The side of a square is 7 m with a possible error of 0.05 m. Use differentials to approximate the maximum relative error in calculating the area of the square. Remember that the area of a square with side length s is A

Answer:

1/8th chance of spinning yellow

or as a decimal 0.125

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

30 percent off 180.00 is 126.00.

the difference is $54

Answer:

x+41=-11 I guess

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

It's closer to 700,000 than 800,000. Hope this helps! Have a nice day :)

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.[/tex]

And we want to find:

[tex]\displaystyle \lim_{x\to -1}f(x)[/tex]

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

[tex]\displaystyle \lim_{x\to-1^-}f(x)[/tex]

Since we are approaching from the left, we will use the first equation:

[tex]\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)[/tex]

By direct substitution:

[tex]=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2[/tex]

Right-Hand Limit:

[tex]\displaystyle \lim_{x\to -1^+}f(x)[/tex]

Since we are approaching from the right, we will use the second equation:

[tex]=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}[/tex]

Direct substitution:

[tex]\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2[/tex]

So, we can see that:

[tex]\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2[/tex]

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

[tex]\displaystyle \lim_{x \to -1}f(x)=-2[/tex]

Our answer is A.

Answer:

AAAAAAAAAAAAAAAAA

Step-by-step explanation: EDGE 2022

Answer:

12000 mg/day or 80 capsules

Step-by-step explanation:

First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.

44/2.2=20 kg

600*20=12000 mg per day

12000/150=80 capsules

Seems a bit excessive but looking over my process I don't see any mistakes.

Answer:

the 20-29 year old man are relatively taller.

Step-by-step explanation:

for the old man we have next z- score=75-69.6/3.1=1.74

for the old women we have next z-score=70-64.1/3.9=1.51

Answer:

C) 11

Step-by-step explanation:

The common multiples less than 70 of 6 and 8 are: 24 and 48.  

If there are 24 blue and green (12 each), there would be 46 yellow and red.  Half of 46 is 23, which isn’t an answer choice.

If there are 48 blue and green (24 of each), there would be 22 yellow and red.  Half of 22 is 11.

Answer:

4,350

Step-by-step explanation:

I'm taking the diagnostic

Answer:

There is a 10 percent increase

Answer:4:1

Step-by-step explanation:

Answer:

This is the answer:

330550=

Answer:

Median= middle number

(Example) 1, 4 ,6, 7 ,12

6 Would be the median here

so, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8,

5 Is the middle number and the median

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8

Hope this helped! Please leave any questions or concerns in the comments byeee <3

Answer:

equation:  C = 15 - R

C = 15 - 7

C = 8

Step-by-step explanation:

Okay first of all stan the karl pfp

Answer:

The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A used car dealership surveyed 50 customers who bought a card from them two years ago. 78% of customers said that they would recommend this dealership to their friends.

This means that [tex]n = 50, \pi = 0.78[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 - 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.6836[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 + 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.8764[/tex]

As a percent:

0.6836*100% = 68.36%

0.8764*100% = 87.64%

The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).

Answer:

135cm^3

Step-by-step explanation:

Answer:1/7/8/9/45

Step-by-step explanation:

Step-by-step explanation:

I dont know if this helps but that what I came up with

= [tex] log_{ 3}({x}^{2} - 4) - log_{3}(x - 2) + log_{3}(x) [/tex]

= [tex] log_{ 3}(\dfrac{{x}^{2} - 4}{x - 2}) + 2 × 1[/tex]

= [tex] log_{ 3}(\dfrac{(x-2)(x+2)}{x - 2}) + 2 × 1[/tex]

= [tex] log_{ 3}(x+2) + 2 × 1[/tex]

Answer:

3

Step-by-step explanation:

i don't know i had to answer this and i put 300 but apparently its 3..?

Answer:

[tex]Mean = 6.07[/tex]

[tex]Median = 7[/tex]

[tex]Mode = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]n = 15[/tex]

Solving (a): The mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

This gives:

[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]

[tex]Mean = \frac{91}{15}[/tex]

[tex]Mean = 6.07[/tex]

Solving (b): The median

Sort the data in ascending order:

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{15 + 1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]    

The 8th item on the sorted dataset is 7; So:

[tex]Median = 7[/tex]

Solving (c): The mode

[tex]Mode = 7[/tex]

Because it has a frequency of 3 (more than any other element of the dataset).

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!

Answer:

45 square ft^2

Step-by-step explanation: The formula of the area of the trapezoid is A=(a+b)/2 x h. A represents the top while b represents the bottom. 15+3=18 and 18/2=9. If multiply the result by 5, you get 45 as the answer.

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

Answer:

20 square meters

Step-by-step explanation:

area = length x width

area of grass = 4 x 4 = 16

area of grass and cement = 6 x 6 = 36

Now you subtract to find the area of the cement.

36 - 16 = 20

Answer:

A.

Step-by-step explanation:

Answer:

hmax = 628 ft

Step-by-step explanation:

The bullet will reach its maximum height when its velocity h'(t) becomes zero. The equation of motion is

h(t) = -16t^2 + 200t + 3

Taking the derivative of h(t) is

h'(t) = -32t + 200

Solving for t when h'(t) = 0, we get

t = 200/32 = 6.25 s

and this is the time it takes for the bullet to reach its maximum height. Using this value for t into h(t), we get

h = -16(6.25 s)^2 + 200(6.25 s) + 3

= 628 ft

Answer:

3/32 in³

Step-by-step explanation:

To find the volume of a rectangular prism, multiply the length, width, and height.

[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]

Therefore, the volume is 3/32 in³.