Find the value of c such that lim f(x) exists.
f(x) = 4 – 0.5x. x < 2
√x+c. x > 2

Answers

Answer 1

Answer:

c=7

Step-by-step explanation:

because the limit exists and this is a piecewise function, we can assume that f(2) is a removable discontinuity and that both equations should be the same.

we can equal them to each other, plug in 2 for x and solve for c.

root(x + c) = 4 - .5x

root(2 + c) = 4 - .5(2)

root(2 + c) = 3

2 + c = 9

c = 7


Related Questions

Robert purchased 136/5 yards of fabric to make curtains. What is the amount of fabric he purchased expressed as a decimal?

Answers

Answer:

27.2

Step-by-step explanation:

all you have to do is divide the numerator by the denominator.

The amount of fabric he purchased expressed as a decimal will be;

⇒ 27.2

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

Robert purchased 136/5 yards of fabric to make curtains.

Now,

Since, Robert purchased 136/5 yards of fabric to make curtains.

Hence, It can be written as;

⇒ 136/5 = 27.2

Thus, The amount of fabric he purchased = 27.2

Learn more about the decimal number visit:

https://brainly.com/question/12715674

#SPJ2

Solve.
–51/2 + 63/4 + (-41/4)

Answers

Answer:

-20

Step-by-step explanation:

cause i did the math hope this helped :D

I used a calculator, the answer is

-20

Find the area of each circle. Round to the nearest tenth. Use 3.14 for π.

Answers

Answer:

1. 490.6 mm²

2. 14.1 ft²

Step-by-step explanation:

1. 3.14×(12.5)²= 3.14 × 156.25 =490.6mm²

2. ½×3.14×3²= 3.14×4.5= 14.1 ft²

If j ll k which could be one of the angle measures
A.25
B.37
C.60
D.84

Answers

Answer:

Hii friend

I am from India and u ??

Roshini here !!!!

the answer for this is 37

(Worth 10 points)
Please actually answer this question

Answers

Answer:

i belive the correct awnser is A

Step-by-step explanation:

9514 1404 393

Answer:

  A  figure 1

Step-by-step explanation:

The given equation is in slope-intercept form:

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

The slope and y-intercept in your equation are both 2. That means the graph crosses the y-axis at y=2 (above the x-axis), and has a positive slope (goes up to the right.

The two top graphs, figures 1 and 2, show lines with positive slope. Only figure 1 shows a graph with positive slope and a positive y-intercept.

23 and 25
how do you do the work?
find the areas of each

Answers

9514 1404 393

Answer:

  23)  35.77 in²

  25)  48.19 cm²

Step-by-step explanation:

Use the appropriate area formula with the given information.

__

23) The area of a triangle is given by the formula ...

  A = 1/2bh . . . . . base b, height h

  A = 1/2(9.8 in)(7.3 in) = 35.77 in²

__

25) The area of a parallelogram is given by the formula ...

  A = bh . . . . . . base b, height h

  A = (7.9 cm)(6.1 cm) = 48.19 cm²

_____

The height in each figure is measured perpendicular to the base. This tells you that the length 10.6 cm of the diagonal side of the triangle is not relevant to finding the area.

Answer:

23) 35.77 in2

24) 48.19cm2

HELP!! I WILL give Brainly!! LINKS WILL BE REPORTED. THANK YOU!!

Answers

Answer:

E

Step-by-step explanation:

We can see that the graph is shifted up 3 units

to do this you need to add 3 to the equaton

it's E

Find the length of side y.
y=_ft

Answers

Answer:

y= 18.582

⨝⨝⨝⨝⨝⨝⨝⨝⨝

What is 7 divided by 8360 in long division

Answers

Answer: 8.373205741626794e-4

Step-by-step explanation: Thant is what i got on my calculator

Answer:

1194 R2

Step-by-step explanation:

7 | 8360

    7          (1000)

_______

    1360

     7         (100)

_______

     660

     63      (90)

_______

       30

       28    (4)

_______________

          2  | 1194

     

Aaliyah invested $350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 20 years?

Answers

SsxcAnswer:

Step-by-step explanation:

Click on all the points that are solutions to y = x^2 - 9.

A) (0,-3)
B) (2,-5)
C) (3.-3)
D) (3,0)
E) (7,4)

Answers

9514 1404 393

Answer:

  B) (2, -5)

  D) (3, 0)

Step-by-step explanation:

I find it convenient to let a graphing calculator plot the points and the graph.

The only two points on the graph of the curve are ...

  (2, -5) and (3, 0)

Worth 10 please help

Answers

Answer:

b,c and A

Step-by-step explanation:

Answer:

Honestly I dont really know

Step-by-step explanation:

Solve the system by substitution.



9y - 6 = x
2x - 8y = 18​

Answers

Answer:

Step-by-step explanation:

What is the value of x

Answers

Answer:

awnser is 36

Step-by-step explanation:

Answer:  x = 37

Step-by-step explanation:

you can use the pythagorean theorem to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

'a' and 'b' in the equation is referring to the legs of the right triangle, or the sides adjacent to the hypotenuse (which is the side opposite the right angle)

plug in the legs into the equation and you get :

[tex]12^{2} + 35^{2} = x^{2}[/tex]

now to solve that we just square 12 and 35 and you get

144 + 1225 = [tex]x^{2}[/tex]

1369 =  [tex]x^{2}[/tex]

x = [tex]\sqrt{1369}[/tex]

x= 37

:))

(HELP FINAL EXAM) If two states are selected at random from a group of 40 ​states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement.

Answers

Answer:

With replacement, there are 1600 possible outcomes.

Without replacement, there are 1560 possible outcomes.

Step-by-step explanation:

Chosen with replacement:

State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So

40*40 = 1600

With replacement, there are 1600 possible outcomes.

Chosen without replacement:

State and chosen and is not replaced.

So, for the second state, there will be only 39 possible outcomes.

40*39 = 1560

Without replacement, there are 1560 possible outcomes.

no links I can use structure to evaluate expressions with more than one term.

A.
strongly agree

B.
agree

C.
disagree

D.
strongly disagree

Answers

I wish I could help but I don't know

HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE

Answers

Answer:

omg lol look at the picture are u that guy

Step-by-step explanation:

its me from web2.0 :KOBE2482

D its D

Find sin S, sin R,cos S, and cos R.

Answers

Answer:

sin S = 9/13

sin R= 8/13

cos S= 8/13

cos R= 9/13

Is anyone good at geometry if so can someone help me please ?

NO LINKS PLEASE

Answers

B.) 9 cm
Explanation: thats shape is a trapezoid
The formula for the area of a trapezoid is:
Base + Base divided by 2 x height

If we follow that formula, in this case it will be:
4.9 + 9.9/2 x h = 66.6
4.9 + 9.9 = 14.8
14.8/2 = 7.4

Now, we need to find the missing height.

We will divide the area (66.6 cm2) by 7.4

66.6/7.4 = 9

The missing height is 9cm2.

MARK BRAINLIEST PLS
if you have any questions, com ment me.

The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X1 - X4 represent the number of employees starting work on each shift (shift 1 through shift 4).

MIN X1 + X2 + X3 + X4

s.t. X1 + X4 ≥ 12 ........(on duty during shift 1)
X1 + X2 ≥ 15 ........(on duty during shift 2)
X2 + X3 ≥ 16 ........(on duty during shift 3)
X3 + X4 ≥ 14 ........(on duty during shift 4)
X1, X2, X3, and X4 ≥ 0

Given the optimal solution: X1* = 13, X2* = 2, X3* = 14, X4* = 0, how many workers would be assigned to shift 2?

a. 13
b. 12
c. 14
d. 15
e. 2

Answers

Answer:

d. 15

Step-by-step explanation:

Putting the values in the shift 2 function

X1 + X2 ≥ 15

where x1=  13, and x2=2

13+12≥ 15

15≥ 15

At least 15 workers must be assigned to the shift 2.

The LP model questions require that the constraints are satisfied.

The constraint for the shift 2 is that the  number of workers must be equal or greater than 15

This can be solved using other constraint functions e.g

Putting  X4= 0 in

X1 + X4 ≥ 12

gives

X1 ≥ 12

Now Putting the value X1 ≥ 12  in shift 2 constraint

X1 + X2 ≥ 15

12+ 2≥ 15

14 ≥ 15

this does not satisfy the condition so this is wrong.

Now from

X2 + X3 ≥ 16

Putting X3= 14

X2 + 14 ≥ 16

gives

X2  ≥ 2

Putting these in the shift 2

X1 + X2 ≥ 15

13+2 ≥ 15

15 ≥ 15

Which gives the same result as above.

$16000 increased by 20%



Tell me the answer plssss

Answers

Answer:

16,000, percentage increased by 20% (percent) of its value = 19,200

Step-by-step explanation:

Answer:

Hope the answer is by substracting

15999.8

Find the zeros
[tex]x^3+8x^2-20x+48[/tex]

Answers

Answer:

Graph each side of the equation. The solution is the x-value of the point of intersection.

x≈−10.37392996

Step-by-step explanation:

Please help me due today !!

Answers

The 2nd one is the answer

A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of 1.2 days. Construct a 95% confidence interval for the population's mean length of vacation. ( , ) Round your answer to two decimal digits Construct a 92% confidence interval for the population's mean length of vacation. ( , ) Round your answer to two decimal digits

Answers

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.989.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

[tex]M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

if you borrow 900 dollars for 6 years at an annual interest rate of 7% how much will you pay all together

Answers

Answer:

$963

Step-by-step explanation:

900 times 1.07=963

at party the pumpkin pie is cut into 14 slices and the cherry pies cut into seven slices if the host wants to serve identical plates that contained the same combination of pumpkin and Cherry sizes with no slices leftover what is the greatest number of plates the host can prepare

Answers

Answer:

The host can only prepare 7 plates

Step-by-step explanation:

7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)

ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED THE QUICK ONLY ANSWER IF YOU REALY KNOW !!

Answers

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

What’s the answer and how do you figure these out?

Answers

<2 = 35° because they form an S angle. S angles are alternating angles

1
ir fx) =
x+ 2, what is f(3+h)
(3+h)
O A. (x + 2)
1
O B. 3+h
1
c. (x+2)(3+h)
1
D. h+ 5

Answers

The correct answer to your question is d

two thousand twelve and thirty-two thousandths in standard form

Answers

Answer:

2012.032

Step-by-step explanation:

2012.032

2012.032

Hope this helps!
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