?

-6 =4 + ? subtract 4 from both sides

-6-4 = ?

-10 = ?

y = (1/2) x -10