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#14 plz and thank you

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)

If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.

On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.

For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.

Then the range of F(x) is the interval [-π, π].

Answer:

0.01

Step-by-step explanation:

i hope this help only that u need to do next time is to divide 966 with a number that is close to the sum

Answer:

Elena spends 1.5 hours washing clothes.

Step-by-step explanation:

12.5 / 100 = 0.125

0.125 x 12 = 1.5

[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

Answer:

a^2+b^2=c^2

C=7

b=?

a=4

LET B=x =

[tex] \sqrt{65 } [/tex]

Answer:

A. 5x² - 7 - 72 = 0

5x² - 79 = 0

x = ± √-4ac / 2a

x = ± √- 4 (5) (-79) / 2 (5)

x = ± √ 1580 / 10

x = ± 39.749/10

x = + 39.749/10 x = -39.749/10

= 3.9749 = - 3.9749

B. x² + 2x - 5 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (1) (-5) / 2 (1)

= - 2 ± √4 + 20 / 2

= - 2 ± √ 24 / 2

x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2

= 2.898/2 = -6.898/2

= 1.449 = - 3.449

C. 3x² + 2x - 4 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (3) (-4) / 2 (3)

= - 2 ± √4 + 48 / 6

= - 2 ± √ 52 / 6

x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6

= 5.211/6 = - 9.211 /6

= 0.869 = - 1.535

Hope that helps

Please to re-check answers

Answer:

The temperature of the liquid 15 minutes later is [tex]151.5[/tex]

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]

Answer:

so sorry i don't know the answer

Answer:

(8, 17)

Step-by-step explanation:

y = 3x - 7,  y = 2x + 1

Substitute the second equation into the first for y.

2x + 1 = 3x - 7

8 = x

Now use 8 for x in one of the equations and solve for y.

2(8) + 1 = y

y = 17

(8, 17)

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

Let m = slope of the line.

m = delta y/delta x

m = (-70 -(-44)/(-1 -(-2)

m = (-70 + 44)/(-1 + 2)

m = -26/1

m = -26

Understand?

Answer:

The lizard is 11.43 centimeters long.

Answer:

12 + 2x = y

Step-by-step explanation:

y would be the total cost

Answer:

$12 + $2 × x

Step-by-step explanation:

Answer:

12÷4+13>2+22÷2

Step-by-step explanation:

12÷4=3+13=16

2+22=24÷2=12

Answer:

yes

Step-by-step explanation:

Answer:

z=2.61

Step-by-step explanation:

Answer:

Step-by-step explanation:

fff

Answer:

15 : 1

Step-by-step explanation:

5 : 1/3

Multiply both numbers in the ratio by 3.

5 × 3 : 1/3 × 3

15 : 1

[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]

ok done. Thank to me :>

Answer:

(7,-2)

Step-by-step explanation:

Answer:

(7, - 2 )

Step-by-step explanation:

x - y = 9 ( add y to both sides )

x = y + 9 → (1)

2x + 5y = 4 → (2)

Substitute x = y + 9 into (2)

2(y + 9) + 5y = 4 ← distribute parenthesis and simplify left side

2y + 18 + 5y = 4

7y + 18 = 4 ( subtract 18 from both sides )

7y = - 14 ( divide both sides by 7 )

y = - 2

Substitute y = - 2 into (1)

x = - 2 + 9 = 7

solution is (7, - 2 )

Answer:

72

Step-by-step explanation:

1 * 3/2 * (-8) * 3 * (-2)

3/2 * (-8) * 3 * (-2)

(-24/2) * 3 * (-2)

(-12) * 3 * (-2)

24 * 3

72

We can solve it by seeing the graph but let's solve the equations.

[tex]\\ \sf\Rrightarrow y=-x+2[/tex]

[tex]\\ \sf\Rrightarrow y=x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

Done

Answer:

Step-by-step explanation:

b] find the first time the height of the spring reaches 16 cm above the ground.

Answer:

Step-by-step explanation:

The time it takes to empty the tank = 85/4 + 0.25 = 21.25 minutes.

- because it takes 21 minutes  to empty 84 gallons and the last gallon takes

1/4 of a minute.

Answer:

For A1-4 I am pretty sure the answers are: Question 1.) 3/1 (or 3)  Question 2.) -6/6 (also can be written as -1) Question 3.) 9/5  and Question 4.) -4/3

Step-by-step explanation:

For Question 1 you just rise 3 and run 1 which gets you 3/1

For Question 2, to get from coordinate 2 to 8 you add 6, and to get from coordinate -10 to -16 you subtract 6. This leaves you with -6/6 (or -1)

For Question 3, the slope is written within the equation (y=9/5x-5) the 9/5 is the slope.

For Question 4, you take 4x+3y=6 and turn it into y=mx+b form, to do so you subtract 4x on both sides leaving you with 3y=-4x+6. Then you divide 3 on both sides, y=-4x/3 + 6/3. Then the result would be y=-4/3x+2 which means that the slope is -4/3.

I am not sure if these are all correct, but i hope it helps! :)

Answer:

25

Step-by-step explanation: