Answer:
[D] [tex]\displaystyle \lim_{h \to 0} \frac{[5(x + h)^2 - 2(x + h)] - (5x^2 - 2x)}{h}[/tex]
General Formulas and Concepts:
Calculus
Limits
Derivatives
Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = 5x^2 - 2x[/tex]
Step 2: Differentiate
Substitute in function [Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[5(x + h)^2 - 2(x + h)] - (5x^2 - 2x)}{h}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
What is the absolute value of -15?
A. 0
O B. 15
O C. -15
Answer:
15
Step-by-step explanation:
youre welcome have a great summer
Answer:
⭕ B. 15Step-by-step explanation:
It is in changing solving with the sign of | |
Name the vertex
does anyone know what this is called please help
Answer:
J
Step-by-step explanation:
The vertex is where the endpoint of the two rays meet
The vertex is J
Convert to percentages. List answers starting from the top. *
41%
1.836
6/50
Answer:
41% is already in percentage form.
1.836 is 183.6 %
6/50 is 12%.
Step-by-step explanation:
41% is already in percentage form, so I'm just going to leave that as it is.
1.836 has 1 whole already, so we know it's going to be more than 100%. Than we have that extra 83.6, so that would be 183.6% as a decimal.
6/50, well we divide to get 0.12, and 0.12 as a percent is 12%.
Please mark branliest, thanks!
A music store was selling a CD set at a price of $28 with a 40% discount. What was the final selling price?
Answer:
11,2$
Step-by-step explanation:
28$ — 100%
x$ — 40%
x = 28 · 40/100
11,2$
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
1570.8
Step-by-step explanation:
Radius=1/2 Diameter
V=PiR^2h
v=3.1416(10m)^2x5
v=1570
note: the answer can vary slightly depending on how many decimal points are used for Pi.
Maria has $20 to spend at the circus on popcorn and peanuts. The peanuts are $4 and the popcorn is $2. The equation 4x+2y = 20 shows the amount of peanuts, x, and amount of popcorn, y, she can buy.
Interpret the x and y intercept. (Please no links or false answers)
A start-up company is about to market a new computer printer. It decides to gamble by running commercials during the Super Bowl. The company hopes that name recognition will be worththe high cost of the ads. The goal of the company is that over 40% of the public recognize its brand name and associate it with computer equipment. The day after the game, a pollster contacts 420 randomly chosen adults and finds that 181 of them know thatthis company manufactures printers. Would you recommend that the company continue to advertise during Super Bowls
Reject the null hypothesis and come to the conclusion that there is enough evidence to imply that the percentage of adults who are familiar with the company's name is much more than 40%.
What is the null hypothesis?In order to evaluate whether the percentage of individuals who recognize the company's brand name differs considerably from the company's target of 40%, we must conduct a hypothesis test.
Let p represent the percentage of adults who can name the company's brand. The corporation hopes that more than 40% of adults will recognize its brand name, hence the alternative hypothesis is that p > 0.4.
A one-sample z-test can be used to examine this claim. The test statistic is determined as follows:
[tex]z = \dfrac{(p' - p)} { \sqrt{\dfrac{(p (1 - p)} { n}}}[/tex]
Where p is the null hypothesis value, n is the sample size, and p is the sample proportion.
In this instance, n = 420, p = 0.4, and p' = 181/420 = 0.431. With these values entered into the formula, we obtain:
[tex]z = \dfrac{(0.431 - 0.4)} { \sqrt{(0.4 \times \dfrac{0.6} { 420} }}= 1.65[/tex]
The likelihood of obtaining a z-value of 1.65 or higher is 0.0495 using a basic normal distribution table or calculator (assuming the null hypothesis is true). This is the test's p-value.
When the p-value is less than 0.05, which is considered to be significant (and corresponds to a 95% confidence level), we
Hence, based on this sample of 420 adults, we would advise the company to keep running Super Bowl advertisements as it seems to be succeeding in raising brand recognition among the general public.
To know more about the null hypothesis follow
https://brainly.com/question/15980493
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Solve the proportion [tex]\frac{X+1}{3}[/tex] = [tex]\frac{X}{2}[/tex]
A).5
B).1
C).10
D).2
An object In geometry with no width,length or height is a:
A. angle
B. line
C. point
D. ray
Answer:
C. Point
Step-by-step explanation:
a point would just be a dot on a graph and it won't have an exact height or size or shape
you can get to your friends house in an hour and a half on your electric scooter.
the scooter travels 49 MPH.
how many miles away is your friends house? (miles)
Answer:
49+49%2=73.5mile is the required answer
A picture measuring 12 cm by 15 cm. If the area of the picture and border is 340 cm, what is the width of the border to be added?
Hayden is creating triangles using plastic straws cut to various lengths for the sides. Which set of straw lengths can he use to create a scalene triangle?
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.
A scalene triangle is a triangle in which all the three sides of the triangle have different lengths hence, all the angles of the triangle also have different lengths.
Therefore the set of straw lengths that can be used a scalene triangle must have different lengths, for example:
5, 7 , 8
Halp me pleaseeeeeeeeee
Answer:
C and E
Step-by-step explanation:
Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?
A)
(x – 3)
B)
(x + 2)
C)
(x + 3)
D)
(x – 2)
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
Which of the following is equivalent to this expression?
Answer:
6^8
Step-by-step explanation:
(6^2)^3*6^2
= 6^(2*3)*6^2
= 6^6*6^2
= 6^(6+2)
= 6^8
Identify the graph of the equation (x+1)2 + (y - 3)2 = 9.
Answer:
A circle centred at (-1,3) and radius 3.
Step-by-step explanation:
Round off 2/3 correct to 2 significane figures
=====================================================
Explanation:
Use of a calculator will show that
2/3 = 0.6666...
where the 6's go on forever. Your teacher only wants 2 significant figures though. That means you'll round to the nearest hundredth to get 0.67
The 0 to the left of the decimal point is not a significant figure. The reason being is because we can rewrite 0.67 into 6.7*10^(-1); we can see the coefficient 6.7 having two sig figs.
I'm new to this and I dont really understand this
Answer:
So starting off with 1a f(4)
We simply substitute x with 4 for the function
f(4)=2(4)-5
f(4)=8-5
f(4)=3
Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).
gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.
g(4)=4^2+3
g(4)=16+3
g(4)=19
and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57
For the next two, I may be wrong, but I'm still going to try:
anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2
And then for g^-1, we'll have 1/g(x)=[tex]\sqrt{x-3} \sqrt{x-3}[/tex]
Hope I helped :)
I need help again lol
Answer:
Probably 1
Step-by-step explanation:
I'm not sure, but I would think that if we wanted to round it to 5,000, we would want the number to be as close to 5,000 as possible.
Answer:
1 or 2
Step-by-step explanation:
5160.5 is less than 5,500 therefore it rounds down to 5,000.
5260.5 is less than 5,500 therefore it rounds down to 5,000.
A tin has a radius of 3cm anf height 6cm. Find the volume, in litres of the liquid that will fill the tin to capacity, correct to 2 decimal places
Answer:
The capacity of tin is 0.17 liter.
Step-by-step explanation:
radius, r = 3 cm
height, h = 6 cm
The capacity of the tin is given by
[tex]V =\pi r^2 h\\\\V =3.14 \times 3\times 3\times 6\\\\V = 169.56 cm^3[/tex]
Now
1000 cubic cm = 1 liter
So, the capacity in liter is
V = 0.169 liter = 0.17 liter
Of 30 student, 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer.
Answer:
12
Step-by-step explanation:
59 point if you answer and explain
Find the unknown for every letter
Answer:
x = 70°, y = 110°, z = 70°
Step-by-step explanation:
The two straight lines are intersection each other.
y = 110° [justification vertical angles, or vertically opposite angles]
x + 110° = 180 [supplementary angles]
therefore x = 180-110 = 70°
Similarly,
z + 110° = 180 [supplementary angles]
therefore z = 180-110 = 70°
Answer:
Y= 110°
Z= 70°
X= Z, which is 70°
Step-by-step explanation:
Because 110° is same to y, y=110°.
A 180° angle is a straight line, so 180-110=70.
Thus, z is 70°
Because x is same to z, it is 70° too.
I need help bad I don’t understand it I’m struggling bad I need help
Answer:
Step-by-step explanation:
angle k is 98 degree because angle k and 98 degree are alternate exterior angles and alternate exterior angles are equal.
The time t required to drive a certain distance varies inversely with the speed, r. If it takes 4 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 55 miles per hour?
A. about 2.91 hours
B. about 160.00 hours
C. about 22.00 hours
D. about 5.50 hours
Answer:
option D
Step-by-step explanation:
4 hours = 40 miles/per hour
? hour = 55 miles/per hour
step one, find rate :
40 divided by 40
1 hour = 10 miles/per Hour
If 4 x 10 = 40
then n x 10 = 55
It takes 5.5 OR 5.50 Hours/per hour for a Distance of 55 miles
Answer is Option D
A box contains 4 marbles: 1 blue, 1 yellow, 1 green, and 1 white. A marble is randomly drawn from the box and a number cube, labeled 1 through 6, is tossed. What is the probability of getting a yellow marble and an odd number? Express as a fraction in simplest form.
Answer:
The answer is 1/8
Step-by-step explanation:
There are 4 marbles in the box and one of them is a yellow marble. The odds of getting a yellow marble fr the box is 1/4.
A number cube labeled 1 through 6 has 6 numbers, which are 1, 2, 3, 4, 5 and 6. The odd numbers in the cube are 1, 3 and 5. The probability of getting an odd number from the cube is 3/6, which is simplified to 1/2.
To find the probability of both cases occurring, both fractions should be multiplied.
1/4 * 1/2 = 1/8
The mean temperature of 10 cups of coffee is 89.6°C. The mean temperature of a different collection of 20 cups of coffee is 92.1 °C. What is the mean temperature of all 30 cups of coffee?
Answer:
91.3 degrees celsius
Step-by-step explanation:
Here, we want to calculate the mean temperature of the 30 cups
From what we have here, if we multiplied the mean by the count of cups, we have the total
That means, we have the total temperature of all as;
(10 * 89.6) + (20 * 92.1) = 2,738
So to get the temperature of the thirty, we divide this by 30 as follows;
2,738/30 = 91.3
WILL MARK BRAINLEIST!!
Answer:
x = 12.26
Step-by-step explanation:
sin = opp/hyp
sin 50 = x/16
multiply both sides by 16
16 * sin50 = x
Use calculator
x = 12.256711089903649
Rounded
x = 12.26
The answer is:
12.26
you multiply both sides
The results of a national survey showed that on average, adults sleep hours per night. Suppose that the standard deviation is hours. Round your answers to the nearest whole number. a. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between and hours. At least b. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between and hours. At least c. Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between and hours per day. At least
Answer:
Following are the solution to the given question:
Step-by-step explanation:
For point a:
[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]
For point b:
[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]
For point c:
Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.
I really need help on this one
Answer:
2000 represents the original amount of butterfly's
3/4 represents the change in butterfly's
To find c) plug 3 in for t and solve.
See image for question. Show workings.
Answer:
6. The word ‘COMMITTEE’ has 9 letters.
So it can be permuted in 9 ways, but we’ve got letters repeating there. To avoid the same arrangements happening again, we eliminate the repetitions.
M repeats twice. T Twice. E twice.
7. If it must be greater than 2000 , the first digit must either be 2 or 3 , which means you will have 2 choices. After that, there will be 3 choices for the second digit. Then there will be 2 choices for the third digit. Lastly there will be just 1 choice for the last digit.
The number of permutations becomes 2×3×2×1=12 .
Step-by-step explanation:
Answer:
#6The word has 9 letters with 2 Ms, 2Ts and 2Es
We need 2 Ts together, this reduces the number of positions by one.
The number of ways:
(9-1)!/2!2! = 8!/4 = 10080#7Digits 0, 1, 2, 3
Number should be greater than 2000, it means the number is:
2xxx ⇒ 3P3 = 3! = 6 waysor
3xxx ⇒ 3P3 = 3! = 6 waysTotal permutations:
2*6 = 12