Given f(x) = 2x + 1 and g(x) = 2 ^ (x - 2) What is f(4) - g(5)

Answer: $13.30

Step-by-step explanation:

price of nails = $1.30/lb

price of washers = $0.80/lb

price of bolts = $2.50/lb

The total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts will be:

= (2 × $1.30) + (4 × $0.80) + (3 × $2.50)

= $2.60 + $3.20 + $7.50

= $13.30

The total cost is $13.30

Answer:

1,138 is the volume but I don't know how to find the surface area

Answer:

D

Step-by-step explanation:

Range is all the possible Y values in a graph

we can see that the graph will never reach a y value greater than three but will go to negative infinity

This means that answer is D (the y value will always be less than or equal to 3)

Answer:

x = 60

Step-by-step explanation:

The question is asking

$14,700 * (1 - 8%)^x = $100

$14,700 * (1 - 0.08)^x = $100

$14,700 * (0.92)^x = $100

(0.92)^x = $100/$14,700

log(0.92^x) = log($100/$14,700)

x * log(0.92) = log(0.0068027)

x = log(0.0068027)/log(0.92)

x = 59.85

Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.

Answer:

1/4 L

Step-by-step explanation:

2 1/2=10/4  10/4*3/4=30/16= 1 7/8

1 7/8=15/8        10/4*2=20/8          20/8-15/8=5/8

5/8-3/8=2/8 or 1/4 L

Answer: 1/4 L

In bottle 1/4 of chlorine solution is left in bottle.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.

And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.

Now,

Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8

                                        = 5 / 2 × 1/4 - 3/8

                                        = 5 / 8 - 2 / 8

                                        = 1 / 4

Thus, In bottle 1/4 of chlorine solution is left in bottle.

Learn more about the mathematical expression visit:

https://brainly.com/question/3624808

#SPJ2

The complete question is this;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?

Answer:

c or take the square root of both sides

a or 2 inches

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Every integer is a rational number; a whole number. The square root of 49 equals 7, which is the only outcome giving an integer as an answer.

Answer:

50 km/hr

Step-by-step explanation:

D = RT

Time for first part of trip = 80/60 = 4/3 hr.

Time for second part of trip = 20/30 = 2/3 hr.

total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.

Total distance = 100 km

Average rate of speed for entire trip = 100/2 = 50 km/hr

Answer:5x3= 15

The tickets were $15 in total

28-15= 13

13:3= 4’3

Each bag of candy was $4’3

Step-by-step explanation:

Answer:

Brainlyest answer plz

Answer:

IJ=77

Step-by-step explanation:

[tex]\frac{35}{20} =\frac{IJ}{44}[/tex]

[tex]20IJ=1540[/tex]

[tex]IJ=77[/tex]

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

Answer:

-6x5 + 7x4 - 5x2

Step-by-step explanation:

Answer:

6x5=30+7×4=38 combined it equals 58 5x2=10 58-10=48

Answer:

[tex]y=\frac{1}{2} x-\frac{5}{2}[/tex]

Step-by-step explanation:

Hi there!

Note that:

1) Determine the slope (m)

When we look at the given line, [tex]y=-2x-1[/tex], we can identify that -2 is in the place of m, the slope of the line. Because perpendicular lines are negative reciprocals of each other, we know that a line perpendicular to this would have a slope of [tex]\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{2} x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{2} x+b[/tex]

Plug in the given point (1,-2)

[tex]-2=\frac{1}{2}(1)+b\\-2=\frac{1}{2}+b[/tex]

Subtract 1/2 from both sides

[tex]-2-\frac{1}{2}=\frac{1}{2}+b-\frac{1}{2}\\-\frac{5}{2} = b[/tex]

Therefore, the y-intercept of the line is [tex]-\frac{5}{2}[/tex]. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]

[tex]y=\frac{1}{2} x-\frac{5}{2}[/tex]

I hope this helps!

Answer:

B

Step-by-step explanation:

Mark me as brainllest

Answer:

Step-by-step explanation:

Positive: -1/-3, -2/-2, +2/+3, -1/+3

the rest of them are negative

Answer:

Positive: 1+/+3  -2/-3  +2/+3  -1/-3 negative:-2/+3 +2/-3  -1/+3  +1/-3

Step-by-step explanation:

Answer:

Laura needs to try 36 more times before the lock is sure to open.

Step-by-step explanation:

Alright, with a three digit lock, there are 9 possible numbers for each digit:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Since the first one is 3, lets move onto the second digit, which is prime.

Of the numbers between 1-9,

2, 3, 5, and 7 are prime.

With the last digit, it can be any number 1-9.

With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.

Answer:

the first answer

Step-by-step explanation:

well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT

Answer:

x=1/2 and x=-3/2

Step-by-step explanation:

5(2x+1)^2+6=26

5(2x+1)^2=20

(2x+1)^2=4

2x+1=±2

Now make two equations and solve both for x:

2x+1=2

2x=1

x1=1/2

2x+1=-2

2x=-3

x2=-3/2

Answer:

Step-by-step explanation:

On your calculator go to stat-edit and enter the table. Press stat and go over to calc then press 4 and hit calculate it will give you the answer.

The slope of the line that is these data is 0.03 or 3/100

The correct option is (B).

The slope of a line is a measure of its steepness.

Given that:

Time              Distance

50                       1.5

200                      6

350                    10.5

400                      12

650                    19.5

Let us take,

[tex]x_1[/tex]=1.5, [tex]x_2[/tex]= 6, [tex]y_1[/tex]= 50, [tex]y_2[/tex]= 200

Slope of line, m= Δy/Δx

                       m=  [tex]x_2[/tex]- [tex]x_1[/tex]/ [tex]y_2[/tex]-  [tex]y_1[/tex]

                       m=6-1.5 /200-50

                       m=4.5 /150

                       m= 45/1500= 3/100

                      m=0.03

Hence, slope of line is= 0.03

Learn more about slope of line here:

https://brainly.com/question/16180119

#SPJ2

Answer: Mean- 16.5

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Also u can search up mean, median, mode calculator and type in any numbers u want and it will give u the mean, median, mode, range and more

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Calculating the limit as n goes to infinity, it is found that:

The sequence converges to 0.

------------------------------

The sequence is given by:

[tex]a_n = \sum_{n=0}^{\infty} f(n)[/tex]

In which

[tex]f(n) = \frac{n^2 - 16}{n^3 + 4}[/tex]

------------------------------

------------------------------

The limit is:

[tex]\lim_{n \rightarrow \infty} f(n) = \lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4}[/tex]

Since it is a limit going to infinity, we consider just the terms with the highest exponents in the numerator and the denominator. Thus:

[tex]\lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4} = \lim_{n \rightarrow \infty} \frac{n^2}{n^3} = \lim_{n \rightarrow \infty} \frac{1}{n} = \frac{1}{\infty} = 0[/tex]

Thus: The sequence converges to 0.

A similar question is given at https://brainly.com/question/20553793

Answer: D The sequence converges to ∞.

Step-by-step explanation:

got it right 2022 edge