1000 x 1000 = ????????????????

Answer:

A

Step-by-step explanation:

did you already ask this one?

Answer:

A

Step-by-step explanation:

We are given the function f and its derivative, given by:

[tex]f^\prime(x)=x^2-a^2=(x-a)(x+a)[/tex]

Remember that f(x) is decreasing when f'(x) < 0.

And f(x) is increasing when f'(x) > 0.

Firstly, determining our zeros for f'(x), we see that:

[tex]0=(x-a)(x+a)\Rightarrow x=a, -a[/tex]

Since a is a (non-zero) positive constant, -a is negative.

We can create the following number line:

<-----(-a)-----0-----(a)----->

Next, we will test values to the left of -a by using (-a - 1). So:

[tex]f^\prime(-a-1)=(-a-1-a)(-a-1+a)=(-2a-1)(-1)=2a+1[/tex]

Since a is a positive constant, (2a + 1) will be positive as well.

So, since f'(x) > 0 for x < -a, f(x) increases for all x < -a.

To test values between -a and a, we can use 0. Hence:

[tex]f^\prime(0)=(0-a)(0+a)=-a^2[/tex]

This will always be negative.

So, since f'(x) < 0 for -a < x < a, f(x) decreases for all -a < x < a.

Lasting, we can test all values greater than a by using (a + 1). So:

[tex]f^\prime(a+1)=(a+1-a)(a+1+a)=(1)(2a+1)=2a+1[/tex]

Again, since a > 0, (2a + 1) will always be positive.

So, since f'(x) > 0 for x > a, f(x) increases for all x > a.

The answer choices ask for the domain for which f(x) is decreasing.

f(x) is decreasing for -a < x < a since f'(x) < 0 for -a < x < a.

So, the correct answer is A.

Answer:

The student's estimate is 20% off.

Step-by-step explanation:

Given that a student has a container with a volume of 1.5 liters, so

As the student estimates the volume to be 1.2 liters, so

Therefore,

Percentage Error = [ |Approx Value - Exact value| ] / [ | Exact value |] × 100

                              = | 1.2 - 1.5 | / | 1.5 |  × 100

                              = [ 0.3 / 1.5 ] × 100

                              = 0.2 × 100

                              = 20%

Therefore, the student's estimate is 20% off.

Answer:

a) For sketch see attached picture.

 [tex]y=-8cos(\pi t)+10[/tex]

b) Mary will be able to enjoy the scenery for a total of 1.68 min or about 101 seconds.

Step-by-step explanation:

a) In order to find the algebraic representation of the problem, we must start by drawing a sketch of what the problem looks like (see attached picture). Next, we can analyze it to see what function better fits the situation. In this case, since the ride starts at the lowest point, then we are talking about a negative cos function. A cos function has the followng general form:

[tex] y= Acos(\omega t - \phi) + C[/tex]

where:

A= amplitude

[tex]\omega[/tex]=angular speed

t=time

[tex]\phi[/tex]= phase shift

C= vertical shift.

In this case the amplitude will be the radius of the ferris wheel, so:

A=-8

it's negative because it starts at the lowest point.

the angular speed is the angle the ride will move in a given amount of time. In this case:

[tex]\omega=\frac{\pi rad}{1 min}[/tex]

[tex]\omega=\pi rad/min[/tex]

There will be no phase shift for this problem.

the vertical shift is the height of the platform, so:

C= 2

so the algebraic expression is:

[tex]y=-8cos(\pi t)+10[/tex]

b) In order to find the total time for which she will enjoy the ride we must start by building an inequality:

[tex]-8cos(\pi t)+10>12[/tex]

and solve it for t. We can start by turning it into an equation, solve it for t and find the answers that can be found into its domain, in this case D=[0,4]

so we get:

[tex]-8cos(\pi t)+10=12[/tex]

we subtract a 10 from both sides so we get:

[tex]-8cos(\pi t)=2[/tex]

and divide 8 to both sides so we get:

[tex]cos(\pi t)=-\frac{1}{4}[/tex]

Next, we take the inverse cosine to both sides and get different answers:

[tex]\pi t = 1.823+2\pi n[/tex]

and

[tex]\pi t=4.46 + 2\pi n[/tex]

we take both equations and divide them into pi so we get:

[tex]t = 0.58+2 n[/tex]

and

[tex]t=1.42 + 2n[/tex]

so now we find the possible answers that are between 0 and 4 minutes, this is for n=0 and 1, so we get the following times:

t={0.58, 1.42, 2.58, 3.42} min

we can now build our possible intervals for which the ferris wheel is higher than 12 m so we get the following intervals:

(0, 0.58) (0.58, 1.42) (1.42, 2.58) (2.58, 3.42) and (2.58, 4)

so we pick a test value for each of the intervals and test it on our equation. If the equation gives us a number that is greater than 12, then we have a valid interval. If we get a value that is less than 12, then we just discard that interval.

for (0, 0.58) we use 0.5 and get an answer of 10. We discard this interval.

for (0.58, 1.42) we use 1 and get an answer of 18. This is a valid interval.

for (1.42, 2.58) we use a 2 and get an answer of 2. We discard this interval.

for (2.58, 3.42) we use a 3 and get an answer of 18. This is a valid interval.

and finally, for (2.58, 4) we use a 3.5 and get an answer of 10. We discard this interval

So we have two valid intervals now: (0.58, 1.42) and (1.42, 2.58). So now we can use them to find the time for which Mary will enjoy the scenery.

[tex]t_{1}=1.42min-0.58min=0.85min[/tex]

[tex]t_{2}=2.58min-1.42min=0.85min[/tex]

[tex]t_{total}=0.85min+0.85min[/tex]

[tex]t_{total}=1.68min[/tex]

so:

Mary will be able to enjoy the scenery for a total of 1.68 min or about 101 seconds.

Answer:

Hey, your picture is non-existent, you know?

Answer:

Associative Property of Multiplication

Step-by-step explanation:

associative property is where the order stays the same but the parenthesis are rearranged.

Answer:

6%

Step-by-step explanation:

let 't' = tax rate

45t = 2.7

t = 2.7/45

t = .06

Answer:

3x+x ≤36

Step-by-step explanation:

Given that,

The chess club can have at most 36 members.

There are 3 times as many boys as girls in the chess club

Let there are x girls in the chess club.

Boys = 3x

ATQ,

3x+x ≤36

So, the correct inequality is (d) i.e. 3x+x ≤36

Answer:

-10

Step-by-step explanation:

Answer:

= -10

Step-by-step explanation:

-7 + (-3)

=

-7 - 3

-10

• The single-digit numbers 1-9 do not have any repeated digits, so they contribute 9 numbers.

• Of double-digit numbers 10-99, the first digit can be picked from 1-9 and the second from 0-9 minus whichever one is picked for the first digit, so they contribute 9×(10 - 1) = 81 numbers.

• Of the triple-digit numbers 100-999, the first digit is picked from 1-9 and the second and third digits from 0-9, so they contribute 9×(10 - 1)×(10 - 2) = 648 numbers.

So there are 9 + 81 + 648 = 738 numbers from 1-999 without repeated digits.

Of these numbers, the ones that are even end in 0, 2, 4, 6, or 8.

• Of the single-digits, there are 4 numbers.

• Of the double-digits, the first digit can be chosen from 1-9 and the second from {0, 2, 4, 6, 8}.

•• If the first digit is odd and picked from {1, 3, 5, 7, 9}, then they contribute 5×5 = 25 numbers.

•• If the first digit is even, then they contribute 4×(5 - 1) = 16 numbers (because the first digit can't be 0).

• Of the triple-digits, the third digit is picked from {0, 2, 4, 6, 8}.

•• If both the first and second digits are odd, then they contribute 5×(5 - 1)×5 = 100 numbers.

•• If the first is odd and the second is even, then they contribute 5×5×(5 - 1) = 100 numbers.

•• If the first is even and the second is odd, then they contribute 4×5×(5 - 1) = 80 numbers.

•• If both are even, then they contribute 4×(5 - 1)×(5 - 2) = 48 numbers.

So there are 4 + (25 + 16) + (100 + 100 + 80 + 48) = 373 even numbers from 1-999 with no repeating digits.

Answer:

A.

Step-by-step explanation:

The x-intercepts are the points where the x value is zero. In this case, to find the "zeros" of the function, set each factor to zero. x-5 -> x=5. x-6 -> x=6. x+4 -> x=-4.

Answer:

3 13/24

Step-by-step explanation:

Answer:

I think its -1

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

25% of 12 is 4

or

1/4 of 12 is 4

12-4=8

Answer:

9

Step-by-step explanation:

12/4 = 3

The 4 comes from 100% divided by 25%.

Then 12 dogs -3 equals 9 dogs

Answer:

56x + 16

Step-by-step explanation:

To simplify the expression, we just multiply the number outside the parenthesis - 8 in this problem - by both numbers inside the parenthesis.

So,

8 * 7x = 56x

8 * 2 = 16

56x + 16 is 56x + 16.

This cannot be further simplified.

Answer:

56x+16

Step-by-step explanation:

7x multiply by 8 and 2 multiply by 8.

Answer:

x=0 y=-14

Step-by-step explanation:

lmk if you need the steps ill put them in comments if u need them :)

Answer:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

Step-by-step explanation:

The reason for approximation is from distortion of image.

See attached image to understand how the measurement has been obtained.

The measure of the bearing of city B from A is 030° and measure the bearing of city A from B is 210°.

The term bearing is used in the navigation. The bearing is the horizontal angle which is made between the direction of an object to the another object.

This angle is measure in the clockwise direction from the north direction.

For example, if 40 clockwise from the north direction is represented as 040° in a bearing angle.

The two cities in the attached image below are show. The city A is at some distance from the city B.

Let suppose the city B is from 30 degrees from the north on clockwise. Thus, to measure of the bearing of B from A will be 030°.

Now add 180 degree to this angle to get the bearing of A from B. Thus,

[tex]180+30=210^o[/tex]

Hence, the measure of the bearing of city B from A is 030° and measure the bearing of city A from B is 210°.

Learn more about the bearing angle here;

https://brainly.com/question/23427938

Answer:

Mr. Jason uses this recipe to make a pizza crust with an area of 400 square inches. Since he needs to double the recipe to get a 400 square inch crust, how many cups of flour will he need to use. Explain your answer. ​

Step-by-step explanation:

Answer:

a=12

Step-by-step explanation:

hope this helps!

Answer:

y-1/2=4(x-3/8)

(2y-1)/2=4(8x-3)/8

2y-1=[4(8x-3)/4]

2y-1=8x-3

8x-2y-2 is the eqn

taking 2 common we get

4x-y-1=0

we get

y intercept as -1

then,

y=1+4x

Answer:

Edge 2021

Answer:

160 miles

Step-by-step explanation:

Given data

Company A

Charges $100 a day plus $0.40 per mile

let the number of miles be x

and the total charges be y

y= 100+0.4x-----------1

Company B

charges $20dayplus $0.90 per mile

y= 20+0.9x---------------2

Equate 1 and 2

100+0.4x= 20+0.9x

collect like terms

100-20=0.9x-0.4x

80= 0.5x

divide both sides by 0.5

x=80/0.5

x=160 miles

Hence the number of miles is 160 miles

Answer:

a = -4 or 3

Step-by-step explanation:

(x, y) therefore, with (a, 12) x = a and y = 12

y = x^2 + x

12 = a^2 + a

a^2 + a - 12 = 0 (quadratic equation)

a^2 + 4a - 3a - 12 = 0

a(a+4) - 3(a+4)

(a + 4) (a - 3) = 0

a = -4, 3

Answer:

the perimeter of the rectangle =2(l+w).

Answer:

theres no picture

Step-by-step explanation:

oof man no picture cant do nothin

Step-by-step explanation:

35.00$ r=5 hopefully that's what you were asking for I don't understand the 50 are amount earned in dollars amount earned in dollars would have $35

Answer:

khjkug

Step-by-step explanation:

Answer:

idxk either *hug*

Step-by-step explanation:

Answer:

4z4−6z3−2z2−20z+1

Step-by-step explanation:

4z5−14z4+10z3−16z2+41z−2

z−2

=

4z5−14z4+10z3−16z2+41z−2

z−2

=

(z−2)(4z4−6z3−2z2−20z+1)

z−2

=4z4−6z3−2z2−20z+1

(theres no more like terms so u cant)

Answer:

x = 3

Step-by-step explanation:

MN is exactly half of 6x + 2 (midpoint theorem)

2(2x + 4) = 6x + 2

4x + 8 = 6x + 2

-2x + 8 = 2

-2x = -6

x = 3