Estimate the values of x when y=1

(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:

A(x) = ∫₂ˣ f(t) dt

A(x) = ∫₂ˣ (3t + 2) dt

A(x) = (3/2 t ² + 2t ) |₂ˣ

A(x) = 3/2 x ² + 2x - 10

which is parabolic and easy to graph.

(b) Differentiating A(x) is also easy if you use the "closed" form above:

A'(x) = (3/2 x ² + 2x - 10)'

A'(x) = 3x + 2

and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.

You can get the same result using the fundamental theorem of calculus:

A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2

Answer:

The anwer for Acellus people is B=96 degrees

Step-by-step explanation:

Answer:

the way bottom one i think i dont rember planes anymore

Step-by-step explanation:

Answer:

(-4 1/2,3) is the final result.

Step-by-step explanation:

V(4 1/2, -3)

The order of the reflections do not matter.

So if I consider the x axis first, only the y value will change. Seems weird, but try doing this on a piece of scrap paper.

(4 1/2, 3 ) is the new point. The point is reflected an equal distance behind the mirror on the x axis.

Now do the y axis. Only the x value of the point is changed.

(-4 1/2, 3) is what happens.

===================================

Does the order matter?

V(4 1/2, - 3) goes across the y axis to become (-4 1/2 , - 3)

V'(-4 1/2, -3) goes across the x axis to become (-4 1/2, 3) which is exactly what we got before.

Order does not matter for these 2 transformations.

Answer:

picture 1 : 360 cm2

picture 2:  sorry I don't really know

picture 3: 11.25 cm2

Step-by-step explanation:

hope this helps

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

Answer:  For plato family

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

Use function t to complete the statements.

A fossil with 47%    of its carbon-14 remaining is approximately

years old.

A fossil that is 7,000 years old will have approximately

       17%     of its   carbon-14 remaining.

Step-by-step explanation:

 The  first  box is  2,998

  The  second  box is 17%

Answer:

453/ 2 = 226.5 rounds to 227

672/ 5 = 134.4 rounds to 134

1,294/ 4 = 323.5 rounds to 326

Step-by-step explanation:

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

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Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

Answer: If, on earth, your mass is 30kg, then your weight is m*g which is mass (30kg) times Earth gravity (9.8m/s^2) = 294 N.

Step-by-step explanation:

The weight of a girl would be 294 N on Earth with a mass of 30 Kg.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

The weight on Earth of a girl would be the product of the mass and acceleration due to gravity on Earth

So the required solution would be:

⇒ weight  = mass × acceleration due to gravity on Earth

⇒ weight  = 30 × 9.8

⇒ weight  = 294 N.

Hence, the weight of a girl would be 294 N on Earth with a mass of 30 Kg.

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Answer:

Now to secrtly stalk this man

Step-by-step explanation:

They have used after 5 days, 1 full box and 1/4 of another box.

Fractions are used to represent smaller pieces of a whole.

Given that, Each day, a company used 2 / 8 of a box of paper.

They are using 1/4 box of paper each day,

So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4

Hence, They have used after 5 days, 1 full box and 1/4 of another box.

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Answer:

30

i hope it helps

Answer:

The number of units decreased by [tex]8.7\%[/tex].

Step-by-step explanation:

Initially, 470 units were sold. The following 429 units were sold, meaning this was [tex]470-429=41[/tex] less units than last year. Thus, the number of units sold decreased and the percent of decrease is:

[tex]\frac{41}{470}\approx 8.7\%[/tex]

Answer:

the answer is

12 = y - 5

y=17

x+2 = 4

x=2

Answer:

The answer to that question is c. y = x

Answer:d

Step-by-step explanation:

Answer:

THX FOR THE POINT NOOB

Step-by-step explanation:

Answer:

my teacher has cancer please help her at #snowmanchallenge

Step-by-step explanation:

try to spread the help every snowman is ten dollars for her

Answer:

84

Step-by-step explanation:

112/20= 5.6

5.6*15=84

brainly is easy

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When you put the i out in place for x you multiply so

4x9=36

7x9=63

2x9=18

9x9=81

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.

I am joyous to assist you at any time.

This equation has infinite solutions, any real number makes it true.

Answer:

200/550×100%

=20000/550

=36.37%

Answer:

Liter

Step-by-step explanation:

Answer:

0.4 or 2/5

Step-by-step explanation:

Dana surveyed 20 students in total and out of those 20 only 8 got an A

so:

[tex]\frac{8}{20}[/tex] now if you simplify it [tex]\frac{4}{10}[/tex] and if you simplify it again:

[tex]\frac{2}{5}[/tex] or 0.4 in decimal

Answer:

A should be the answer pls brainliest

Step-by-step explanation:

Answer:

[tex]Mean = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 2, 4, 6, 12, 8, 10.[/tex]

Required

Determine the mean

The mean of a data is calculated as thus:

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

In this case:

[tex]n = 6[/tex]

So, the formula becomes:

[tex]Mean = \frac{2+4+6+12+8+10}{6}[/tex]

[tex]Mean = \frac{42}{6}[/tex]

[tex]Mean = 7[/tex]

Answer:

Angle CBA (the last one)

Step-by-step explanation:

Just look at the order of it. It could either be Angle ABC or Angle CBA.

(hope this helps!)

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

Answer:

3

+

3

−

6

Step-by-step explanation: