Answer:
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
The function f(x) is continuous
Step-by-step explanation:
Explanation:-
Given that the function
[tex]f(x) = \frac{x^{2} }{x^{2} +4}[/tex]
put x = c =2
[tex]f(c) = f(2) = \frac{(2)^{2} }{(2)^{2} +4} = \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{2^{2} }{2^{2} +4} = \frac{4}{4+4} = \frac{4}{8}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
Given function f(x) is continuous
Find the percent change from the first value to the second. Round to the nearest percent.
92; 23
Answer:
Step-by-step explanation:
23-92 = -69
-69/92 = -0.75 = -75%
Marna is playing a game where you score -5 points each time you guess the correct answer the goal is to get the lowest score to win the game Marna Needs to have a score less than -80 point how many correct answers does my need to win the game
Select all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.
Which statements about this study are true?
the study uses blocking
this study uses random sampling
this study uses blinding
this study uses a control group
this study uses a repeated measures design
Answer:
this study uses random sampling
this study uses a control group
this study uses a repeated measures design
Step-by-step explanation:
plato/edmentum
Correct answers bolded and italicized and underlined
the study uses blocking
this study uses random sampling
this study uses blinding
this study uses a control group
this study uses a repeated measures design
Step-by-step explanation:
no :)
Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 
9514 1404 393
Answer:
$6475.56
Step-by-step explanation:
The maturity value is ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.
The loan value is ...
A = $6200(1 + 0.10×4/9) ≈ $6475.56
Stephen's loan has a maturity value of $6,475.56.
according to the rules of significant figures 1.25*200=300
will give brainliest pls
Answer:
It's false
Step-by-step explanation:
1.25*200=250 not 300.
If you toss five fair coins, in how many ways can you obtain at least one head?
Select one:
a. 15
О
b. 31
O
c. 16
d. 32
Answer:
31
Step-by-step explanation:
Plz mark brainliest :D
PLEASE HELP I NEED THIS
Answer:
See below.
Step-by-step explanation:
1) 3 congruent sides and 3 congruent angles: equilateral, equiangular, acute
2) 2 congruent sides and a right angle: right isosceles
3) 2 congruent sides and an obtuse angle: obtuse isosceles
4) 1 obtuse angle and all different lengths of sides: obtuse scalene
5) 1 right angle and all different side lengths: right scalene
6) 2 congruent sides, all acute angles: acute isosceles
7) x + 2 = 10
x = 8
8) 10x + 3 + 10x + 3 + 34 = 180
20x + 40 = 180
20x = 140
x = 7
IS THERE ANYONE THAT CAN HELP ME WITH THIS? 40 POINTS AND BRAINLLEST FOR A RIGHT ANSWER PLEASE ANYONE?
Evaluate the expression.
Answer:
33
Step-by-step explanation:
So we substitute the numbers for the variable and we get 24 + 36/4. This 24 + 9 which equals 33. So the answer is 33. I hope this helped!
Write the sum of unit fraction for 2/3
A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form
Complete the last row for a different batch size that hasn’t been used so far in the table. Explain or show your reasoning.
How many total outcomes of desserts are possible?
A) 4
B) 14
C) 24
D) 34
Answer:
the answear is C because if you multiply the last two boxes you get 24
Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
x = 8.1°
Step-by-step explanation:
Reference angle = x
Opposite side = 153 ft
Adjacent side = 1071 ft
Applying trigonometric ratio (TOA), we have:
[tex] tan(x) = \frac{opp}{adj} [/tex]
[tex] tan(x) = \frac{153}{1071} [/tex]
[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]
[tex] x = 8.1 degrees [/tex] (nearest tenth)
-4x = 8
what is it??
Answer: if your solving for x it’s -2
Step-by-step explanation:
Answer:
x is -2
Step-by-step explanation:
because -4 x -2 is 8
Which of the following is the constant in the equation below:
16x + 42 = 78
16x
16
42
78
Find the missing length in the right triangle.
Answer:
10 ft
Step-by-step explanation:
By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.
[tex]6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?[/tex]
Answer: 10ft
Step-by-step explanation:
Pythagorean Theorem- In a right triangle, a²+b²=c² where: (image attached)
a=6ft ; b=8ft
6ft²= 36ft ; 8ft²= 64ft
36+64=100ft
√100= 10ft
the ratio of the angle measures of a triangle are 3:3:4 what angle measures the triangles classification
Step-by-step explanation:
sum of the ratio=3+3+4=10
now,
angle I = 3/10×180=54
angle II= 3/10×180=54
angle III=4/10×180=72
that shows th given triangle is isoceles
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = x + 12
Step-by-step explanation:
y -16 = 1(x-4)
y -16 = x -4
y =x +12
Answer:
its y = x + 12 I think I hope it helps
Step-by-step explanation:
because
4 + 12= 16
5 + 12 = 17
6 + 12 = 18
7 + 12 = 19
Andrew wants to buy new shirts for his job.
Andrew wants to buy at least 5 new shirts to wear to his new job.
Short sleeve shirts cost $14 each and long sleeve shirts cost $18 each.
Andrew wants to spend no more than $100.
Which system of inequalities can be used to find how many short sleeve shirts, x, and how many long sleeve shirts, y, he can buy?
Answer:
my anm,e is andrew and i dont have a job :/
Step-by-step explanation:
Answer:
x + y ≤ 5
14x + 18y ≥ 100
Step-by-step explanation:
just trust me
never trust strangers
What is the coefficient in the following expression
5+3x+ (-3)
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is the number that is grouped with an unknown number represented by a letter.
NEED HELP ASAP !!! Mr. Sanchez's class sold fruit pies for $1.65 each and Mr. Kelly's class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work (b) Which class earned more money? (c) How much more money did that class earn?
Answer:
Mr. Kelly's class old more and 11.455 more then the other class
Step-by-step explanation:
i used a calutor
Some one already answered this, heres the link to the answer:
brainly.com/question/19662350?referrer=searchResults&exp=25-1
derive
Sinxy = x² + 2xy
Answer:
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Step-by-step explanation:
Step(i):-
Given
sin xy = x² + 2xy ...(i)
Apply
[tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]
[tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]
Differentiating equation (i) with respective to 'x', we get
[tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]
[tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.
Answer:
t(x) = 6x + 438
Step-by-step explanation:
The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.
Note that the first function is fixed and doesn't actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.
// combining the two functions
t(x) = 450 + 6(x − 2)
// simplification
t(x) = 450 + 6x − 12
t(x) = 450 + 6x − 12
// the simplified function is
t(x) = 6x + 438
Find the sale price of a $70 item after a 20% discount.
Answer:
$56
ez
Step-by-step explanation:
Two sides of a right triangle measure 2 units and 4
units.
What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared
Hey there!
The answer is √20 or approximately 4.47
We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:
[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]
Have a terrifcly amazing day!
Write an equation in slope intercept form for the line that passes through (0,4) and is parallel to y=3x-7
Find the cosine of <G
Answer:
cos G = 3/5
Step-by-step explanation:
cos = adjacent sides/ hypotenuse
cos G = FG/ GE
cos G = 3/5
To test the effectiveness of an exercise program in reducing high blood pressure, 15 participants had their blood pressures recorded before beginning the program and again after completing the program. The difference (after minus before) in blood pressure was recorded for each participant, and the sample mean difference was calculated. A hypothesis test will be conducted to investigate whether there is convincing statistical evidence for a reduction in blood pressure for all who complete the program. Which of the following is the correct set of hypotheses?
A. H0 : bar xD = 0
Ha : bar xD is not equal to 0
B. H0 : bar xD = 0
Ha : bar xD > 0
C. H0 : mu D = 0
Ha : mu D is not equal to 0
D. H0 : mu D = 0
Ha : mu D > 0
E. H0 : mu D = 0
Ha : mu d < 0
Answer:
E.
H0 : mu D = 0
Ha : mu d < 0
Step-by-step explanation:
The hypothesis is to test if there is a reduction in blood pressure for those who complete the program, this means if the mean difference in blood pressure (that is after - before) is less than 0. Here, the hypothesis is the alternative side while the opposite, that is, there is no difference in blood pressure before and after is the null.
This means :
H0 : μD = 0
Ha : μD < 0
You can use the definitions for null and alternate hypotheses
The correct set of hypothesis is given by:
Option E. [tex]H_0: \mu_D = 0[/tex]
[tex]H_a: \mu_D < 0[/tex]
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
How to find the correct set of hypothesis for the given situation?Since the test is to test the effectiveness of the exercise program, thus the wish of the tester is to get the result that effectiveness is there. This will be the alternate hypothesis and the null hypothesis will be that there is no difference in the blood pressure before and after the exercise. Thus, we will test against the null hypothesis.
Since the evidence is to be found for all of the people who completed the program, thus it is hypothesis about population perimeter. The average blood pressure difference of the population is denoted by [tex]\mu_D[/tex] and that of the sample is denoted by [tex]\overline{x}_D[/tex]
Thus, we have:
Null hypothesis = the difference in average blood pressure before and after the program of the population is not changed(thus 0 is the difference) = [tex]H_0: \mu_D = 0[/tex]
Alternate hypothesis = the difference in average blood pressure is reduced(since the test is for seeing if the blood pressure is reduced or not) = [tex]H_a: \mu_D < 0[/tex]
Thus,
The correct set of hypothesis is given by:
Option E. [tex]H_0: \mu_D = 0[/tex]
[tex]H_a: \mu_D < 0[/tex]
Learn more about null and alternative hypothesis here:
https://brainly.com/question/18831983
What is 4w^2? Plz answer!!!
Your new computer cost $1,500, but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years?
Answer: Nothing or 0