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3 years ago

Check all the answers to represent the same level of precision. A-0.59 B-100.6 C-98.42 D-1.045

1 answer:

5 0

A) 0.59 uses 2 sig figs
B) 100.6 uses 4 sig figs (the zeros in this case are significant)
C) 98.42 uses 4 sig figs
D) 1.045 uses 4 sig figs (the zero is between other sig figs so it's significant)

Every choice but choice A has 4 sig figs. So the answers are B, C, and D

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if hari and don each have two cases of Cotton candy spools and each case has 5 spoons of cotton candy inside, how many they have

Shkiper50 [21]

you will have 10 if im mistaken it is 5 i hope this is kinda helpful im only in 6th grade sorry if it is wrong

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2 years ago

The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf

mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is $\frac{2}{3}$ .

Step-by-step explanation:

The given equation of ellipse is

$2x^2+xy+y^2=4$

Differentiate both sides with respect to x.

$\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)$

$\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)$

$4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0$

$(4x+y)+(x+2y)\frac{dy}{dx}=0$

$\frac{dy}{dx}=-\frac{4x+y}{x+2y}$

Calculate the value of \frac{dy}{dx} at (1,-2).

$\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}$

$\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}$

$\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}$

Therefore the slope of tangent at point (1,-2) is $\frac{2}{3}$ .

3 0

3 years ago

Read 2 more answers

Which algebraic expression represents "the difference of 54 and a number"?

atroni [7]

$\huge{\boxed{54-x}}$

The difference is the result of a subtraction problem.

We are given two values that are being subtracted: 54 and a number, represented by $x$

So, represent this mathematically with $\boxed{54-x}$ .

5 0

3 years ago

Read 2 more answers

i need help with this questions asap please. A grocery clerk is making a display of oranges. The numbers of oranges in the layer

ahrayia [7]

Answer:

If there is 1 at the top, then you have 1, then 2, then 3, etc.

total number of oranges equals:

1 + 2 + 3 + ... + 16 + 17 + 18 <-- stop at 18 because this is the number of oranges at the base

You can use the formula:

sum of first n numbers = n*(n + 1)/2

-->

18*19/2 = 9*19 = 171

or you can figure it out (basically derive the above formula):

you have:

1 + 18 = 19

2 + 17 = 19

3 + 16 = 19

...

How many pairs do you have? Well, it's just the number of numbers: 1-18 = 18 numbers (divide by 2) = 9 pairs)

9 pairs of 19 = 9 * 19 = 171

Hope this helps!

Step-by-step explanation:

3 0

3 years ago

If 3 students make up 10% of the class, how many students are there total in the class?

stealth61 [152]

Answer:

30 students

Step-by-step explanation:

3 students = 10% of the class.

x students = 90% of the class.

(If more, less divides. Let x be the subject. Since we know 10% of the class already, we have to find the remaining 90% that is 100% - 10% = 90%.)

x = 90%/ 10% × 3 students. ( the percentage signs cancel out and so do the zero's.)

x= 9/1 × 3 students ( 9/1 is the same as 9)

x= 27 students

(To find the total, you must add the 10% of the students to the remaining 90% of the students in the class.)

Total number of students in the class = 27 students + 3 students

= 30 students

7 0

2 years ago