Simplify
Rewrite the expression in the form 9^n
(9^2)^5

Answer:

The lizard is 11.43 centimeters long.

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:

(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:

Elena spends 1.5 hours washing clothes.

Step-by-step explanation:

12.5 / 100 = 0.125

0.125 x 12 = 1.5

Answer:

12 + 2x = y

Step-by-step explanation:

y would be the total cost

Answer:

$12 + $2 × x

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

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:

Step-by-step explanation:

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

Answer:

so sorry i don't know the answer

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:

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:

a^2+b^2=c^2

C=7

b=?

a=4

LET B=x =

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

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

Answer:

d > -39

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

yes

Step-by-step explanation:

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

Answer:

z=2.61

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: This question is not right

Step-by-step explanation:

What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.

1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800

There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's

Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question

Answer:

Step-by-step explanation:

fff

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:

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.

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:

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

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:

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! :)